ਗਣਿਤਿਕ ਸਥਿਰਾਂਕ ਅਤੇ ਫੰਕਸ਼ਨ

ਇੱਕ ਗਣਿਤਿਕ ਕੌਂਸਟੈਂਟ ਜਾਂ ਸਥਿਰਾਂਕ ਇੱਕ ਅਜਿਹਾ ਨੰਬਰ (ਸੰਖਿਆ) ਹੁੰਦਾ ਹੈ, ਜਿਸਦਾ ਕੈਲਕੁਲੇਸ਼ਨਾਂ ਲਈ ਇੱਕ ਖਾਸ ਅਰਥ ਹੁੰਦਾ ਹੈ। ਉਦਾਹਰਨ ਦੇ ਤੌਰ 'ਤੇ, ਸਥਿਰਾਂਕ π (ਪਾਈ) ਦਾ ਅਰਥ ਹੈ ਕਿਸੇ ਚੱਕਰ ਦੇ ਘੇਰੇ ਦੀ ਲੰਬਾਈ ਦਾ ਇਸਦੇ ਡਾਇਆਮੀਟਰ (ਅਰਧ-ਵਿਆਸ) ਪ੍ਰਤਿ ਅਨੁਪਾਤ (ਰੇਸ਼ੋ)। ਇਹ ਮੁੱਲ ਹਮੇਸ਼ਾ ਹੀ ਕਿਸੇ ਚੱਕਰ ਲਈ ਇਹੀ ਰਹਿੰਦਾ ਹੈ।

ਸਾਰਣੀਆਂ ਦੀ ਬਣਤਰ

• ਸਥਿਰਾਂਕ ਦਾ ਸੰਖਿਅਕ ਮੁੱਲ ਅਤੇ ਗਣਿਤ-ਸੰਸਾਰ ਨਾਲ ਜਾਂ OEIS ਵਿਕੀ ਨਾਲ ਲਿੰਕ।
• LaTeX: ਫੌਰਮੈਟ ਵਿੱਚ ਫਾਰਮੂਲਾ ਜਾਂ ਸੀਰੀਜ਼।
• ਫਾਰਮੂਲਾ: ਵੌਲਫ੍ਰਾਮ ਅਲਫਾ ਪ੍ਰੋਗਰਾਮ ਅੰਦਰ ਵਰਤੋਂ ਵਾਸਤੇ।
• OEIS: On-Line Encyclopedia of।nteger Sequences।
• ਨਿਰੰਤਰ ਭਿੰਨ: ਰੂਪ [to integer; frac1, frac2, frac3, ...] ਵਿੱਚ ਸਰਲ, ਜੇਕਰ ਪੀਰੀਔਡਿਕ ਹੋਵੇ ਤਾਂ ਫਰਮਾ:Overline।
• ਸਾਲ: ਸਥਿਰਾਂਕ ਦੀ ਖੋਜ, ਜਾਂ ਵਿਦਵਾਨ ਦੀਆਂ ਤਰੀਕਾਂ।
• ਵੈਬ ਫੌਰਮੈਟ: ਵੈਬ ਬਰਾਊਜ਼ਰਾਂ ਲਈ ਢੁਕਵੇਂ ਫੌਰਮੈਟਾਂ ਵਿੱਚ ਮੁੱਲ।
• Nº: ਨੰਬਰ ਕਿਸਮਾਂ।
  • R – ਰੈਸ਼ਨਲ ਸੰਖਿਆ
  • । – ਗੈਰ-ਰੈਸ਼ਨਲ ਸੰਖਿਆ
  • A – ਅਲਜਬ੍ਰਿਕ ਸੰਖਿਆ
  • T – ਟ੍ਰਾਂਸਡੈਂਟਲ ਸੰਖਿਆ
  • C – ਗੈਰ-ਵਾਸਤਵਿਕ ਕੰਪਲੈਕਸ ਨੰਬਰ

ਸਥਿਰਾਂਕਾਂ ਅਤੇ ਫੰਕਸ਼ਨਾਂ ਦੀ ਸਾਰਣੀ

ਨਾਮ, ਮੁੱਲ, OEIS ਅਦਿ ਉੱਤੇ ਕਲਿੱਕ ਕਰਕੇ ਤੁਸੀਂ ਸੂਚੀ ਦੇ ਔਰਡਰ ਨੂੰਚੁਣ ਸਕਦੇ ਹੋ.. ਫਰਮਾ:ਅਨੁਵਾਦ

Value	Name	Graphics	Symbol	LaTeX	Formula	Nº	OEIS	Continued fraction	Year	Web format
0.74048 04896 93061 04116	Hermite constant Sphere packing 3D Kepler conjecture		${\mu }_{{}_K}$	$\frac{\pi }{3\sqrt{2}}......$ The Flyspeck project, led by Thomas Hales, demonstrated in 2014 that Kepler's conjecture is true.	pi/(3 sqrt(2))		ਫਰਮਾ:OEIS2C	[0;1,2,1,5,1,4,2,2,1,1,2,2,2,6,1,1,1,5,2,1,1,1, ...]	1611	0.74048048969306104116931349834344894
22.45915 77183 61045 47342	pi^e		${\pi }^e$	${\pi }^e$	pi^e		ਫਰਮਾ:OEIS2C	[22;2,5,1,1,1,1,1,3,2,1,1,3,9,15,25,1,1,5,...]		22.4591577183610454734271522045437350
2.80777 02420 28519 36522	Fransén-Robinson constant		$F$	$\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{1}{\mathrm{\Gamma }(x)}dx.=e+\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{e^{-x}}{{\pi }^2+{\ln }^{2}x}dx$	N[int[0 to ∞] {1/Gamma(x)}]		ਫਰਮਾ:OEIS2C	[2;1,4,4,1,18,5,1,3,4,1,5,3,6,1,1,1,5,1,1,1...]	1978	2.80777024202851936522150118655777293
1.30568 6729 ≈ by Thomas & Dhar 1.30568 8 ≈ by McMullen	Fractal dimension of the Apollonian packing of circles ਫਰਮਾ:,		$\epsilon$				ਫਰਮਾ:OEIS2C	[0;3,2,3,16,8,10,3,1,1,2,1,3,1,2,13,1,1,4,1,5,...]	1994 1998	1.305686729 ≈ 1.305688 ≈
0.43828 29367 27032 11162 0.36059 24718 71385 485 i	Infinite Tetration of i		${}^{\mathrm{\infty }}i$	$\underset{n\to \mathrm{\infty }}{\lim }{}^{n}i=\underset{n\to \mathrm{\infty }}{\lim }\underset{n}{\underbrace{i^{i^{{\cdot }^{{\cdot }^i}}}}}$	i^i^i^i^i^i^...	C	ਫਰਮਾ:OEIS2C ਫਰਮਾ:OEIS2C	[0;2,3,1,1,4,2,2,1,10,2,1,3,1,8,2,1,2,1, ...] + [0;2,1,3,2,2,3,1,5,5,1,2,1,10,10,6,1,1...] i		0.43828293672703211162697516355126482 + 0.36059247187138548595294052690600 i
0.92883 58271	Sum of the reciprocals of the averages of the twin prime pairs, JJGJJG		$B_1$	$\frac{1}{4}+\frac{1}{6}+\frac{1}{12}+\frac{1}{18}+\frac{1}{30}+\frac{1}{42}+\frac{1}{60}+\frac{1}{72}+\cdots$	1/4 + 1/6 + 1/12 + 1/18 + 1/30 + 1/42 + 1/60 + 1/72 + ...		ਫਰਮਾ:OEIS2C	[0; 1, 13, 19, 4, 2, 3, 1, 1]	2014	0.928835827131
0.63092 97535 71457 43709	Fractal dimension of the Cantor set		$d_f(k)$	$\underset{\epsilon \to 0}{\lim }\frac{\log N(\epsilon )}{\log (1/\epsilon )}=\frac{\log 2}{\log 3}$	log(2)/log(3) N[3^x=2]	T	ਫਰਮਾ:OEIS2C	[0;1,1,1,2,2,3,1,5,2,23,2,2,1,1,55,1,4,3,1,1,...]		0.63092975357145743709952711434276085
0.31830 98861 83790 67153	।nverse of Pi, Ramanujan		$\frac{1}{\pi }$	$\frac{2\sqrt{2}}{9801}\sum _{n=0}^{\mathrm{\infty }}\frac{(4n)!(1103+26390n)}{(n!{)}^{4}396^{4n}}$	2 sqrt(2)/9801 * Sum[n=0 to ∞] {((4n)!/n!^4) *(1103+ 26390n) / 396^(4n)}	T	ਫਰਮਾ:OEIS2C	[0;3,7,15,292,1,1,1,2,1,3,1,14,2,1,1,2,2,2,...]		0.31830988618379067153776752674502872
0.28878 80950 86602 42127	Flajolet and Richmond		$Q$	$\prod _{n=1}^{\mathrm{\infty }}(1-\frac{1}{2^n})=(1-\frac{1}{2^1})(1-\frac{1}{2^2})(1-\frac{1}{2^3})...$	prod[n=1 to ∞] {1-1/2^n}		ਫਰਮਾ:OEIS2C	[0;3,2,6,4,1,2,1,9,2,1,2,3,2,3,5,1,2,1,1,6,1,...]	1992	0.28878809508660242127889972192923078
1.53960 07178 39002 03869	Lieb's square ice constant		$W_{2D}$	$\underset{n\to \mathrm{\infty }}{\lim }(f(n){)}^{n^{-2}}={\left(\frac{4}{3}\right)}^{\frac{3}{2}}=\frac{8}{3\sqrt{3}}$	(4/3)^(3/2)	A	ਫਰਮਾ:OEIS2C	[1;1,1,5,1,4,2,1,6,1,6,1,2,4,1,5,1,1,2,...]	1967	1.53960071783900203869106341467188655
0.20787 95763 50761 90854	$i^i$		$i^i$	$e^{-\frac{\pi }{2}}$	e^(-π/2)	T	ਫਰਮਾ:OEIS2C	[0;4,1,4,3,1,1,1,1,1,1,1,1,7,1,20,1,3,6,10,...]	1746	0.20787957635076190854695561983497877
4.53236 01418 27193 80962	Van der Pauw constant		$\alpha$	$\frac{\pi }{\ln (2)}=\frac{\sum _{n=0}^{\mathrm{\infty }}\frac{4(-1{)}^n}{2n+1}}{\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{n+1}}{n}}=\frac{\frac{4}{1}-\frac{4}{3}+\frac{4}{5}-\frac{4}{7}+\frac{4}{9}-\cdots }{\frac{1}{1}-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{5}-\cdots }$	π/ln(2)		ਫਰਮਾ:OEIS2C	[4;1,1,7,4,2,3,3,1,4,1,1,4,7,2,3,3,12,2,1,...]		4.53236014182719380962768294571666681
0.76159 41559 55764 88811	Hyperbolic tangent of 1		$th1$	$-i\tan (i)=\frac{e-\frac{1}{e}}{e+\frac{1}{e}}=\frac{e^2-1}{e^2+1}$	(e-1/e)/(e+1/e)	T	ਫਰਮਾ:OEIS2C	[0;1,3,5,7,9,11,13,15,17,19,21,23,25,27,...] = [0;ਫਰਮਾ:Overline], p∈ℕ		0.76159415595576488811945828260479359
0.59017 02995 08048 11302	Chebyshev constantਫਰਮਾ:,		${\lambda }_{Ch}$	$\frac{\mathrm{\Gamma }(\frac{1}{4}{)}^2}{4{\pi }^{3/2}}=\frac{4(\frac{1}{4}!{)}^2}{{\pi }^{3/2}}$	(Gamma(1/4)^2) /(4 pi^(3/2))		ਫਰਮਾ:OEIS2C	[0;1,1,2,3,1,2,41,1,6,5,124,5,2,2,1,1,6,1,2,...]		0.59017029950804811302266897027924429
0.07077 60393 11528 80353 -0.68400 03894 37932 129 i	MKB constant ਫਰਮਾ:,ਫਰਮਾ:,		$M_I$	$\underset{n\to \mathrm{\infty }}{\lim }\underset{1}{\overset{2n}{\int }}(-1{)}^x\sqrt[x]{x}dx=\underset{1}{\overset{2n}{\int }}{e}^{i\pi x}{x}^{1/x}dx$	lim_(2n->∞) int[1 to 2n] {exp(i*Pi*x)*x^(1/x) dx}	C	ਫਰਮਾ:OEIS2C ਫਰਮਾ:OEIS2C	[0;14,7,1,2,1,23,2,1,8,16,1,1,3,1,26,1,6,1,1, ...] - [0;1,2,6,13,41,112,1,25,1,1,1,1,3,13,2,1, ...] i	2009	0.07077603931152880353952802183028200 -0.68400038943793212918274445999266 i
1.25992 10498 94873 16476	Cube root of 2 Delian Constant		$\sqrt[3]{2}$	$\sqrt[3]{2}$	2^(1/3)	A	ਫਰਮਾ:OEIS2C	[1;3,1,5,1,1,4,1,1,8,1,14,1,10,2,1,4,12,2,3,...]		1.25992104989487316476721060727822835
1.09317 04591 95490 89396	Smarandache Constant 1ª		$S_1$	$\sum _{n=2}^{\mathrm{\infty }}\frac{1}{\mu (n)!}....$ where μ(n) is the Kempner function			ਫਰਮਾ:OEIS2C	[1;10,1,2,1,2,1,13,3,1,6,1,2,11,4,6,2,15,1,1,...]		1.09317045919549089396820137014520832
0.62481 05338 43826 58687 + 1.30024 25902 20120 419 i	Generalized continued fraction of i		${F_{CG}}_{(i)}$	$i+\frac{i}{i+\frac{i}{i+\frac{i}{i+\frac{i}{i+\frac{i}{i+\frac{i}{i+i/...}}}}}}=\sqrt{\frac{\sqrt{17}-1}{8}}+i(\frac{1}{2}+\sqrt{\frac{2}{\sqrt{17}-1}})$	i+i/(i+i/(i+i/(i+i/(i+i/( i+i/(i+i/(i+i/(i+i/(i+i/( i+i/(i+i/(i+i/(i+i/(i+i/( i+i/(i+i/(i+i/(i+i/(i+i/( ...)))))))))))))))))))))	C A	ਫਰਮਾ:OEIS2C ਫਰਮਾ:OEIS2C	[i;1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,i,1,..] = [0;ਫਰਮਾ:Overline]		0.62481053384382658687960444744285144 + 1.30024259022012041915890982074952 i
3.05940 74053 42576 14453	Double factorial constant		$C_{{}_{n!!}}$	$\sum _{n=0}^{\mathrm{\infty }}\frac{1}{n!!}=\sqrt{e}[\frac{1}{\sqrt{2}}+\gamma (\frac{1}{2},\frac{1}{2})]$	Sum[n=0 to ∞]{1/n!!}		ਫਰਮਾ:OEIS2C	[3;16,1,4,1,66,10,1,1,1,1,2,5,1,2,1,1,1,1,1,2,...]		3.05940740534257614453947549923327861
5.97798 68121 78349 12266	Madelung Constant 2		$H_2(2)$	$\pi \ln (3)\sqrt{3}$	Pi Log[3]Sqrt[3]		ਫਰਮਾ:OEIS2C	[5;1,44,2,2,1,15,1,1,12,1,65,11,1,3,1,1,...]		5.97798681217834912266905331933922774
0.91893 85332 04672 74178	Raabe's formula		${\zeta }^{\prime }(0)$	$\underset{a}{\overset{a+1}{\int }}\log \mathrm{\Gamma }(t)\mathrm{d}t=\frac{1}{2}\log 2\pi +a\log a-a,a\ge 0$	integral_a^(a+1) {log(Gamma(x))+a-a log(a)} dx		ਫਰਮਾ:OEIS2C	[0;1,11,2,1,36,1,1,3,3,5,3,1,18,2,1,1,2,2,1,1,...]		0.91893853320467274178032973640561763
2.20741 60991 62477 96230	Lower limit in the moving sofa problem		$S_{{}_H}$	$\frac{\pi }{2}+\frac{2}{\pi }$	pi/2 + 2/pi	T	ਫਰਮਾ:OEIS2C	[2;4,1,4,1,1,2,5,1,11,1,1,5,1,6,1,3,1,1,1,1,7,...]	1967	2.20741609916247796230685674512980889
1.17628 08182 59917 50654	Salem number, Lehmer's conjecture		${\sigma }_{{}_{10}}$	$x^{10}+x^9-x^7-x^6-x^5-x^4-x^3+x+1$	x^10+x^9-x^7-x^6 -x^5-x^4-x^3+x+1	A	ਫਰਮਾ:OEIS2C	[1;5,1,2,17,1,7,2,1,1,2,4,7,2,2,1,1,15,1,1, ...	1983?	1.17628081825991750654407033847403505
0.37395 58136 19202 28805	Artin constant		$C_{Artin}$	$\prod _{n=1}^{\mathrm{\infty }}(1-\frac{1}{p_n(p_n-1)})p_n\text{ = prime}$	Prod[n=1 to ∞] {1-1/(prime(n) (prime(n)-1))}		ਫਰਮਾ:OEIS2C	[0;2,1,2,14,1,1,2,3,5,1,3,1,5,1,1,2,3,5,46,...]	1999	0.37395581361920228805472805434641641
0.42215 77331 15826 62702	Volume of Reuleaux tetrahedron		$V_{{}_R}$	$\frac{s^3}{12}(3\sqrt{2}-49\pi +162\arctan \sqrt{2})$	(3*Sqrt[2] - 49*Pi + 162*ArcTan[Sqrt[2]])/12		ਫਰਮਾ:OEIS2C	[0;2,2,1,2,2,7,4,4,287,1,6,1,2,1,8,5,1,1,1,1, ...]		0.42215773311582662702336591662385075
2.82641 99970 67591 57554	Murata Constant		$C_m$	$\prod _{n=1}^{\mathrm{\infty }}\underset{p_n:prime}{(1+\frac{1}{(p_n-1{)}^2})}$	Prod[n=1 to ∞] {1+1/(prime(n) -1)^2}		ਫਰਮਾ:OEIS2C	[2;1,4,1,3,5,2,2,2,4,3,2,1,3,2,1,1,1,8,2,2,28,...]		2.82641999706759157554639174723695374
1.09864 19643 94156 48573	Paris Constant		$C_{Pa}$	$\prod _{n=2}^{\mathrm{\infty }}\frac{2\phi }{\phi +{\phi }_n},\phi =Fi$ con ${\phi }_n=\sqrt{1+{\phi }_{n-1}}$ y ${\phi }_1=1$			ਫਰਮਾ:OEIS2C	[1;10,7,3,1,3,1,5,1,4,2,7,1,2,3,22,1,2,5,2,1,...]		1.09864196439415648573466891734359621
2.39996 32297 28653 32223 Radians	Golden angle		$b$	$(4-2\mathrm{\Phi })\pi =(3-\sqrt{5})\pi$ = 137.5077640500378546 ...°	(4-2*Phi)*Pi	T	ਫਰਮਾ:OEIS2C	[2;2,1,1,1087,4,4,120,2,1,1,2,1,1,7,7,2,11,...]	1907	2.39996322972865332223155550663361385
1.64218 84352 22121 13687	Lebesgue constant L2		$L2$	$\frac{1}{5}+\frac{\sqrt{25-2\sqrt{5}}}{\pi }=\frac{1}{\pi }\underset{0}{\overset{\pi }{\int }}\frac{|\sin (\frac{5t}{2})|}{\sin (\frac{t}{2})}dt$	1/5 + sqrt(25 - 2*sqrt(5))/Pi	T	ਫਰਮਾ:OEIS2C	[1;1,1,1,3,1,6,1,5,2,2,3,1,2,7,1,3,5,2,2,1,1,...]	1910	1.64218843522212113687362798892294034
1.26408 47353 05301 11307	Vardi constant		$V_c$	$\frac{\sqrt{3}}{\sqrt{2}}\prod _{n\ge 1}{(1+\frac{1}{(2e_n-1{)}^2})}^{1/2^{n+1}}$			ਫਰਮਾ:OEIS2C	[1;3,1,3,1,2,5,54,7,1,2,1,2,3,15,1,2,1,1,2,1,...]	1991	1.26408473530530111307959958416466949
ਫਰਮਾ:Gaps ± ਫਰਮਾ:Gaps	Area of the Mandelbrot fractal		$\gamma$	This is conjectured to be: $\sqrt{6\pi -1}-e=1.506591651\cdots$			ਫਰਮਾ:OEIS2C	[1;1,1,37,2,2,1,10,1,1,2,2,4,1,1,1,1,5,4,...]	1912	1.50659177 +/- 0.00000008
1.61111 49258 08376 736 111···111 27224 36828 183213 ones	Exponential factorial constant		$S_{Ef}$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^{(n-1{)}^{{\cdot }^{{\cdot }^{{\cdot }^{2^1}}}}}}=1+\frac{1}{2^1}+\frac{1}{3^{2^1}}+\frac{1}{4^{3^{2^1}}}+\frac{1}{5^{4^{3^{2^1}}}}+\cdots$		T	ਫਰਮਾ:OEIS2C	[1; 1, 1, 1, 1, 2, 1, 808, 2, 1, 2, 1, 14,...]		1.61111492580837673611111111111111111
1.11786 41511 89944 97314	Goh-Schmutz constant		$C_{GS}$	$\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{\log (s+1)}{e^s-1}ds=-\sum _{n=1}^{\mathrm{\infty }}\frac{e^n}{n}Ei(-n)$ ਫਰਮਾ:Mvar: Exponential।ntegral	Integrate{ log(s+1) /(E^s-1)}		ਫਰਮਾ:OEIS2C	[1;8,2,15,2,7,2,1,1,1,1,2,3,5,3,5,1,1,4,13,1,...]		1.11786415118994497314040996202656544
0.31813 15052 04764 13531 ±1.33723 57014 30689 40 i	Fixed points Super-Logarithmਫਰਮਾ:, Tetration		$-W(-1)$	$\underset{n\to \mathrm{\infty }}{\lim }$$\genfrac{}{}{0ex}{}{f(x)=\underbrace{\log (\log (\log (\log (\cdots \log (\log (x))))))}}{{\log }_s\text{ n times}}$ For an initial value of ਫਰਮਾ:Mvar different to $0,1,e,e^e,e^{e^e}$, etc.	-W(-1) where W=ProductLog Lambert W function	C	ਫਰਮਾ:OEIS2C ਫਰਮਾ:OEIS2C	[-i;1 +2i,1+i,6-i,1+2i,-7+3i,2i,2,1-2i,-1+i,-, ...]		0.31813150520476413531265425158766451 -1.33723570143068940890116214319371 i
0.28016 94990 23869 13303	Bernstein's constant		$\beta$	$\approx \frac{1}{2\sqrt{\pi }}$	1/(2 sqrt(pi))	T	ਫਰਮਾ:OEIS2C	[0;3,1,1,3,9,6,3,1,3,14,34,2,1,1,60,2,2,1,1,...]	1913	0.28016949902386913303643649123067200
0.66016 18158 46869 57392	Twin Primes Constant		$C_2$	$\prod _{p=3}^{\mathrm{\infty }}\frac{p(p-2)}{(p-1{)}^2}$	prod[p=3 to ∞] {p(p-2)/(p-1)^2		ਫਰਮਾ:OEIS2C	[0;1,1,1,16,2,2,2,2,1,18,2,2,11,1,1,2,4,1,...]	1922	0.66016181584686957392781211001455577
1.22674 20107 20353 24441	Fibonacci Factorial constant		$F$	$\prod _{n=1}^{\mathrm{\infty }}(1-{(-\frac{1}{{\phi }^2})}^n)=\prod _{n=1}^{\mathrm{\infty }}(1-{\left(\frac{\sqrt{5}-3}{2}\right)}^n)$	prod[n=1 to ∞] {1-((sqrt(5) -3)/2)^n}		ਫਰਮਾ:OEIS2C	[1;4,2,2,3,2,15,9,1,2,1,2,15,7,6,21,3,5,1,23,...]		1.22674201072035324441763023045536165
0.11494 20448 53296 20070	Kepler–Bouwkamp constant		$\rho$	$\prod _{n=3}^{\mathrm{\infty }}\cos \left(\frac{\pi }{n}\right)=\cos \left(\frac{\pi }{3}\right)\cos \left(\frac{\pi }{4}\right)\cos \left(\frac{\pi }{5}\right)...$	prod[n=3 to ∞] {cos(pi/n)}		ਫਰਮਾ:OEIS2C	[0;8,1,2,2,1,272,2,1,41,6,1,3,1,1,26,4,1,1,...]		0.11494204485329620070104015746959874
1.78723 16501 82965 93301	Komornik–Loreti constant		$q$	$1=\sum _{n=1}^{\mathrm{\infty }}\frac{t_k}{q^k}\text{Raiz real de}\prod _{n=0}^{\mathrm{\infty }}(1-\frac{1}{q^{2^n}})+\frac{q-2}{q-1}=0$ tk = Thue–Morse sequence	FindRoot[(prod[n=0 to ∞] {1-1/(x^2^n)}+(x-2) /(x-1))= 0, {x, 1.7}, WorkingPrecision->30]	T	ਫਰਮਾ:OEIS2C	[1;1,3,1,2,3,188,1,12,1,1,22,33,1,10,1,1,7,...]	1998	1.78723165018296593301327489033700839
3.30277 56377 31994 64655	Bronze ratio		${\sigma }_{Rr}$	$\frac{3+\sqrt{13}}{2}=1+\sqrt{3+\sqrt{3+\sqrt{3+\sqrt{3+\cdots }}}}$	(3+sqrt 13)/2	A	ਫਰਮਾ:OEIS2C	[3;3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,...] = [3;ਫਰਮਾ:Overline,...]		3.30277563773199464655961063373524797
0.82699 33431 32688 07426	Disk Covering		$C_5$	$\frac{1}{\sum _{n=0}^{\mathrm{\infty }}\frac{1}{(\genfrac{}{}{0ex}{}{3n+2}{2})}}=\frac{3\sqrt{3}}{2\pi }$	3 Sqrt[3]/(2 Pi)	T	ਫਰਮਾ:OEIS2C	[0;1,4,1,3,1,1,4,1,2,2,1,1,7,1,4,4,2,1,1,1,1,...]	1939 1949	0.82699334313268807426698974746945416
2.66514 41426 90225 18865	Gelfond–Schneider constant		$G_{GS}$	$2^{\sqrt{2}}$	2^sqrt{2}	T	ਫਰਮਾ:OEIS2C	[2;1,1,1,72,3,4,1,3,2,1,1,1,14,1,2,1,1,3,1,...]	1934	2.66514414269022518865029724987313985
3.27582 29187 21811 15978	Khinchin-Lévy constant		$\gamma$	$e^{{\pi }^2/(12\ln 2)}$	e^(\pi^2/(12 ln(2))		ਫਰਮਾ:OEIS2C	[3;3,1,1,1,2,29,1,130,1,12,3,8,2,4,1,3,55,...]	1936	3.27582291872181115978768188245384386
0.52382 25713 89864 40645	Chi Function Hyperbolic cosine integral		$\mathrm{Chi()}$	$\gamma +\underset{0}{\overset{x}{\int }}\frac{\cosh t-1}{t}dt$ $\gamma \text{= Euler–Mascheroni constant= 0.5772156649...}$	Chi(x)		ਫਰਮਾ:OEIS2C	[0;1,1,9,1,172,1,7,1,11,1,1,2,1,8,1,1,1,1,1,...]		0.52382257138986440645095829438325566
1.13198 82487 943	Viswanath constant		$C_{Vi}$	$\underset{n\to \mathrm{\infty }}{\lim }|a_n{|}^{\frac{1}{n}}$ where an = Fibonacci sequence	lim_(n->∞) |a_n|^(1/n)	T ?	ਫਰਮਾ:OEIS2C	[1;7,1,1,2,1,3,2,1,2,1,8,1,5,1,1,1,9,1,...]	1997	1.1319882487943 ...
1.23370 05501 36169 82735	Favard constant		$\frac{3}{4}\zeta (2)$	$\frac{{\pi }^2}{8}=\sum _{n=0}^{\mathrm{\infty }}\frac{1}{(2n-1{)}^2}=\frac{1}{1^2}+\frac{1}{3^2}+\frac{1}{5^2}+\frac{1}{7^2}+\cdots$	sum[n=1 to ∞] {1/((2n-1)^2)}	T	ਫਰਮਾ:OEIS2C	[1;4,3,1,1,2,2,5,1,1,1,1,2,1,2,1,10,4,3,1,1,...]	1902 a 1965	1.23370055013616982735431137498451889
2.50662 82746 31000 50241	Square root of 2 pi		$\sqrt{2\pi }$	$\sqrt{2\pi }=\underset{n\to \mathrm{\infty }}{\lim }\frac{n!e^n}{n^n\sqrt{n}}....$ Stirling's approximation	sqrt (2 pi)	T	ਫਰਮਾ:OEIS2C	[2;1,1,37,4,1,1,1,1,9,1,1,2,8,6,1,2,2,1,3,...]	1692 a 1770	2.50662827463100050241576528481104525
4.13273 13541 22492 93846	Square root of Tau·e		$\sqrt{\tau e}$	$\sqrt{2\pi e}$	sqrt(2 pi e)		ਫਰਮਾ:OEIS2C	[4;7,1,1,6,1,5,1,1,1,8,3,1,2,2,15,2,1,1,2,4,...]		4.13273135412249293846939188429985264
0.97027 01143 92033 92574	Lochs constant		${\text{£}}_{{}_{Lo}}$	$\frac{6\ln 2\ln 10}{{\pi }^2}$	6*ln(2)*ln(10)/Pi^2		ਫਰਮਾ:OEIS2C	[0;1,32,1,1,1,2,1,46,7,2,7,10,8,1,71,1,37,1,1,...]	1964	0.97027011439203392574025601921001083
0.98770 03907 36053 46013	Area bounded by the eccentric rotation of Reuleaux triangle		${𝒯}_R$	$a^2\cdot (2\sqrt{3}+\frac{\pi }{6}-3)$ where a= side length of the square	2 sqrt(3)+pi/6-3	T	ਫਰਮਾ:OEIS2C	[0;1,80,3,3,2,1,1,1,4,2,2,1,1,1,8,1,2,10,1,2,...]	1914	0.98770039073605346013199991355832854
0.70444 22009 99165 59273	Carefree constant 2		${𝒞}_2$	$\underset{p_n:prime}{\prod _{n=1}^{\mathrm{\infty }}(1-\frac{1}{p_n(p_n+1)})}$	N[prod[n=1 to ∞] {1 - 1/(prime(n)* (prime(n)+1))}]		ਫਰਮਾ:OEIS2C	[0;1,2,2,1,1,1,1,4,2,1,1,3,703,2,1,1,1,3,5,1,...]		0.70444220099916559273660335032663721
1.84775 90650 22573 51225	Connective constant		$\mu$	$\sqrt{2+\sqrt{2}}=\underset{n\to \mathrm{\infty }}{\lim }{c}_n^{1/n}$ as a root of the polynomial $:x^4-4x^2+2=0$	sqrt(2+sqrt(2))	A	ਫਰਮਾ:OEIS2C	[1;1,5,1,1,3,6,1,3,3,10,10,1,1,1,5,2,3,1,1,3,...]		1.84775906502257351225636637879357657
0.30366 30028 98732 65859	Gauss-Kuzmin-Wirsing constant		${\lambda }_2$	$\underset{n\to \mathrm{\infty }}{\lim }\frac{F_n(x)-\ln (1-x)}{(-\lambda {)}^n}=\mathrm{\Psi }(x),$ where $\mathrm{\Psi }(x)$ is an analytic function with $\mathrm{\Psi }(0)=\mathrm{\Psi }(1)=0$.			ਫਰਮਾ:OEIS2C	[0;3,3,2,2,3,13,1,174,1,1,1,2,2,2,1,1,1,2,2,1,...]	1973	0.30366300289873265859744812190155623
1.57079 63267 94896 61923	Favard constant K1 Wallis product		$\frac{\pi }{2}$	$\prod _{n=1}^{\mathrm{\infty }}\left(\frac{4n^2}{4n^2-1}\right)=\frac{2}{1}\cdot \frac{2}{3}\cdot \frac{4}{3}\cdot \frac{4}{5}\cdot \frac{6}{5}\cdot \frac{6}{7}\cdot \frac{8}{7}\cdot \frac{8}{9}\cdots$	Prod[n=1 to ∞] {(4n^2)/(4n^2-1)}	T	ਫਰਮਾ:OEIS2C	[1;1,1,3,31,1,145,1,4,2,8,1,6,1,2,3,1,4,1,5,1...]	1655	1.57079632679489661923132169163975144
1.60669 51524 15291 76378	Erdős–Borwein constant		$E_B$	$\sum _{m=1}^{\mathrm{\infty }}\sum _{n=1}^{\mathrm{\infty }}\frac{1}{2^{mn}}=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{2^n-1}=\frac{1}{1}+\frac{1}{3}+\frac{1}{7}+\frac{1}{15}+...$	sum[n=1 to ∞] {1/(2^n-1)}	I	ਫਰਮਾ:OEIS2C	[1;1,1,1,1,5,2,1,2,29,4,1,2,2,2,2,6,1,7,1,...]	1949	1.60669515241529176378330152319092458
1.61803 39887 49894 84820	Phi, Golden ratio		$\phi$	$\frac{1+\sqrt{5}}{2}=\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\cdots }}}}$	(1+5^(1/2))/2	A	ਫਰਮਾ:OEIS2C	[0;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,...] = [0;ਫਰਮਾ:Overline,...]	-300 ~	1.61803398874989484820458683436563811
1.64493 40668 48226 43647	Riemann Function Zeta(2)		$\zeta (2)$	$\frac{{\pi }^2}{6}=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^2}=\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+\cdots$	Sum[n=1 to ∞] {1/n^2}	T	ਫਰਮਾ:OEIS2C	[1;1,1,1,4,2,4,7,1,4,2,3,4,10 1,2,1,1,1,15,...]	1826 to 1866	1.64493406684822643647241516664602519
1.73205 08075 68877 29352	Theodorus constant		$\sqrt{3}$	$\sqrt[3]{3\sqrt[3]{3\sqrt[3]{3\sqrt[3]{3\sqrt[3]{3\cdots }}}}}$	(3(3(3(3(3(3(3) ^1/3)^1/3)^1/3) ^1/3)^1/3)^1/3) ^1/3 ...	A	ਫਰਮਾ:OEIS2C	[1;1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,...] = [1;ਫਰਮਾ:Overline,...]	-465 to -398	1.73205080756887729352744634150587237
1.75793 27566 18004 53270	Kasner number		$R$	$\sqrt{1+\sqrt{2+\sqrt{3+\sqrt{4+\cdots }}}}$	Fold[Sqrt[#1+#2] &,0,Reverse [Range[20]]]		ਫਰਮਾ:OEIS2C	[1;1,3,7,1,1,1,2,3,1,4,1,1,2,1,2,20,1,2,2,...]	1878 a 1955	1.75793275661800453270881963821813852
2.29558 71493 92638 07403	Universal parabolic constant		$P_2$	$\ln (1+\sqrt{2})+\sqrt{2}=\mathrm{arcsinh}(1)+\sqrt{2}$	ln(1+sqrt 2)+sqrt 2	T	ਫਰਮਾ:OEIS2C	[2;3,2,1,1,1,1,3,3,1,1,4,2,3,2,7,1,6,1,8,7,2,1,...]		2.29558714939263807403429804918949038
1.78657 64593 65922 46345	Silverman constant		${𝒮}_{{}_m}$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{\varphi (n){\sigma }_1(n)}=\underset{p_n:prime}{\prod _{n=1}^{\mathrm{\infty }}(1+\sum _{k=1}^{\mathrm{\infty }}\frac{1}{p_n^{2k}-p_n^{k-1}})}$ ø() = Euler's totient function, σ1() = Divisor function.	Sum[n=1 to ∞] {1/[EulerPhi(n) DivisorSigma(1,n)]}		ਫਰਮਾ:OEIS2C	[1;1,3,1,2,5,1,65,11,2,1,2,13,1,4,1,1,1,2,5,4,...]		1.78657645936592246345859047554131575
2.59807 62113 53315 94029	Area of the regular hexagon with side equal to 1		${𝒜}_6$	$\frac{3\sqrt{3}}{2}$	3 sqrt(3)/2	A	ਫਰਮਾ:OEIS2C	[2;1,1,2,20,2,1,1,4,1,1,2,20,2,1,1,4,1,1,2,20,...] [2;ਫਰਮਾ:Overline]		2.59807621135331594029116951225880855
0.66131 70494 69622 33528	Feller-Tornier constant		${𝒞}_{{}_{FT}}$	$\underset{p_n:prime}{\frac{1}{2}\prod _{n=1}^{\mathrm{\infty }}(1-\frac{2}{p_n^2})+\frac{1}{2}}=\frac{3}{{\pi }^2}\prod _{n=1}^{\mathrm{\infty }}(1-\frac{1}{p_n^2-1})+\frac{1}{2}$	[prod[n=1 to ∞] {1-2/prime(n)^2}] /2 + 1/2	T ?	ਫਰਮਾ:OEIS2C	[0;1,1,1,20,9,1,2,5,1,2,3,2,3,38,8,1,16,2,2,...]	1932	0.66131704946962233528976584627411853
1.46099 84862 06318 35815	Baxter's Four-coloring constant	Mapamundi Four-Coloring	${𝒞}^2$	$\prod _{n=1}^{\mathrm{\infty }}\frac{(3n-1{)}^2}{(3n-2)(3n)}=\frac{3}{4{\pi }^2}\mathrm{\Gamma }{\left(\frac{1}{3}\right)}^3$ Γ() = Gamma function	3×Gamma(1/3) ^3/(4 pi^2)		ਫਰਮਾ:OEIS2C	[1;2,5,1,10,8,1,12,3,1,5,3,5,8,2,1,23,1,2,161,...]	1970	1.46099848620631835815887311784605969
1.92756 19754 82925 30426	Tetranacci constant		$𝒯$	Positive root of $:x^4-x^3-x^2-x-1=0$	Root[x+x^-4-2=0]	A	ਫਰਮਾ:OEIS2C	[1;1,12,1,4,7,1,21,1,2,1,4,6,1,10,1,2,2,1,7,1,...]		1.92756197548292530426190586173662216
1.00743 47568 84279 37609	DeVicci's tesseract constant		$f_{(3,4)}$	The largest cube that can pass through in an 4D hypercube. Positive root of $:4x^4-28x^3-7x^2+16x+16=0$	Root[4*x^8-28*x^6 -7*x^4+16*x^2+16 =0]	A	ਫਰਮਾ:OEIS2C	[1;134,1,1,73,3,1,5,2,1,6,3,11,4,1,5,5,1,1,48,...]		1.00743475688427937609825359523109914
1.70521 11401 05367 76428	Niven's constant		$C$	$1+\sum _{n=2}^{\mathrm{\infty }}(1-\frac{1}{\zeta (n)})$	1+ Sum[n=2 to ∞] {1-(1/Zeta(n))}		ਫਰਮਾ:OEIS2C	[1;1,2,2,1,1,4,1,1,3,4,4,8,4,1,1,2,1,1,11,1,...]	1969	1.70521114010536776428855145343450816
0.60459 97880 78072 61686	Relationship among the area of an equilateral triangle and the inscribed circle.		$\frac{\pi }{3\sqrt{3}}$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n(\genfrac{}{}{0ex}{}{2n}{n})}=1-\frac{1}{2}+\frac{1}{4}-\frac{1}{5}+\frac{1}{7}-\frac{1}{8}+\cdots$ Dirichlet series	Sum[1/(n Binomial[2 n, n]) , {n, 1, ∞}]	T	ਫਰਮਾ:OEIS2C	[0;1,1,1,1,8,10,2,2,3,3,1,9,2,5,4,1,27,27,6,6,...]		0.60459978807807261686469275254738524
1.15470 05383 79251 52901	Hermite constant		${\gamma }_{{}_2}$	$\frac{2}{\sqrt{3}}=\frac{1}{\cos (\frac{\pi }{6})}$	2/sqrt(3)	A	1+ ਫਰਮਾ:OEIS2C	[1;6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,...] [1;ਫਰਮਾ:Overline]		1.15470053837925152901829756100391491
0.41245 40336 40107 59778	Prouhet–Thue–Morse constant		$\tau$	$\sum _{n=0}^{\mathrm{\infty }}\frac{t_n}{2^{n+1}}$ where $t_n$ is the Thue–Morse sequence and Where $\tau (x)=\sum _{n=0}^{\mathrm{\infty }}(-1{)}^{t_n}{x}^n=\prod _{n=0}^{\mathrm{\infty }}(1-x^{2^n})$		T	ਫਰਮਾ:OEIS2C	[0;2,2,2,1,4,3,5,2,1,4,2,1,5,44,1,4,1,2,4,1,1,...]		0.41245403364010759778336136825845528
0.58057 75582 04892 40229	Pell constant		${𝒫}_{{}_{Pell}}$	$1-\prod _{n=0}^{\mathrm{\infty }}(1-\frac{1}{2^{2n+1}})$	N[1-prod[n=0 to ∞] {1-1/(2^(2n+1)}]	T ?	ਫਰਮਾ:OEIS2C	[0;1,1,2,1,1,1,1,14,1,3,1,1,6,9,18,7,1,27,1,1,...]		0.58057755820489240229004389229702574
0.66274 34193 49181 58097	Laplace limit		$\lambda$	$\frac{x{e}^{\sqrt{x^2+1}}}{\sqrt{x^2+1}+1}=1$	(x e^sqrt(x^2+1)) /(sqrt(x^2+1)+1) = 1		ਫਰਮਾ:OEIS2C	[0;1,1,1,27,1,1,1,8,2,154,2,4,1,5,1,1,2,1601,...]	1782 ~	0.66274341934918158097474209710925290
0.17150 04931 41536 06586	Hall-Montgomery Constant		${\delta }_{{}_0}$	$1+\frac{{\pi }^2}{6}+2{\mathrm{L}\mathrm{i}}_2(-\sqrt{e}){\mathrm{L}\mathrm{i}}_2\text{= Dilogarithm integral}$	1 + Pi^2/6 + 2*PolyLog[2, -Sqrt[E]]		ਫਰਮਾ:OEIS2C	[0;5,1,4,1,10,1,1,11,18,1,2,19,14,1,51,1,2,1,...]		0.17150049314153606586043997155521210
1.55138 75245 48320 39226	Calabi triangle constant		$C_{{}_{CR}}$	$\frac{1}{3}+\frac{(-23+3i\sqrt{237}{)}^{\frac{1}{3}}}{3\cdot 2^{\frac{2}{3}}}+\frac{11}{3(2(-23+3i\sqrt{237}){)}^{\frac{1}{3}}}$	FindRoot[ 2x^3-2x^2-3x+2 ==0, {x, 1.5}, WorkingPrecision->40]	A	ਫਰਮਾ:OEIS2C	[1;1,1,4,2,1,2,1,5,2,1,3,1,1,390,1,1,2,11,6,2,...]	1946 ~	1.55138752454832039226195251026462381
1.22541 67024 65177 64512	Gamma(3/4)		$\mathrm{\Gamma }(\frac{3}{4})$	$(-1+\frac{3}{4})!=(-\frac{1}{4})!$	(-1+3/4)!		ਫਰਮਾ:OEIS2C	[1;4,2,3,2,2,1,1,1,2,1,4,7,1,171,3,2,3,1,1,8,3,...]		1.22541670246517764512909830336289053
1.20205 69031 59594 28539	Apéry's constant		$\zeta (3)$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^3}=\frac{1}{1^3}+\frac{1}{2^3}+\frac{1}{3^3}+\frac{1}{4^3}+\frac{1}{5^3}+\cdots =$ $\frac{1}{2}\sum _{n=1}^{\mathrm{\infty }}\frac{H_n}{n^2}=\frac{1}{2}\sum _{i=1}^{\mathrm{\infty }}\sum _{j=1}^{\mathrm{\infty }}\frac{1}{ij(i+j)}=\underset{0}{\overset{1}{\int }}\underset{0}{\overset{1}{\int }}\underset{0}{\overset{1}{\int }}\frac{\mathrm{d}x\mathrm{d}y\mathrm{d}z}{1-xyz}$	Sum[n=1 to ∞] {1/n^3}	I	ਫਰਮਾ:OEIS2C	[1;4,1,18,1,1,1,4,1,9,9,2,1,1,1,2,7,1,1,7,11,...]	1979	1.20205690315959428539973816151144999
0.91596 55941 77219 01505	Catalan's constant		$C$	$\underset{0}{\overset{1}{\int }}\underset{0}{\overset{1}{\int }}\frac{1}{1+x^2{y}^2}dxdy=\sum _{n=0}^{\mathrm{\infty }}\frac{(-1{)}^n}{(2n+1{)}^2}=\frac{1}{1^2}-\frac{1}{3^2}+\cdots$	Sum[n=0 to ∞] {(-1)^n/(2n+1)^2}	T	ਫਰਮਾ:OEIS2C	[0;1,10,1,8,1,88,4,1,1,7,22,1,2,3,26,1,11,...]	1864	0.91596559417721901505460351493238411
0.78539 81633 97448 30961	Beta(1)		$\beta (1)$	$\frac{\pi }{4}=\sum _{n=0}^{\mathrm{\infty }}\frac{(-1{)}^n}{2n+1}=\frac{1}{1}-\frac{1}{3}+\frac{1}{5}-\frac{1}{7}+\frac{1}{9}-\cdots$	Sum[n=0 to ∞] {(-1)^n/(2n+1)}	T	ਫਰਮਾ:OEIS2C	[0; 1,3,1,1,1,15,2,72,1,9,1,17,1,2,1,5,1,1,10,...]	1805 to 1859	0.78539816339744830961566084581987572
0.00131 76411 54853 17810	Heath-Brown–Moroz constant		$C_{{}_{HBM}}$	$\underset{p_n:prime}{\prod _{n=1}^{\mathrm{\infty }}{(1-\frac{1}{p_n})}^7(1+\frac{7p_n+1}{p_n^2})}$	N[prod[n=1 to ∞] {((1-1/prime(n))^7) *(1+(7*prime(n)+1) /(prime(n)^2))}]	T ?	ਫਰਮਾ:OEIS2C	[0;758,1,13,1,2,3,56,8,1,1,1,1,1,143,1,1,1,2,...]		0.00131764115485317810981735232251358
0.56755 51633 06957 82538	Module of ।nfinite Tetration of i		$|{}^{\mathrm{\infty }}i|$	$\underset{n\to \mathrm{\infty }}{\lim }\left|{}^{n}i\right|=\left|\underset{n\to \mathrm{\infty }}{\lim }\underset{n}{\underbrace{i^{i^{{\cdot }^{{\cdot }^i}}}}}\right|$	Mod(i^i^i^...)		ਫਰਮਾ:OEIS2C	[0;1,1,3,4,1,58,12,1,51,1,4,12,1,1,2,2,3,...]		0.56755516330695782538461314419245334
0.78343 05107 12134 40705	Sophomore's dream1 J.Bernoulli		$I_1$	$\underset{0}{\overset{1}{\int }}{x}^{x}dx=\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{n+1}}{n^n}=\frac{1}{1^1}-\frac{1}{2^2}+\frac{1}{3^3}-\cdots$	Sum[n=1 to ∞] {-(-1)^n /n^n}		ਫਰਮਾ:OEIS2C	[0;1,3,1,1,1,1,1,1,2,4,7,2,1,2,1,1,1,2,1,14,...]	1697	0.78343051071213440705926438652697546
1.29128 59970 62663 54040	Sophomore's dream2 J.Bernoulli		$I_2$	$\underset{0}{\overset{1}{\int }}\frac{1}{x^x}dx=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^n}=\frac{1}{1^1}+\frac{1}{2^2}+\frac{1}{3^3}+\frac{1}{4^4}+\cdots$	Sum[n=1 to ∞] {1/(n^n)}		ਫਰਮਾ:OEIS2C	[1;3,2,3,4,3,1,2,1,1,6,7,2,5,3,1,2,1,8,1,2,4,...]	1697	1.29128599706266354040728259059560054
0.70523 01717 91800 96514	Primorial constant Sum of the product of inverse of primes		$P_{\mathrm{\#}}$	$\underset{p_n:prime}{\sum _{n=1}^{\mathrm{\infty }}\frac{1}{p_n\mathrm{\#}}=\frac{1}{2}+\frac{1}{6}+\frac{1}{30}+\frac{1}{210}+...=\sum _{k=1}^{\mathrm{\infty }}\prod _{n=1}^k\frac{1}{p_n}}$	Sum[k=1 to ∞] (prod[n=1 to k] {1/prime(n)})	I	ਫਰਮਾ:OEIS2C	[0;1,2,2,1,1,4,1,2,1,1,6,13,1,4,1,16,6,1,1,4,...]		0.70523017179180096514743168288824851
0.14758 36176 50433 27417	Plouffe's gamma constant		$C$	$\frac{1}{\pi }\arctan \frac{1}{2}=\frac{1}{\pi }\sum _{n=0}^{\mathrm{\infty }}\frac{(-1{)}^n}{(2^{2n+1})(2n+1)}$ $=\frac{1}{\pi }(\frac{1}{2}-\frac{1}{3\cdot 2^3}+\frac{1}{5\cdot 2^5}-\frac{1}{7\cdot 2^7}+\cdots )$	Arctan(1/2)/pi	T	ਫਰਮਾ:OEIS2C	[0;6,1,3,2,5,1,6,5,3,1,1,2,1,1,2,3,1,2,3,2,2,...]		0.14758361765043327417540107622474052
0.15915 49430 91895 33576	Plouffe's A constant		$A$	$\frac{1}{2\pi }$	1/(2 pi)	T	ਫਰਮਾ:OEIS2C	[0;6,3,1,1,7,2,146,3,6,1,1,2,7,5,5,1,4,1,2,42,...]		0.15915494309189533576888376337251436
0.29156 09040 30818 78013	Dimer constant 2D, Domino tiling		$\frac{C}{\pi }$ C=Catalan	$\underset{-\pi }{\overset{\pi }{\int }}\frac{{\cosh }^{-1}\left(\frac{\sqrt{\cos (t)+3}}{\sqrt{2}}\right)}{4\pi }dt$	N[int[-pi to pi] {arccosh(sqrt( cos(t)+3)/sqrt(2)) /(4*Pi)dt}]		ਫਰਮਾ:OEIS2C	[0;3,2,3,16,8,10,3,1,1,2,1,3,1,2,13,1,1,4,1,5,...]		0.29156090403081878013838445646839491
0.49801 56681 18356 04271 0.15494 98283 01810 68512 i	Factorial(i)		$i!$	$\mathrm{\Gamma }(1+i)=i\mathrm{\Gamma }(i)=\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{t^i}{e^t}\mathrm{d}t$	Integral_0^∞ t^i/e^t dt	C	ਫਰਮਾ:OEIS2C ਫਰਮਾ:OEIS2C	[0;6,2,4,1,8,1,46,2,2,3,5,1,10,7,5,1,7,2,...] - [0;2,125,2,18,1,2,1,1,19,1,1,1,2,3,34,...] i		0.49801566811835604271369111746219809 - 0.15494982830181068512495513048388 i
2.09455 14815 42326 59148	Wallis Constant		$W$	$\sqrt[3]{\frac{45-\sqrt{1929}}{18}}+\sqrt[3]{\frac{45+\sqrt{1929}}{18}}$	(((45-sqrt(1929)) /18))^(1/3)+ (((45+sqrt(1929)) /18))^(1/3)	A	ਫਰਮਾ:OEIS2C	[2;10,1,1,2,1,3,1,1,12,3,5,1,1,2,1,6,1,11,4,...]	1616 to 1703	2.09455148154232659148238654057930296
0.72364 84022 98200 00940	Sarnak constant		$C_{sa}$	$\prod _{p>2}(1-\frac{p+2}{p^3})$	N[prod[k=2 to ∞] {1-(prime(k)+2) /(prime(k)^3)}]	T ?	ਫਰਮਾ:OEIS2C	[0;1,2,1,1,1,1,1,1,1,4,4,1,1,1,1,1,1,1,8,2,1,1,...]		0.72364840229820000940884914980912759
0.63212 05588 28557 67840	Time constant		$\tau$	$\underset{n\to \mathrm{\infty }}{\lim }1-\frac{!n}{n!}=\underset{n\to \mathrm{\infty }}{\lim }P(n)=\underset{0}{\overset{1}{\int }}{e}^{-x}dx=1-\frac{1}{e}=$ $\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{n+1}}{n!}=\frac{1}{1!}-\frac{1}{2!}+\frac{1}{3!}-\frac{1}{4!}+\frac{1}{5!}-\frac{1}{6!}+\cdots$	lim_(n->∞) (1- !n/n!) !n=subfactorial	T	ਫਰਮਾ:OEIS2C	[0;1,1,1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,1,...] = [0;1,ਫਰਮਾ:Overline], n∈ℕ		0.63212055882855767840447622983853913
1.04633 50667 70503 18098	Minkowski-Siegel mass constant		$F_1$	$\prod _{n=1}^{\mathrm{\infty }}\frac{n!}{\sqrt{2\pi n}{\left(\frac{n}{e}\right)}^n\sqrt[12]{1+\frac{1}{n}}}$	N[prod[n=1 to ∞] n! /(sqrt(2*Pi*n) *(n/e)^n *(1+1/n) ^(1/12))]		ਫਰਮਾ:OEIS2C	[1;21,1,1,2,1,1,4,2,1,5,7,2,1,20,1,1,1134,3,..]	1867 1885 1935	1.04633506677050318098095065697776037
5.24411 51085 84239 62092	Lemniscate Constant		$2\varpi$	$\frac{[\mathrm{\Gamma }(\frac{1}{4}){]}^2}{\sqrt{2\pi }}=4\underset{0}{\overset{1}{\int }}\frac{dx}{\sqrt{(1-x^2)(2-x^2)}}$	Gamma[ 1/4 ]^2 /Sqrt[ 2 Pi ]		ਫਰਮਾ:OEIS2C	[5;4,10,2,1,2,3,29,4,1,2,1,2,1,2,1,4,9,1,4,1,2,...]	1718	5.24411510858423962092967917978223883
0.66170 71822 67176 23515	Robbins constant		$\mathrm{\Delta }(3)$	$\frac{4+17\sqrt{2}-6\sqrt{3}-7\pi }{105}+\frac{\ln (1+\sqrt{2})}{5}+\frac{2\ln (2+\sqrt{3})}{5}$	(4+17*2^(1/2)-6 *3^(1/2)+21*ln(1+ 2^(1/2))+42*ln(2+ 3^(1/2))-7*Pi)/105		ਫਰਮਾ:OEIS2C	[0;1,1,1,21,1,2,1,4,10,1,2,2,1,3,11,1,331,1,4,...]	1978	0.66170718226717623515583113324841358
1.30357 72690 34296 39125	Conway constant		$\lambda$	$\begin{array}{c}{x}^{71}-x^{69}-2x^{68}-x^{67}+2x^{66}+2x^{65}+x^{64}-x^{63}-x^{62}-x^{61}-x^{60}\\ -x^{59}+2x^{58}+5x^{57}+3x^{56}-2x^{55}-10x^{54}-3x^{53}-2x^{52}+6x^{51}+6x^{50}\\ +x^{49}+9x^{48}-3x^{47}-7x^{46}-8x^{45}-8x^{44}+10x^{43}+6x^{42}+8x^{41}-5x^{40}\\ -12x^{39}+7x^{38}-7x^{37}+7x^{36}+x^{35}-3x^{34}+10x^{33}+x^{32}-6x^{31}-2x^{30}\\ -10x^{29}-3x^{28}+2x^{27}+9x^{26}-3x^{25}+14x^{24}-8x^{23}-7x^{21}+9x^{20}\\ +3x^{19}-4x^{18}-10x^{17}-7x^{16}+12x^{15}+7x^{14}+2x^{13}-12x^{12}-4x^{11}-2x^{10}\\ +5x^9+x^7-7x^6+7x^5-4x^4+12x^3-6x^2+3x-6=0\end{array}$		A	ਫਰਮਾ:OEIS2C	[1;3,3,2,2,54,5,2,1,16,1,30,1,1,1,2,2,1,14,1,...]	1987	1.30357726903429639125709911215255189
1.18656 91104 15625 45282	Khinchin–Lévy constant		$\beta$	$\frac{{\pi }^2}{12\ln 2}$	pi^2 /(12 ln 2)		ਫਰਮਾ:OEIS2C	[1;5,2,1,3,1,1,28,18,16,3,2,6,2,6,1,1,5,5,9,...]	1935	1.18656911041562545282172297594723712
0.83564 88482 64721 05333	Baker constant		${\beta }_3$	$\underset{0}{\overset{1}{\int }}\frac{\mathrm{d}t}{1+t^3}=\sum _{n=0}^{\mathrm{\infty }}\frac{(-1{)}^n}{3n+1}=\frac{1}{3}(\ln 2+\frac{\pi }{\sqrt{3}})$	Sum[n=0 to ∞] {((-1)^(n))/(3n+1)}		ਫਰਮਾ:OEIS2C	[0;1,5,11,1,4,1,6,1,4,1,1,1,2,1,3,2,2,2,2,1,3,...]		0.83564884826472105333710345970011076
23.10344 79094 20541 6160	Kempner Serie(0)		$K_0$	$1+\frac{1}{2}+\frac{1}{3}+\cdots +\frac{1}{9}+\frac{1}{11}+\cdots +\frac{1}{19}+\frac{1}{21}+\cdots$ $+\frac{1}{99}+\frac{1}{111}+\cdots +\frac{1}{119}+\frac{1}{121}+\cdots$ (Excluding all denominators containing 0.)	1+1/2+1/3+1/4+1/5 +1/6+1/7+1/8+1/9 +1/11+1/12+1/13 +1/14+1/15+...		ਫਰਮਾ:OEIS2C	[23;9,1,2,3244,1,1,5,1,2,2,8,3,1,1,6,1,84,1,...]		23.1034479094205416160340540433255981
0.98943 12738 31146 95174	Lebesgue constant		$C_1$	$\underset{n\to \mathrm{\infty }}{\lim }\left(L_n-\frac{4}{{\pi }^2}\ln (2n+1)\right)=\frac{4}{{\pi }^2}(\sum _{k=1}^{\mathrm{\infty }}\frac{2\ln k}{4k^2-1}-\frac{{\mathrm{\Gamma }}^{\prime }(\frac{1}{2})}{\mathrm{\Gamma }(\frac{1}{2})})$	4/pi^2*[(2 Sum[k=1 to ∞] {ln(k)/(4*k^2-1)}) -poligamma(1/2)]		ਫਰਮਾ:OEIS2C	[0;1,93,1,1,1,1,1,1,1,7,1,12,2,15,1,2,7,2,1,5,...]	?	0.98943127383114695174164880901886671
0.19452 80494 65325 11361	2nd du Bois-Reymond constant		$C_2$	$\frac{e^2-7}{2}=\underset{0}{\overset{\mathrm{\infty }}{\int }}\left|\frac{d}{dt}{\left(\frac{\sin t}{t}\right)}^n\right|dt-1$	(e^2-7)/2	T	ਫਰਮਾ:OEIS2C	[0;5,7,9,11,13,15,17,19,21,23,25,27,29,31,...] = [0;ਫਰਮਾ:Overline], p∈ℕ		0.19452804946532511361521373028750390
0.78853 05659 11508 96106	Lüroth constant		$C_L$	$\sum _{n=2}^{\mathrm{\infty }}\frac{\ln \left(\frac{n}{n-1}\right)}{n}$	Sum[n=2 to ∞] log(n/(n-1))/n		ਫਰਮਾ:OEIS2C	[0;1,3,1,2,1,2,4,1,127,1,2,2,1,3,8,1,1,2,1,16,...]		0.78853056591150896106027632216944432
1.18745 23511 26501 05459	Foias constant α		$F_{\alpha }$	$x_{n+1}={(1+\frac{1}{x_n})}^n\text{ for }n=1,2,3,\dots$ Foias constant is the unique real number such that if x1 = α then the sequence diverges to ∞. When x1 = α, $\underset{n\to \mathrm{\infty }}{\lim }{x}_n\frac{\log n}{n}=1$			ਫਰਮਾ:OEIS2C	[1;5,2,1,81,3,2,2,1,1,1,1,1,6,1,1,3,1,1,4,3,2,...]	2000	1.18745235112650105459548015839651935
2.29316 62874 11861 03150	Foias constant β		$F_{\beta }$	$x^{x+1}=(x+1{)}^x$	x^(x+1) = (x+1)^x		ਫਰਮਾ:OEIS2C	[2;3,2,2,3,4,2,3,2,130,1,1,1,1,1,6,3,2,1,15,1,...]	2000	2.29316628741186103150802829125080586
0.82246 70334 24113 21823	Nielsen-Ramanujan constant		$\frac{\zeta (2)}{2}$	$\frac{{\pi }^2}{12}=\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{n+1}}{n^2}=\frac{1}{1^2}-\frac{1}{2^2}+\frac{1}{3^2}-\frac{1}{4^2}+\frac{1}{5^2}-\cdots$	Sum[n=1 to ∞] {((-1)^(n+1))/n^2}	T	ਫਰਮਾ:OEIS2C	[0;1,4,1,1,1,2,1,1,1,1,3,2,2,4,1,1,1,1,1,1,4...]	1909	0.82246703342411321823620758332301259
0.69314 71805 59945 30941	Natural logarithm of 2		$Ln(2)$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n{2}^n}=\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{n+1}}{n}=\frac{1}{1}-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots$	Sum[n=1 to ∞] {(-1)^(n+1)/n}	T	ਫਰਮਾ:OEIS2C	[0;1,2,3,1,6,3,1,1,2,1,1,1,1,3,10,1,1,1,2,1,1,...]	1550 to 1617	0.69314718055994530941723212145817657
0.47494 93799 87920 65033	Weierstrass constant		$\sigma (\frac{1}{2})$	$\frac{e^{\frac{\pi }{8}}\sqrt{\pi }}{4\cdot 2^{3/4}(\frac{1}{4}!{)}^2}$	(E^(Pi/8) Sqrt[Pi]) /(4 2^(3/4) (1/4)!^2)		ਫਰਮਾ:OEIS2C	[0;2,9,2,11,1,6,1,4,6,3,19,9,217,1,2,4,8,6...]	1872 ?	0.47494937998792065033250463632798297
0.57721 56649 01532 86060	Euler–Mascheroni constant		$\gamma$	$\sum _{n=1}^{\mathrm{\infty }}\sum _{k=0}^{\mathrm{\infty }}\frac{(-1{)}^k}{2^n+k}=\sum _{n=1}^{\mathrm{\infty }}(\frac{1}{n}-\ln (1+\frac{1}{n}))$ $=\underset{0}{\overset{1}{\int }}-\ln (\ln \frac{1}{x})dx=-{\mathrm{\Gamma }}^{\prime }(1)=-\mathrm{\Psi }(1)$	sum[n=1 to ∞] |sum[k=0 to ∞] {((-1)^k)/(2^n+k)}		ਫਰਮਾ:OEIS2C	[0;1,1,2,1,2,1,4,3,13,5,1,1,8,1,2,4,1,1,40,1,...]	1735	0.57721566490153286060651209008240243
1.38135 64445 18497 79337	Beta, Kneser-Mahler polynomial constant		$\beta$	$e^{{}^{\frac{2}{\pi }\underset{0}{\overset{\frac{\pi }{3}}{\int }}t\tan tdt}}=e^{{}^{\underset{\frac{-1}{3}}{\overset{\frac{1}{3}}{\int }}\ln \lfloor 1+e^{2\pi it}\rfloor dt}}$	e^((PolyGamma(1,4/3) - PolyGamma(1,2/3) +9)/(4*sqrt(3)*Pi))		ਫਰਮਾ:OEIS2C	[1;2,1,1,1,1,1,4,1,139,2,1,3,5,16,2,1,1,7,2,1,...]	1963	1.38135644451849779337146695685062412
1.35845 62741 82988 43520	Golden Spiral		$c$	${\phi }^{\frac{2}{\pi }}={\left(\frac{1+\sqrt{5}}{2}\right)}^{\frac{2}{\pi }}$	GoldenRatio^(2/pi)		ਫਰਮਾ:OEIS2C	[1;2,1,3,1,3,10,8,1,1,8,1,15,6,1,3,1,1,2,3,1,1,...]		1.35845627418298843520618060050187945
0.57595 99688 92945 43964	Stephens constant		$C_S$	$\prod _{n=1}^{\mathrm{\infty }}(1-\frac{p}{p^3-1})$	Prod[n=1 to ∞] {1-hprime(n) /(hprime(n)^3-1)}	T ?	ਫਰਮਾ:OEIS2C	[0;1,1,2,1,3,1,3,1,2,1,77,2,1,1,10,2,1,1,1,7,...]	?	0.57595996889294543964316337549249669
0.73908 51332 15160 64165	Dottie number		$d$	$\underset{x\to \mathrm{\infty }}{\lim }{\cos }^{[x]}(c)=\underset{x\to \mathrm{\infty }}{\lim }\underset{x}{\underbrace{\cos (\cos (\cos (\cdots (\cos (c)))))}}$	cos(c)=c	T	ਫਰਮਾ:OEIS2C	[0;1,2,1,4,1,40,1,9,4,2,1,15,2,12,1,21,1,17,...]	?	0.73908513321516064165531208767387340
0.67823 44919 17391 97803	Taniguchi constant		$C_T$	$\prod _{n=1}^{\mathrm{\infty }}(1-\frac{3}{{p_n}^3}+\frac{2}{{p_n}^4}+\frac{1}{{p_n}^5}-\frac{1}{{p_n}^6})$ $p_n=\text{prime}$	Prod[n=1 to ∞] {1 -3/ithprime(n)^3 +2/ithprime(n)^4 +1/ithprime(n)^5 -1/ithprime(n)^6}	T ?	ਫਰਮਾ:OEIS2C	[0;1,2,9,3,1,2,9,11,1,13,2,15,1,1,1,2,4,1,1,1,...]	?	0.67823449191739197803553827948289481
1.85407 46773 01371 91843	Gauss' Lemniscate constant		$L\text{/}\sqrt{2}$	$\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{\mathrm{d}x}{\sqrt{1+x^4}}=\frac{1}{4\sqrt{\pi }}\mathrm{\Gamma }{\left(\frac{1}{4}\right)}^2=\frac{4{(\frac{1}{4}!)}^2}{\sqrt{\pi }}$ $\mathrm{\Gamma }()\text{= Gamma function}$	pi^(3/2)/(2 Gamma(3/4)^2)		ਫਰਮਾ:OEIS2C	[1;1,5,1,5,1,3,1,6,2,1,4,16,3,112,2,1,1,18,1,...]		1.85407467730137191843385034719526005
1.75874 36279 51184 82469	Infinite product constant, with Alladi-Grinstead		$P{r}_1$	$\prod _{n=2}^{\mathrm{\infty }}(1+\frac{1}{n}{)}^{\frac{1}{n}}$	Prod[n=2 to inf] {(1+1/n)^(1/n)}		ਫਰਮਾ:OEIS2C	[1;1,3,6,1,8,1,4,3,1,4,1,1,1,6,5,2,40,1,387,2,...]	1977	1.75874362795118482469989684865589317
1.86002 50792 21190 30718	Spiral of Theodorus		$\partial$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{\sqrt{n^3}+\sqrt{n}}=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{\sqrt{n}(n+1)}$	Sum[n=1 to ∞] {1/(n^(3/2) +n^(1/2))}		ਫਰਮਾ:OEIS2C	[1;1,6,6,1,15,11,5,1,1,1,1,5,3,3,3,2,1,1,2,19,...]	-460 to -399	1.86002507922119030718069591571714332
2.79128 78474 77920 00329	Nested radical S5		$S_5$	$\frac{\sqrt{21}+1}{2}=\sqrt{5+\sqrt{5+\sqrt{5+\sqrt{5+\sqrt{5+\cdots }}}}}$ $=1+\sqrt{5-\sqrt{5-\sqrt{5-\sqrt{5-\sqrt{5-\cdots }}}}}$	(sqrt(21)+1)/2	A	A222134	[2;1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,...] [2;ਫਰਮਾ:Overline]	?	2.79128784747792000329402359686400424
0.70710 67811 86547 52440 +0.70710 67811 86547 524 i	Square root of i		$\sqrt{i}$	$\sqrt[4]{-1}=\frac{1+i}{\sqrt{2}}=e^{\frac{i\pi }{4}}=\cos \left(\frac{\pi }{4}\right)+i\sin \left(\frac{\pi }{4}\right)$	(1+i)/(sqrt 2)	C A	ਫਰਮਾ:OEIS2C	[0;1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,..] = [0;1,ਫਰਮਾ:Overline,...] [0;1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,..] i = [0;1,ਫਰਮਾ:Overline,...] i	?	0.70710678118654752440084436210484903 + 0.70710678118654752440084436210484 i
0.80939 40205 40639 13071	Alladi–Grinstead constant		${𝒜}_{AG}$	$e^{-1+\sum _{k=2}^{\mathrm{\infty }}\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n{k}^{n+1}}}=e^{-1-\sum _{k=2}^{\mathrm{\infty }}\frac{1}{k}\ln (1-\frac{1}{k})}$	e^{(sum[k=2 to ∞] |sum[n=1 to ∞] {1/(n k^(n+1))})-1}		ਫਰਮਾ:OEIS2C	[0;1,4,4,17,4,3,2,5,3,1,1,1,1,6,1,1,2,1,22,...]	1977	0.80939402054063913071793188059409131
2.58498 17595 79253 21706	Sierpiński's constant		$K$	$\pi (2\gamma +\ln \frac{4{\pi }^3}{\mathrm{\Gamma }(\frac{1}{4}{)}^4})=\pi (2\gamma +4\ln \mathrm{\Gamma }(\frac{3}{4})-\ln \pi )$ $=\pi (2\ln 2+3\ln \pi +2\gamma -4\ln \mathrm{\Gamma }(\frac{1}{4}))$	-Pi Log[Pi]+2 Pi EulerGamma +4 Pi Log [Gamma[3/4]]		ਫਰਮਾ:OEIS2C	[2;1,1,2,2,3,1,3,1,9,2,8,4,1,13,3,1,15,18,1,...]	1907	2.58498175957925321706589358738317116
1.73245 47146 00633 47358	Reciprocal of the Euler–Mascheroni constant		$\frac{1}{\gamma }$	${(\underset{0}{\overset{1}{\int }}-\log (\log \frac{1}{x})dx)}^{-1}=\sum _{n=1}^{\mathrm{\infty }}(-1{)}^n(-1+\gamma {)}^n$	1/Integrate_ {x=0 to 1} -log(log(1/x))		ਫਰਮਾ:OEIS2C	[1;1,2,1,2,1,4,3,13,5,1,1,8,1,2,4,1,1,40,1,11,...]		1.73245471460063347358302531586082968
1.43599 11241 76917 43235	Lebesgue constant (interpolation)		$L_1$	$\prod _{\begin{array}{c}i=0\\ j\ne i\end{array}}^n\frac{x-x_i}{x_j-x_i}=\frac{1}{\pi }\underset{0}{\overset{\pi }{\int }}\frac{\lfloor \sin \frac{3t}{2}\rfloor }{\sin \frac{t}{2}}dt=\frac{1}{3}+\frac{2\sqrt{3}}{\pi }$	1/3 + 2*sqrt(3)/pi	T	ਫਰਮਾ:OEIS2C	[1;2,3,2,2,6,1,1,1,1,4,1,7,1,1,1,2,1,3,1,2,1,1,...]	1902 ~	1.43599112417691743235598632995927221
3.24697 96037 17467 06105	Silver root Tutte–Beraha constant		$\varsigma$	$2+2\cos \frac{2\pi }{7}=2+\frac{2+\sqrt[3]{7+7\sqrt[3]{7+7\sqrt[3]{7+\cdots }}}}{1+\sqrt[3]{7+7\sqrt[3]{7+7\sqrt[3]{7+\cdots }}}}$	2+2 cos(2Pi/7)	A	ਫਰਮਾ:OEIS2C	[3;4,20,2,3,1,6,10,5,2,2,1,2,2,1,18,1,1,3,2,...]		3.24697960371746706105000976800847962
1.94359 64368 20759 20505	Euler Totient constant		$ET$	$\underset{p\text{= primes}}{\prod _p(1+\frac{1}{p(p-1)})}=\frac{\zeta (2)\zeta (3)}{\zeta (6)}=\frac{315\zeta (3)}{2{\pi }^4}$	zeta(2)*zeta(3) /zeta(6)		ਫਰਮਾ:OEIS2C	[1;1,16,1,2,1,2,3,1,1,3,2,1,8,1,1,1,1,1,1,1,32,...]	1750	1.94359643682075920505707036257476343
1.49534 87812 21220 54191	Fourth root of five		$\sqrt[4]{5}$	$\sqrt[5]{5\sqrt[5]{5\sqrt[5]{5\sqrt[5]{5\sqrt[5]{5\cdots }}}}}$	(5(5(5(5(5(5(5) ^1/5)^1/5)^1/5) ^1/5)^1/5)^1/5) ^1/5 ...	A	ਫਰਮਾ:OEIS2C	[1;2,53,4,96,2,1,6,2,2,2,6,1,4,1,49,17,2,3,2,...]		1.49534878122122054191189899414091339
0.87228 40410 65627 97617	Area of Ford circle		$A_{CF}$	$\sum _{q\ge 1}\sum _{\genfrac{}{}{0ex}{}{(p,q)=1}{1\le p<q}}\pi {\left(\frac{1}{2q^2}\right)}^2\underset{\zeta ()\text{= Riemann Zeta Function}}{=\frac{\pi }{4}\frac{\zeta (3)}{\zeta (4)}=\frac{45}{2}\frac{\zeta (3)}{{\pi }^3}}$	pi Zeta(3) /(4 Zeta(4))			[0;1,6,1,4,1,7,5,36,3,29,1,1,10,3,2,8,1,1,1,3,...]		0.87228404106562797617519753217122587
1.08232 32337 11138 19151	Zeta(4)		$\zeta (4)$	$\frac{{\pi }^4}{90}=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^4}=\frac{1}{1^4}+\frac{1}{2^4}+\frac{1}{3^4}+\frac{1}{4^4}+\frac{1}{5^4}+...$	Sum[n=1 to ∞] {1/n^4}	T	ਫਰਮਾ:OEIS2C	[1;12,6,1,3,1,4,183,1,1,2,1,3,1,1,5,4,2,7,23,...]	?	1.08232323371113819151600369654116790
1.56155 28128 08830 27491	Triangular root of 2.		$R_2$	$\frac{\sqrt{17}-1}{2}=\sqrt{4+\sqrt{4+\sqrt{4+\sqrt{4+\sqrt{4+\sqrt{4+\cdots }}}}}}-1$ $=\sqrt{4-\sqrt{4-\sqrt{4-\sqrt{4-\sqrt{4-\sqrt{4-\cdots }}}}}}$	(sqrt(17)-1)/2	A	ਫਰਮਾ:OEIS2C	[1;1,1,3,1,1,3,1,1,3,1,1,3,1,1,3,1,1,3,1,1,3,1,...] [1;ਫਰਮਾ:Overline]		1.56155281280883027491070492798703851
9.86960 44010 89358 61883	Pi Squared		${\pi }^2$	$6\zeta (2)=6\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^2}=\frac{6}{1^2}+\frac{6}{2^2}+\frac{6}{3^2}+\frac{6}{4^2}+\cdots$	6 Sum[n=1 to ∞] {1/n^2}	T	A002388	[9;1,6,1,2,47,1,8,1,1,2,2,1,1,8,3,1,10,5,1,3,...]		9.86960440108935861883449099987615114
1.32471 79572 44746 02596	Plastic number		$\rho$	$\sqrt[3]{1+\sqrt[3]{1+\sqrt[3]{1+\cdots }}}=\sqrt[3]{\frac{1}{2}+\sqrt{\frac{23}{108}}}+\sqrt[3]{\frac{1}{2}-\sqrt{\frac{23}{108}}}$	(1+(1+(1+(1+(1+(1) ^(1/3))^(1/3))^(1/3)) ^(1/3))^(1/3))^(1/3)	A	ਫਰਮਾ:OEIS2C	[1;3,12,1,1,3,2,3,2,4,2,141,80,2,5,1,2,8,2,...]	1929	1.32471795724474602596090885447809734
2.37313 82208 31250 90564	Lévy 2 constant		$2ln\gamma$	$\frac{{\pi }^2}{6ln(2)}$	Pi^(2)/(6*ln(2))	T	ਫਰਮਾ:OEIS2C	[2;2,1,2,8,57,9,32,1,1,2,1,2,1,2,1,2,1,3,2,...]	1936	2.37313822083125090564344595189447424
0.85073 61882 01867 26036	Regular paperfolding sequence		$P_f$	$\sum _{n=0}^{\mathrm{\infty }}\frac{8^{2^n}}{2^{2^{n+2}}-1}=\sum _{n=0}^{\mathrm{\infty }}\frac{\frac{1}{2^{2^n}}}{1-\frac{1}{2^{2^{n+2}}}}$	N[Sum[n=0 to ∞] {8^2^n/(2^2^ (n+2)-1)},37]		ਫਰਮਾ:OEIS2C	[0;1,5,1,2,3,21,1,4,107,7,5,2,1,2,1,1,2,1,6,...]		0.85073618820186726036779776053206660
1.15636 26843 32269 71685	Cubic recurrence constant{{.}}		${\sigma }_3$	$\prod _{n=1}^{\mathrm{\infty }}{n}^{3^{-n}}=\sqrt[3]{1\sqrt[3]{2\sqrt[3]{3\cdots }}}=1^{1/3}{2}^{1/9}{3}^{1/27}\cdots$	prod[n=1 to ∞] {n ^(1/3)^n}		ਫਰਮਾ:OEIS2C	[1;6,2,1,1,8,13,1,3,2,2,6,2,1,2,1,1,1,10,33,...]		1.15636268433226971685337032288736935
1.26185 95071 42914 87419	Fractal dimension of the Koch snowflake	ਤਸਵੀਰ:Koch snowflake05.ogv	$C_k$	$\frac{\log 4}{\log 3}$	log(4)/log(3)	T	A100831	[1;3,1,4,1,1,11,1,46,1,5,112,1,1,1,1,1,3,1,7,...]		1.26185950714291487419905422868552171
6.58088 59910 17920 97085	Froda constant		$2^e$	$2^e$	2^e			[6;1,1,2,1,1,2,3,1,14,11,4,3,1,1,7,5,5,2,7,...]		6.58088599101792097085154240388648649
0.26149 72128 47642 78375	Meissel-Mertens constant		$M$	$\underset{n\to \mathrm{\infty }}{\lim }(\sum _{p\le n}\frac{1}{p}-\ln (\ln (n)))=\underset{\gamma :\text{Euler constant},p:\text{prime}}{\gamma +\sum _p(\ln (1-\frac{1}{p})+\frac{1}{p})}$	gamma+ Sum[n=1 to ∞] {ln(1-1/prime(n)) +1/prime(n)}	T ?	ਫਰਮਾ:OEIS2C	[0;3,1,4,1,2,5,2,1,1,1,1,13,4,2,4,2,1,33,296,...]	1866 & 1873	0.26149721284764278375542683860869585
4.81047 73809 65351 65547	John constant		$\gamma$	$\sqrt[i]{i}=i^{-i}=(i^i{)}^{-1}=(((i{)}^i{)}^i{)}^i=e^{\frac{\pi }{2}}=\sqrt{\sum _{n=0}^{\mathrm{\infty }}\frac{{\pi }^n}{n!}}$	e^(π/2)	T	ਫਰਮਾ:OEIS2C	[4;1,4,3,1,1,1,1,1,1,1,1,7,1,20,1,3,6,10,3,2,...]		4.81047738096535165547303566670383313
-0.5 ± 0.86602 54037 84438 64676 i	Cube Root of 1		$\sqrt[3]{1}$	$\{\begin{array}{c}1\\ -\frac{1}{2}+\frac{\sqrt{3}}{2}i\\ -\frac{1}{2}-\frac{\sqrt{3}}{2}i.\end{array}$	1, E^(2i pi/3), E^(-2i pi/3)	C A	ਫਰਮਾ:OEIS2C	- [0,5] ± [0;1,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,...] i - [0,5] ± [0; 1, ਫਰਮਾ:Overline] i		- 0.5 ± 0.8660254037844386467637231707529 i
0.11000 10000 00000 00000 0001	Liouville number		${\text{£}}_{Li}$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{10^{n!}}=\frac{1}{10^{1!}}+\frac{1}{10^{2!}}+\frac{1}{10^{3!}}+\frac{1}{10^{4!}}+\cdots$	Sum[n=1 to ∞] {10^(-n!)}	T	ਫਰਮਾ:OEIS2C	[1;9,1,999,10,9999999999999,1,9,999,1,9]		0.11000100000000000000000100...
0.06598 80358 45312 53707	Lower limit of Tetration		$e^{-e}$	${\left(\frac{1}{e}\right)}^e$	1/(e^e)		ਫਰਮਾ:OEIS2C	[0;15,6,2,13,1,3,6,2,1,1,5,1,1,1,9,4,1,1,1,...]		0.06598803584531253707679018759684642
1.83928 67552 14161 13255	Tribonacci constant		${{\varphi }_{}}_3$	$\frac{1+\sqrt[3]{19+3\sqrt{33}}+\sqrt[3]{19-3\sqrt{33}}}{3}=1+{\left(\sqrt[3]{\frac{1}{2}+\sqrt[3]{\frac{1}{2}+\sqrt[3]{\frac{1}{2}+...}}}\right)}^{-1}$	(1/3)*(1+(19+3 *sqrt(33))^(1/3) +(19-3 *sqrt(33))^(1/3))	A	ਫਰਮਾ:OEIS2C	[1;1,5,4,2,305,1,8,2,1,4,6,14,3,1,13,5,1,7,...]		1.83928675521416113255185256465328660
0.36651 29205 81664 32701	Median of the Gumbel distribution		$l{l}_2$	$-\ln (\ln (2))$	-ln(ln(2))		A074785	[0;2,1,2,1,2,6,1,6,6,2,2,2,1,12,1,8,1,1,3,1,...]		0.36651292058166432701243915823266947
36.46215 96072 07911 7709	Pi^pi		${\pi }^{\pi }$	${\pi }^{\pi }$	pi^pi		ਫਰਮਾ:OEIS2C	[36;2,6,9,2,1,2,5,1,1,6,2,1,291,1,38,50,1,2,...]		36.4621596072079117709908260226921236
0.53964 54911 90413 18711	Ioachimescu constant		$2+\zeta (\frac{1}{2})$	$2-(1+\sqrt{2})\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{n+1}}{\sqrt{n}}=\gamma +\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{2n}{\gamma }_n}{2^{n}n!}$	γ + N[ sum[n=1 to ∞] {((-1)^(2n) gamma_n) /(2^n n!)}]		2- ਫਰਮਾ:OEIS2C	[0;1,1,5,1,4,6,1,1,2,6,1,1,2,1,1,1,37,3,2,1,...]		0.53964549119041318711050084748470198
15.15426 22414 79264 1897	Exponential reiterated constant		$e^e$	$\sum _{n=0}^{\mathrm{\infty }}\frac{e^n}{n!}=\underset{n\to \mathrm{\infty }}{\lim }{\left(\frac{1+n}{n}\right)}^{n^{-n}(1+n{)}^{1+n}}$	Sum[n=0 to ∞] {(e^n)/n!}		ਫਰਮਾ:OEIS2C	[15;6,2,13,1,3,6,2,1,1,5,1,1,1,9,4,1,1,1,6,7,...]		15.1542622414792641897604302726299119
0.64624 54398 94813 30426	Masser–Gramain constant		$C$	$\gamma \beta (1)+{\beta }^{\prime }(1)=\pi (-\ln \mathrm{\Gamma }(\frac{1}{4})+\frac{3}{4}\pi +\frac{1}{2}\ln 2+\frac{1}{2}\gamma )$ $=\pi (-\ln (\frac{1}{4}!)+\frac{3}{4}\ln \pi -\frac{3}{2}\ln 2+\frac{1}{2}\gamma )$ $\gamma =\text{Euler–Mascheroni constant}=0.5772156649\dots$ $\beta ()=\text{Beta function},\mathrm{\Gamma }()=\text{Gamma function}$	Pi/4*(2*Gamma + 2*Log[2] + 3*Log[Pi]- 4 Log[Gamma[1/4]])		ਫਰਮਾ:OEIS2C	[0;1,1,1,4,1,3,2,3,9,1,33,1,4,3,3,5,3,1,3,4,...]		0.64624543989481330426647339684579279
1.11072 07345 39591 56175	The ratio of a square and circle circumscribed		$\frac{\pi }{2\sqrt{2}}$	$\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{\lfloor \frac{n-1}{2}\rfloor }}{2n+1}=\frac{1}{1}+\frac{1}{3}-\frac{1}{5}-\frac{1}{7}+\frac{1}{9}+\frac{1}{11}-\cdots$	sum[n=1 to ∞] {(-1)^(floor( (n-1)/2)) /(2n-1)}	T	ਫਰਮਾ:OEIS2C	[1;9,31,1,1,17,2,3,3,2,3,1,1,2,2,1,4,9,1,3,...]		1.11072073453959156175397024751517342
1.45607 49485 82689 67139	Backhouse's constant		$B$	$\underset{k\to \mathrm{\infty }}{\lim }\left|\frac{q_{k+1}}{q_k}\right|\text{where:}Q(x)=\frac{1}{P(x)}=\sum _{k=1}^{\mathrm{\infty }}{q}_k{x}^k$ $P(x)=\sum _{k=1}^{\mathrm{\infty }}\underset{p_k\text{ prime}}{p_k{x}^k}=1+2x+3x^2+5x^3+\cdots$	1/(FindRoot[0 == 1 + Sum[x^n Prime[n], {n, 10000}], {x, {1}})		ਫਰਮਾ:OEIS2C	[1;2,5,5,4,1,1,18,1,1,1,1,1,2,13,3,1,2,4,16,...]	1995	1.45607494858268967139959535111654355
1.85193 70519 82466 17036	Gibbs constant		$Si(\pi )$ Sin integral	$\underset{0}{\overset{\pi }{\int }}\frac{\sin t}{t}dt=\sum _{n=1}^{\mathrm{\infty }}(-1{)}^{n-1}\frac{{\pi }^{2n-1}}{(2n-1)(2n-1)!}$ $=\pi -\frac{{\pi }^3}{3\cdot 3!}+\frac{{\pi }^5}{5\cdot 5!}-\frac{{\pi }^7}{7\cdot 7!}+\cdots$	SinIntegral[Pi]		ਫਰਮਾ:OEIS2C	[1;1,5,1,3,15,1,5,3,2,7,2,1,62,1,3,110,1,39,...]		1.85193705198246617036105337015799136
0.23571 11317 19232 93137	Copeland–Erdős constant		${𝒞}_{CE}$	$\sum _{n=1}^{\mathrm{\infty }}\frac{p_n}{10^{n+\sum _{k=1}^n\lfloor {\log }_{10}{p}_k\rfloor }}$	sum[n=1 to ∞] {prime(n) /(n+(10^ sum[k=1 to n]{floor (log_10 prime(k))}))}	I	ਫਰਮਾ:OEIS2C	[0;4,4,8,16,18,5,1,1,1,1,7,1,1,6,2,9,58,1,3,...]		0.23571113171923293137414347535961677
1.52362 70862 02492 10627	Fractal dimension of the boundary of the dragon curve		$C_d$	$\frac{\log \left(\frac{1+\sqrt[3]{73-6\sqrt{87}}+\sqrt[3]{73+6\sqrt{87}}}{3}\right)}{\log (2)}$	(log((1+(73-6 sqrt(87))^1/3+ (73+6 sqrt(87))^1/3)/3))/ log(2)))	T		[1;1,1,10,12,2,1,149,1,1,1,3,11,1,3,17,4,1,...]		1.52362708620249210627768393595421662
1.78221 39781 91369 11177	Grothendieck constant		$K_R$	$\frac{\pi }{2\log (1+\sqrt{2})}$	pi/(2 log(1+sqrt(2)))		ਫਰਮਾ:OEIS2C	[1;1,3,1,1,2,4,2,1,1,17,1,12,4,3,5,10,1,1,3,...]		1.78221397819136911177441345297254934
1.58496 25007 21156 18145	Hausdorff dimension, Sierpinski triangle		$lo{g}_{2}3$	$\frac{\log 3}{\log 2}=\frac{\sum _{n=0}^{\mathrm{\infty }}\frac{1}{2^{2n+1}(2n+1)}}{\sum _{n=0}^{\mathrm{\infty }}\frac{1}{3^{2n+1}(2n+1)}}=\frac{\frac{1}{2}+\frac{1}{24}+\frac{1}{160}+\cdots }{\frac{1}{3}+\frac{1}{81}+\frac{1}{1215}+\cdots }$	(Sum[n=0 to ∞] {1/ (2^(2n+1) (2n+1))})/ (Sum[n=0 to ∞] {1/ (3^(2n+1) (2n+1))})	T	ਫਰਮਾ:OEIS2C	[1;1,1,2,2,3,1,5,2,23,2,2,1,1,55,1,4,3,1,1,...]		1.58496250072115618145373894394781651
1.30637 78838 63080 69046	Mills' constant		$\theta$	$\lfloor {\theta }^{3^n}\rfloor$ primes	Nest[ NextPrime[#^3] &, 2, 7]^(1/3^8)		ਫਰਮਾ:OEIS2C	[1;3,3,1,3,1,2,1,2,1,4,2,35,21,1,4,4,1,1,3,2,...]	1947	1.30637788386308069046861449260260571
2.02988 32128 19307 25004	Figure eight knot hyperbolic volume		$V_8$	$2\sqrt{3}\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n(\genfrac{}{}{0ex}{}{2n}{n})}\sum _{k=n}^{2n-1}\frac{1}{k}=6\underset{0}{\overset{\pi /3}{\int }}\log \left(\frac{1}{2\sin t}\right)dt=$ $\frac{\sqrt{3}}{9}\sum _{n=0}^{\mathrm{\infty }}\frac{(-1{)}^n}{27^n}\{\frac{18}{(6n+1{)}^2}-\frac{18}{(6n+2{)}^2}-\frac{24}{(6n+3{)}^2}-\frac{6}{(6n+4{)}^2}+\frac{2}{(6n+5{)}^2}\}$	6 integral[0 to pi/3] {log(1/(2 sin (n)))}		ਫਰਮਾ:OEIS2C	[2;33,2,6,2,1,2,2,5,1,1,7,1,1,1,113,1,4,5,1,...]		2.02988321281930725004240510854904057
262 53741 26407 68743 .99999 99999 99250 073	Hermite–Ramanujan constant		$R$	$e^{\pi \sqrt{163}}$	e^(π sqrt(163))	T	ਫਰਮਾ:OEIS2C	[262537412640768743;1,1333462407511,1,8,1,1,5,...]	1859	262537412640768743.999999999999250073
1.74540 56624 07346 86349	Khinchin harmonic mean		$K_{-1}$	$\frac{\log 2}{\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n}\log (1+\frac{1}{n(n+2)})}=\underset{n\to \mathrm{\infty }}{\lim }\frac{n}{\frac{1}{a_1}+\frac{1}{a_2}+\cdots +\frac{1}{a_n}}$ a1 ... an are elements of a continued fraction [a0; a1, a2, ..., an]	(log 2)/ (sum[n=1 to ∞] {1/n log(1+ 1/(n(n+2))}		ਫਰਮਾ:OEIS2C	[1;1,2,1,12,1,5,1,5,13,2,13,2,1,9,1,6,1,3,1,...]		1.74540566240734686349459630968366106
1.64872 12707 00128 14684	Square root of the number e		$\sqrt{e}$	$\sum _{n=0}^{\mathrm{\infty }}\frac{1}{2^{n}n!}=\sum _{n=0}^{\mathrm{\infty }}\frac{1}{(2n)!!}=\frac{1}{1}+\frac{1}{2}+\frac{1}{8}+\frac{1}{48}+\cdots$	Sum[n=0 to ∞] {1/(2^n n!)}	T	ਫਰਮਾ:OEIS2C	[1;1,1,1,5,1,1,9,1,1,13,1,1,17,1,1,21,1,1,...] = [1;1,ਫਰਮਾ:Overline], p∈ℕ		1.64872127070012814684865078781416357
1.01734 30619 84449 13971	Zeta(6)		$\zeta (6)$	$\frac{{\pi }^6}{945}=\prod _{n=1}^{\mathrm{\infty }}\underset{p_n:\text{ prime}}{\frac{1}{{1-p_n}^{-6}}}=\frac{1}{1-2^{-6}}\cdot \frac{1}{1-3^{-6}}\cdot \frac{1}{1-5^{-6}}\cdots$	Prod[n=1 to ∞] {1/(1-ithprime (n)^-6)}	T	ਫਰਮਾ:OEIS2C	[1;57,1,1,1,15,1,6,3,61,1,5,3,1,6,1,3,3,6,1,...]		1.01734306198444913971451792979092052
0.10841 01512 23111 36151	Trott constant		${\mathrm{T}}_1$	$[1,0,8,4,1,0,1,5,1,2,2,3,1,1,1,3,6,...]$ $\frac{1}{1+\frac{1}{0+\frac{1}{8+\frac{1}{4+\frac{1}{1+\frac{1}{0+1/\cdots }}}}}}$			ਫਰਮਾ:OEIS2C	[0;9,4,2,5,1,2,2,3,1,1,1,3,6,1,5,1,1,2,...]		0.10841015122311136151129081140641509
0.00787 49969 97812 3844	Chaitin constant		$\mathrm{\Omega }$	$\sum _{p\in P}{2}^{-|p|}$ ਫਰਮਾ:Mvar: Halted program ਫਰਮਾ:Math: Size in bits of program ਫਰਮਾ:Mvar ਫਰਮਾ:Mvar: Domain of all programs that stop.		T	ਫਰਮਾ:OEIS2C	[0; 126, 1, 62, 5, 5, 3, 3, 21, 1, 4, 1]	1975	0.0078749969978123844
0.83462 68416 74073 18628	Gauss constant		$G$	$\frac{1}{\mathrm{a}\mathrm{g}\mathrm{m}(1,\sqrt{2})}=\frac{4\sqrt{2}(\frac{1}{4}!{)}^2}{{\pi }^{3/2}}=\frac{2}{\pi }\underset{0}{\overset{1}{\int }}\frac{dx}{\sqrt{1-x^4}}$ AGM = Arithmetic–geometric mean	(4 sqrt(2)((1/4)!)^2) /pi^(3/2)	T	ਫਰਮਾ:OEIS2C	[0;1,5,21,3,4,14,1,1,1,1,1,3,1,15,1,3,7,1,...]		0.83462684167407318628142973279904680
1.45136 92348 83381 05028	Ramanujan–Soldner constant		$\mu$	$\mathrm{l}\mathrm{i}(x)=\underset{0}{\overset{x}{\int }}\frac{dt}{\ln t}=0......$ li = Logarithmic integral $\mathrm{l}\mathrm{i}(x)=\mathrm{E}\mathrm{i}(\ln x)........$ Ei = Exponential integral	FindRoot[li(x) = 0]	I	ਫਰਮਾ:OEIS2C	[1;2,4,1,1,1,3,1,1,1,2,47,2,4,1,12,1,1,2,2,1,...]	1792 to 1809	1.45136923488338105028396848589202744
0.64341 05462 88338 02618	Cahen's constant		${\xi }_2$	$\sum _{k=1}^{\mathrm{\infty }}\frac{(-1{)}^k}{s_k-1}=\frac{1}{1}-\frac{1}{2}+\frac{1}{6}-\frac{1}{42}+\frac{1}{1806}\pm \cdots$ Where sk is the kth term of Sylvester's sequence 2, 3, 7, 43, 1807, ... Defined as: $S_0=2,S_k=1+\prod _{n=0}^{k-1}{S}_n\text{ for}k>0$		T	ਫਰਮਾ:OEIS2C	[0; 1, 1, 1, 4, 9, 196, 16641, 639988804, ...]	1891	0.64341054628833802618225430775756476
1.41421 35623 73095 04880	Square root of 2, Pythagoras constant.		$\sqrt{2}$	$\prod _{n=1}^{\mathrm{\infty }}(1+\frac{(-1{)}^{n+1}}{2n-1})=(1+\frac{1}{1})(1-\frac{1}{3})(1+\frac{1}{5})\cdots$	prod[n=1 to ∞] {1+(-1)^(n+1) /(2n-1)}	A	ਫਰਮਾ:OEIS2C	[1;2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,...] = [1;ਫਰਮਾ:Overline...]		1.41421356237309504880168872420969808
1.77245 38509 05516 02729	Carlson–Levin constant		$\mathrm{\Gamma }(\frac{1}{2})$	$\sqrt{\pi }=(-\frac{1}{2})!=\underset{-\mathrm{\infty }}{\overset{\mathrm{\infty }}{\int }}\frac{1}{e^{x^2}}dx=\underset{0}{\overset{1}{\int }}\frac{1}{\sqrt{-\ln x}}dx$	sqrt (pi)	T	ਫਰਮਾ:OEIS2C	[1;1,3,2,1,1,6,1,28,13,1,1,2,18,1,1,1,83,1,...]		1.77245385090551602729816748334114518
1.05946 30943 59295 26456	Musical interval between each half tone		$\sqrt[12]{2}$	$\begin{array}{cccccccccccccc}{2}^{\frac{x}{12}}& 0& 1& 2& 3& 4& 5& 6& 7& 8& 9& 10& 11& 12\\ \text{Key}& {\mathrm{C}}_{\mathrm{1}}& {\mathrm{C}}^{\mathrm{\#}}& \mathrm{D}& {\mathrm{D}}^{\mathrm{\#}}& \mathrm{E}& \mathrm{F}& {\mathrm{F}}^{\mathrm{\#}}& \mathrm{G}& {\mathrm{G}}^{\mathrm{\#}}& \mathrm{A}& {\mathrm{A}}^{\mathrm{\#}}& \mathrm{B}& {\mathrm{C}}_{\mathrm{2}}\end{array}$(A = 440 Hz)	2^(1/12)	A	ਫਰਮਾ:OEIS2C	[1;16,1,4,2,7,1,1,2,2,7,4,1,2,1,60,1,3,1,2,...]		1.05946309435929526456182529494634170
1.01494 16064 09653 62502	Gieseking constant		$\pi \ln \beta$	$\frac{3\sqrt{3}}{4}(1-\sum _{n=0}^{\mathrm{\infty }}\frac{1}{(3n+2{)}^2}+\sum _{n=1}^{\mathrm{\infty }}\frac{1}{(3n+1{)}^2})=$ $\frac{3\sqrt{3}}{4}(1-\frac{1}{2^2}+\frac{1}{4^2}-\frac{1}{5^2}+\frac{1}{7^2}-\frac{1}{8^2}+\frac{1}{10^2}\pm \cdots )$.	sqrt(3)*3/4 *(1 -Sum[n=0 to ∞] {1/((3n+2)^2)} +Sum[n=1 to ∞] {1/((3n+1)^2)})		ਫਰਮਾ:OEIS2C	[1;66,1,12,1,2,1,4,2,1,3,3,1,4,1,56,2,2,11,...]	1912	1.01494160640965362502120255427452028
2.62205 75542 92119 81046	Lemniscate constant		$\varpi$	$\pi G=4\sqrt{\frac{2}{\pi }}\mathrm{\Gamma }{\left(\frac{5}{4}\right)}^2=\frac{1}{4}\sqrt{\frac{2}{\pi }}\mathrm{\Gamma }{\left(\frac{1}{4}\right)}^2=4\sqrt{\frac{2}{\pi }}{(\frac{1}{4}!)}^2$	4 sqrt(2/pi) ((1/4)!)^2	T	ਫਰਮਾ:OEIS2C	[2;1,1,1,1,1,4,1,2,5,1,1,1,14,9,2,6,2,9,4,1,...]	1798	2.62205755429211981046483958989111941
1.28242 71291 00622 63687	Glaisher–Kinkelin constant		$A$	$e^{\frac{1}{12}-{\zeta }^{\prime }(-1)}=e^{\frac{1}{8}-\frac{1}{2}\sum _{n=0}^{\mathrm{\infty }}\frac{1}{n+1}\sum _{k=0}^n{(-1)}^k(\genfrac{}{}{0ex}{}{n}{k}){(k+1)}^2\ln (k+1)}$	e^(1/12-zeta´{-1})	T ?	ਫਰਮਾ:OEIS2C	[1;3,1,1,5,1,1,1,3,12,4,1,271,1,1,2,7,1,35,...]		1.28242712910062263687534256886979172
-4.22745 35333 76265 408	Digamma (1/4)		$\psi (\frac{1}{4})$	$-\gamma -\frac{\pi }{2}-3\ln 2=-\gamma +\sum _{n=0}^{\mathrm{\infty }}(\frac{1}{n+1}-\frac{1}{n+\frac{1}{4}})$	-EulerGamma -\pi/2 -3 log 2		ਫਰਮਾ:OEIS2C	-[4;4,2,1,1,10,1,5,9,11,1,22,1,1,14,1,2,1,4,...]		-4.2274535333762654080895301460966835
0.28674 74284 34478 73410	Strongly Carefree constant		$K_2$	$\prod _{n=1}^{\mathrm{\infty }}\underset{p_n:\text{ prime}}{(1-\frac{3p_n-2}{{p_n}^3})}=\frac{6}{{\pi }^2}\prod _{n=1}^{\mathrm{\infty }}\underset{p_n:\text{ prime}}{(1-\frac{1}{p_n(p_n+1)})}$	N[ prod[k=1 to ∞] {1-(3*prime(k)-2) /(prime(k)^3)}]		ਫਰਮਾ:OEIS2C	[0;3,2,19,3,12,1,5,1,5,1,5,2,1,1,1,1,1,3,7,...]		0.28674742843447873410789271278983845
3.62560 99082 21908 31193	Gamma(1/4)		$\mathrm{\Gamma }(\frac{1}{4})$	$4\left(\frac{1}{4}\right)!=(-\frac{3}{4})!$	4(1/4)!	T	ਫਰਮਾ:OEIS2C	[3;1,1,1,2,25,4,9,1,1,8,4,1,6,1,1,19,1,1,4,1,...]	1729	3.62560990822190831193068515586767200
1.66168 79496 33594 12129	Somos' quadratic recurrence constant		$\sigma$	$\prod _{n=1}^{\mathrm{\infty }}{n}^{{1/2}^n}=\sqrt{1\sqrt{2\sqrt{3\cdots }}}=1^{1/2}{2}^{1/4}{3}^{1/8}\cdots$	prod[n=1 to ∞] {n ^(1/2)^n}	T ?	ਫਰਮਾ:OEIS2C	[1;1,1,1,21,1,1,1,6,4,2,1,1,2,1,3,1,13,13,...]		1.66168794963359412129581892274995074
0.95531 66181 245092 78163	Magic angle		${\theta }_m$	$\arctan \left(\sqrt{2}\right)=\arccos \left(\sqrt{\frac{1}{3}}\right)\approx {54.7356}^{\circ }$	arctan(sqrt(2))	T	ਫਰਮਾ:OEIS2C	[0;1,21,2,1,1,1,2,1,2,2,4,1,2,9,1,2,1,1,1,3,...]		0.95531661812450927816385710251575775
1.78107 24179 90197 98523	Exp.gamma, Barnes G-function		$e^{\gamma }$	$\prod _{n=1}^{\mathrm{\infty }}\frac{e^{\frac{1}{n}}}{1+\frac{1}{n}}=\prod _{n=0}^{\mathrm{\infty }}{(\prod _{k=0}^n(k+1{)}^{(-1{)}^{k+1}(\genfrac{}{}{0ex}{}{n}{k})})}^{\frac{1}{n+1}}=$ ${\left(\frac{2}{1}\right)}^{1/2}{\left(\frac{2^2}{1\cdot 3}\right)}^{1/3}{\left(\frac{2^3\cdot 4}{1\cdot 3^3}\right)}^{1/4}{\left(\frac{2^4\cdot 4^4}{1\cdot 3^6\cdot 5}\right)}^{1/5}\cdots$	Prod[n=1 to ∞] {e^(1/n)} /{1 + 1/n}		ਫਰਮਾ:OEIS2C	[1;1,3,1,1,3,5,4,1,1,2,2,1,7,9,1,16,1,1,1,2,...]		1.78107241799019798523650410310717954
0.74759 79202 53411 43517	Rényi's Parking Constant		$m$	$\underset{0}{\overset{\mathrm{\infty }}{\int }}exp(-2\underset{0}{\overset{x}{\int }}\frac{1-e^{-y}}{y}dy)dx=e^{-2\gamma }\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{e^{-2\mathrm{\Gamma }(0,n)}}{n^2}$	[e^(-2*Gamma)] *।nt{n,0,∞}[ e^(- 2 *Gamma(0,n)) /n^2]		ਫਰਮਾ:OEIS2C	[0;1,2,1,25,3,1,2,1,1,12,1,2,1,1,3,1,2,1,43,...]		0.74759792025341143517873094383017817
1.27323 95447 35162 68615	Ramanujan–Forsyth series		$\frac{4}{\pi }$	$\sum _{n=0}^{\mathrm{\infty }}{\left(\frac{(2n-3)!!}{(2n)!!}\right)}^2=1+{\left(\frac{1}{2}\right)}^2+{\left(\frac{1}{2\cdot 4}\right)}^2+{\left(\frac{1\cdot 3}{2\cdot 4\cdot 6}\right)}^2+\cdots$	Sum[n=0 to ∞] {[(2n-3)!! /(2n)!!]^2}	I	ਫਰਮਾ:OEIS2C	[1;3,1,1,1,15,2,72,1,9,1,17,1,2,1,5,1,1,10,...]		1.27323954473516268615107010698011489
1.44466 78610 09766 13365	Steiner number, Iterated exponential Constant		$\sqrt[e]{e}$	$e^{\frac{1}{e}}...........$ = Upper Limit of Tetration	e^(1/e)	T	ਫਰਮਾ:OEIS2C	[1;2,4,55,27,1,1,16,9,3,2,8,3,2,1,1,4,1,9,...]		1.44466786100976613365833910859643022
0.69220 06275 55346 35386	Minimum value of función ƒ(x) = xx		${\left(\frac{1}{e}\right)}^{\frac{1}{e}}$	$e^{-\frac{1}{e}}..........$ =।nverse Steiner Number	e^(-1/e)		ਫਰਮਾ:OEIS2C	[0;1,2,4,55,27,1,1,16,9,3,2,8,3,2,1,1,4,1,9,...]		0.69220062755534635386542199718278976
0.34053 73295 50999 14282	Pólya Random walk constant		$p(3)$	$1-{\left(\frac{3}{(2\pi {)}^3}\underset{-\pi }{\overset{\pi }{\int }}\underset{-\pi }{\overset{\pi }{\int }}\underset{-\pi }{\overset{\pi }{\int }}\frac{dxdydz}{3-\cos x-\cos y-\cos z}\right)}^{-1}$ $=1-16\sqrt{\frac{2}{3}}{\pi }^3{(\mathrm{\Gamma }(\frac{1}{24})\mathrm{\Gamma }(\frac{5}{24})\mathrm{\Gamma }(\frac{7}{24})\mathrm{\Gamma }(\frac{11}{24}))}^{-1}$	1-16*Sqrt[2/3]*Pi^3 /(Gamma[1/24] *Gamma[5/24] *Gamma[7/24] *Gamma[11/24])		ਫਰਮਾ:OEIS2C	[0;2,1,14,1,3,8,1,5,2,7,1,12,1,5,59,1,1,1,3,...]		0.34053732955099914282627318443290289
0.54325 89653 42976 70695	Bloch–Landau constant		$L$	$=\frac{\mathrm{\Gamma }(\frac{1}{3})\mathrm{\Gamma }(\frac{5}{6})}{\mathrm{\Gamma }(\frac{1}{6})}=\frac{(-\frac{2}{3})!(-1+\frac{5}{6})!}{(-1+\frac{1}{6})!}$	gamma(1/3) *gamma(5/6) /gamma(1/6)		ਫਰਮਾ:OEIS2C	[0;1,1,5,3,1,1,2,1,1,6,3,1,8,11,2,1,1,27,4,...]	1929	0.54325896534297670695272829530061323
0.18785 96424 62067 12024	MRB Constant, Marvin Ray Burns		$C_{{}_{MRB}}$	$\sum _{n=1}^{\mathrm{\infty }}(-1{)}^n(n^{1/n}-1)=-\sqrt[1]{1}+\sqrt[2]{2}-\sqrt[3]{3}+\cdots$	Sum[n=1 to ∞] {(-1)^n (n^(1/n)-1)}		ਫਰਮਾ:OEIS2C	[0;5,3,10,1,1,4,1,1,1,1,9,1,1,12,2,17,2,2,1,...]	1999	0.18785964246206712024851793405427323
1.46707 80794 33975 47289	Porter Constant		$C$	$\frac{6\ln 2}{{\pi }^2}(3\ln 2+4\gamma -\frac{24}{{\pi }^2}{\zeta }^{\prime }(2)-2)-\frac{1}{2}$ $\gamma \text{= Euler–Mascheroni Constant}=0.5772156649\dots$ ${\zeta }^{\prime }(2)\text{= Derivative of }\zeta (2)=-\sum _{n=2}^{\mathrm{\infty }}\frac{\ln n}{n^2}=-0.9375482543\dots$	6*ln2/pi^2(3*ln2+ 4 EulerGamma- WeierstrassZeta'(2) *24/pi^2-2)-1/2		ਫਰਮਾ:OEIS2C	[1;2,7,10,1,2,38,5,4,1,4,12,5,1,5,1,2,3,1,...]	1974	1.46707807943397547289779848470722995
4.66920 16091 02990 67185	Feigenbaum constant δ		$\delta$	$\underset{n\to \mathrm{\infty }}{\lim }\frac{x_{n+1}-x_n}{x_{n+2}-x_{n+1}}x\in (3.8284;3.8495)$ $x_{n+1}=a{x}_n(1-x_n)\text{or}{x}_{n+1}=a\sin (x_n)$		T	ਫਰਮਾ:OEIS2C	[4;1,2,43,2,163,2,3,1,1,2,5,1,2,3,80,2,5,...]	1975	4.66920160910299067185320382046620161
2.50290 78750 95892 82228	Feigenbaum constant α		$\alpha$	$\underset{n\to \mathrm{\infty }}{\lim }\frac{d_n}{d_{n+1}}$		T ?	ਫਰਮਾ:OEIS2C	[2;1,1,85,2,8,1,10,16,3,8,9,2,1,40,1,2,3,...]	1979	2.50290787509589282228390287321821578
0.62432 99885 43550 87099	Golomb–Dickman constant		$\lambda$	$\underset{0}{\overset{\mathrm{\infty }}{\int }}\underset{\text{Para }x>2}{\frac{f(x)}{x^2}dx}=\underset{0}{\overset{1}{\int }}{e}^{\mathrm{Li}(n)}dn\text{Li: Logarithmic integral}$	N[Int{n,0,1}[e^Li(n)],34]		ਫਰਮਾ:OEIS2C	[0;1,1,1,1,1,22,1,2,3,1,1,11,1,1,2,22,2,6,1,...]	1930 & 1964	0.62432998854355087099293638310083724
23.14069 26327 79269 0057	Gelfond constant		$e^{\pi }$	$(-1{)}^{-i}=i^{-2i}=\sum _{n=0}^{\mathrm{\infty }}\frac{{\pi }^n}{n!}=\frac{{\pi }^1}{1}+\frac{{\pi }^2}{2!}+\frac{{\pi }^3}{3!}+\cdots$	Sum[n=0 to ∞] {(pi^n)/n!}	T	ਫਰਮਾ:OEIS2C	[23;7,9,3,1,1,591,2,9,1,2,34,1,16,1,30,1,...]		23.1406926327792690057290863679485474
7.38905 60989 30650 22723	Conic constant, Schwarzschild constant		$e^2$	$\sum _{n=0}^{\mathrm{\infty }}\frac{2^n}{n!}=1+2+\frac{2^2}{2!}+\frac{2^3}{3!}+\frac{2^4}{4!}+\frac{2^5}{5!}+\cdots$	Sum[n=0 to ∞] {2^n/n!}	T	ਫਰਮਾ:OEIS2C	[7;2,1,1,3,18,5,1,1,6,30,8,1,1,9,42,11,1,...] = [7,2,ਫਰਮਾ:Overline], n = 3, 6, 9, etc.		7.38905609893065022723042746057500781
0.35323 63718 54995 98454	Hafner–Sarnak–McCurley constant (1)		$\sigma$	$\prod _{k=1}^{\mathrm{\infty }}\{1-[1-\prod _{j=1}^n\underset{p_k:\text{ prime}}{(1-p_k^{-j}){]}^2}\}$	prod[k=1 to ∞] {1-(1-prod[j=1 to n] {1-ithprime(k)^-j})^2}		ਫਰਮਾ:OEIS2C	[0;2,1,4,1,10,1,8,1,4,1,2,1,2,1,2,6,1,1,1,3,...]	1993	0.35323637185499598454351655043268201
0.60792 71018 54026 62866	Hafner–Sarnak–McCurley constant (2)		$\frac{1}{\zeta (2)}$	$\frac{6}{{\pi }^2}=\prod _{n=0}^{\mathrm{\infty }}\underset{p_n:\text{ prime}}{(1-\frac{1}{{p_n}^2})}=(1-\frac{1}{2^2})(1-\frac{1}{3^2})(1-\frac{1}{5^2})\cdots$	Prod{n=1 to ∞} (1-1/ithprime(n)^2)	T	ਫਰਮਾ:OEIS2C	[0;1,1,1,1,4,2,4,7,1,4,2,3,4,10,1,2,1,1,1,...]		0.60792710185402662866327677925836583
0.12345 67891 01112 13141	Champernowne constant		$C_{10}$	$\sum _{n=1}^{\mathrm{\infty }}\sum _{k=10^{n-1}}^{10^n-1}\frac{k}{10^{kn-9\sum _{j=0}^{n-1}10^j(n-j-1)}}$		T	ਫਰਮਾ:OEIS2C	[0;8,9,1,149083,1,1,1,4,1,1,1,3,4,1,1,1,15,...]	1933	0.12345678910111213141516171819202123
0.76422 36535 89220 66299	Landau-Ramanujan constant		$K$	$\frac{1}{\sqrt{2}}\prod _{p\equiv 3mod4}\underset{p:\text{ prime}}{{(1-\frac{1}{p^2})}^{-\frac{1}{2}}}=\frac{\pi }{4}\prod _{p\equiv 1mod4}\underset{p:\text{ prime}}{{(1-\frac{1}{p^2})}^{\frac{1}{2}}}$		T ?	ਫਰਮਾ:OEIS2C	[0;1,3,4,6,1,15,1,2,2,3,1,23,3,1,1,3,1,1,6,4,...]		0.76422365358922066299069873125009232
2.71828 18284 59045 23536	Number e, Euler's number		$e$	$\underset{n\to \mathrm{\infty }}{\lim }{(1+\frac{1}{n})}^n=\sum _{n=0}^{\mathrm{\infty }}\frac{1}{n!}=\frac{1}{0!}+\frac{1}{1}+\frac{1}{2!}+\frac{1}{3!}+\cdots$	Sum[n=0 to ∞] {1/n!} (* lim_(n->∞) (1+1/n)^n *)	T	ਫਰਮਾ:OEIS2C	[2;1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,1,...] = [2;ਫਰਮਾ:Overline], p∈ℕ		2.71828182845904523536028747135266250
0.36787 94411 71442 32159	Inverse of Number e		$\frac{1}{e}$	$\sum _{n=0}^{\mathrm{\infty }}\frac{(-1{)}^n}{n!}=\frac{1}{0!}-\frac{1}{1!}+\frac{1}{2!}-\frac{1}{3!}+\frac{1}{4!}-\frac{1}{5!}+\cdots$	Sum[n=2 to ∞] {(-1)^n/n!}	T	ਫਰਮਾ:OEIS2C	[0;2,1,1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,...] = [0;2,1,ਫਰਮਾ:Overline], p∈ℕ	1618	0.36787944117144232159552377016146086
0.69034 71261 14964 31946	Upper iterated exponential		$H_{2n+1}$	$\underset{n\to \mathrm{\infty }}{\lim }{H}_{2n+1}={\left(\frac{1}{2}\right)}^{{\left(\frac{1}{3}\right)}^{{\left(\frac{1}{4}\right)}^{{\cdot }^{{\cdot }^{\left(\frac{1}{2n+1}\right)}}}}}=2^{-3^{-4^{{\cdot }^{{\cdot }^{-2n-1}}}}}$	2^-3^-4^-5^-6^ -7^-8^-9^-10^ -11^-12^-13 …		ਫਰਮਾ:OEIS2C	[0;1,2,4,2,1,3,1,2,2,1,4,1,2,4,3,1,1,10,1,3,2,...]		0.69034712611496431946732843846418942
0.65836 55992 ...	Lower límit iterated exponential		$H_{2n}$	$\underset{n\to \mathrm{\infty }}{\lim }{H}_{2n}={\left(\frac{1}{2}\right)}^{{\left(\frac{1}{3}\right)}^{{\left(\frac{1}{4}\right)}^{{\cdot }^{{\cdot }^{\left(\frac{1}{2n}\right)}}}}}=2^{-3^{-4^{{\cdot }^{{\cdot }^{-2n}}}}}$	2^-3^-4^-5^-6^ -7^-8^-9^-10^ -11^-12 …			[0;1,1,1,12,1,2,1,1,4,3,1,1,2,1,2,1,51,2,2,1,...]		0.6583655992...
3.14159 26535 89793 23846	π number, Archimedes number		$\pi$	$\underset{n\to \mathrm{\infty }}{\lim }{2}^n\underset{n}{\underbrace{\sqrt{2-\sqrt{2+\sqrt{2+\cdots +\sqrt{2}}}}}}$	Sum[n=0 to ∞] {(-1)^n 4/(2n+1)}	T	ਫਰਮਾ:OEIS2C	[3;7,15,1,292,1,1,1,2,1,3,1,14,2,1,1,2,2,2,...]		3.14159265358979323846264338327950288
1.92878 00...	Wright constant		$\omega$	$\lfloor 2^{2^{2^{{\cdot }^{{\cdot }^{2^{\omega }}}}}}\rfloor \text{= primes:}\lfloor 2^{\omega }\rfloor \text{=3,}\lfloor 2^{2^{\omega }}\rfloor \text{=13,}\lfloor 2^{2^{2^{\omega }}}\rfloor =16381,\dots$			ਫਰਮਾ:OEIS2C	[1; 1, 13, 24, 2, 1, 1, 3, 1, 1, 3]		1.9287800...
0.46364 76090 00806 11621	Machin–Gregory series		$\arctan \frac{1}{2}$	$\underset{\text{For }x=1/2}{\sum _{n=0}^{\mathrm{\infty }}\frac{(-1{)}^n{x}^{2n+1}}{2n+1}=\frac{1}{2}-\frac{1}{3\cdot 2^3}+\frac{1}{5\cdot 2^5}-\frac{1}{7\cdot 2^7}+\cdots }$	Sum[n=0 to ∞] {(-1)^n (1/2)^(2n+1) /(2n+1)}	I	ਫਰਮਾ:OEIS2C	[0;2,6,2,1,1,1,6,1,2,1,1,2,10,1,2,1,2,1,1,1,...]		0.46364760900080611621425623146121440
0.69777 46579 64007 98200	Continued fraction constant, Bessel function		$C_{CF}$	$\frac{I_1(2)}{I_0(2)}=\frac{\sum _{n=0}^{\mathrm{\infty }}\frac{n}{n!n!}}{\sum _{n=0}^{\mathrm{\infty }}\frac{1}{n!n!}}=\frac{1}{1+\frac{1}{2+\frac{1}{3+\frac{1}{4+\frac{1}{5+\frac{1}{6+1/\cdots }}}}}}$	(Sum [n=0 to ∞] {n/(n!n!)}) / (Sum [n=0 to ∞] {1/(n!n!)})	I	ਫਰਮਾ:OEIS2C	[0;1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,...] = [0;ਫਰਮਾ:Overline], p∈ℕ		0.69777465796400798200679059255175260
1.90216 05831 04	Brun 2 constant = Σ inverse of Twin primes		$B_2$	$\underset{p,p+2:\text{ prime}}{\sum (\frac{1}{p}+\frac{1}{p+2})}=(\frac{1}{3}+\frac{1}{5})+(\frac{1}{5}+\frac{1}{7})+(\frac{1}{11}+\frac{1}{13})+\cdots$			ਫਰਮਾ:OEIS2C	[1; 1, 9, 4, 1, 1, 8, 3, 4, 4, 2, 2]		1.902160583104
0.87058 83799 75	Brun 4 constant = Σ inv.prime quadruplets		$B_4$	$\sum (\frac{1}{p}+\frac{1}{p+2}+\frac{1}{p+6}+\frac{1}{p+8})p,p+2,p+6,p+8:\text{ prime}$ $(\frac{1}{5}+\frac{1}{7}+\frac{1}{11}+\frac{1}{13})+(\frac{1}{11}+\frac{1}{13}+\frac{1}{17}+\frac{1}{19})+\dots$			ਫਰਮਾ:OEIS2C	[0; 1, 6, 1, 2, 1, 2, 956, 3, 1, 1]		0.870588379975
0.63661 97723 67581 34307	Buffon constant		$\frac{2}{\pi }$	$\frac{\sqrt{2}}{2}\cdot \frac{\sqrt{2+\sqrt{2}}}{2}\cdot \frac{\sqrt{2+\sqrt{2+\sqrt{2}}}}{2}\cdots$ Viète product	2/Pi	T	ਫਰਮਾ:OEIS2C	[0;1,1,1,3,31,1,145,1,4,2,8,1,6,1,2,3,1,4,...]	1540 to 1603	0.63661977236758134307553505349005745
0.59634 73623 23194 07434	Euler–Gompertz constant		$G$	$\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{e^{-n}}{1+n}dn=\underset{0}{\overset{1}{\int }}\frac{1}{1-\ln n}dn=\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{2}{1+\frac{2}{1+\frac{3}{1+3/\cdots }}}}}}$	integral[0 to ∞] {(e^-n)/(1+n)}	I	ਫਰਮਾ:OEIS2C	[0;1,1,2,10,1,1,4,2,2,13,2,4,1,32,4,8,1,1,1,...]		0.59634736232319407434107849936927937
i ···	Imaginary number		$i$	$\sqrt{-1}=\frac{\ln (-1)}{\pi }{\mathrm{e}}^{i\pi }=-1$	sqrt(-1)	C I			1501 to 1576	i
2.74723 82749 32304 33305	Ramanujan nested radical		$R_5$	$\sqrt{5+\sqrt{5+\sqrt{5-\sqrt{5+\sqrt{5+\sqrt{5+\sqrt{5-\cdots }}}}}}}=\frac{2+\sqrt{5}+\sqrt{15-6\sqrt{5}}}{2}$	(2+sqrt(5) +sqrt(15 -6 sqrt(5)))/2	A		[2;1,2,1,21,1,7,2,1,1,2,1,2,1,17,4,4,1,1,4,2,...]		2.74723827493230433305746518613420282
0.56714 32904 09783 87299	Omega constant, Lambert W function		$\mathrm{\Omega }$	$\sum _{n=1}^{\mathrm{\infty }}\frac{(-n{)}^{n-1}}{n!}={\left(\frac{1}{e}\right)}^{{\left(\frac{1}{e}\right)}^{{\cdot }^{{\cdot }^{\left(\frac{1}{e}\right)}}}}=e^{-\mathrm{\Omega }}=e^{-e^{-e^{{\cdot }^{{\cdot }^{-e}}}}}$	Sum[n=1 to ∞] {(-n)^(n-1)/n!}	T	ਫਰਮਾ:OEIS2C	[0;1,1,3,4,2,10,4,1,1,1,1,2,7,306,1,5,1,2,1,...]		0.56714329040978387299996866221035555
0.96894 61462 59369 38048	Beta(3)		$\beta (3)$	$\frac{{\pi }^3}{32}=\sum _{n=1}^{\mathrm{\infty }}\frac{-1^{n+1}}{(-1+2n{)}^3}=\frac{1}{1^3}-\frac{1}{3^3}+\frac{1}{5^3}-\frac{1}{7^3}+\cdots$	Sum[n=1 to ∞] {(-1)^(n+1) /(-1+2n)^3}	T	ਫਰਮਾ:OEIS2C	[0;1,31,4,1,18,21,1,1,2,1,2,1,3,6,3,28,1,...]		0.96894614625936938048363484584691860
2.23606 79774 99789 69640	Square root of 5, Gauss sum		$\sqrt{5}$	$(n=5)\sum _{k=0}^{n-1}{e}^{\frac{2k^2\pi i}{n}}=1+e^{\frac{2\pi i}{5}}+e^{\frac{8\pi i}{5}}+e^{\frac{18\pi i}{5}}+e^{\frac{32\pi i}{5}}$	Sum[k=0 to 4] {e^(2k^2 pi i/5)}	A	ਫਰਮਾ:OEIS2C	[2;4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,...] = [2;ਫਰਮਾ:Overline,...]		2.23606797749978969640917366873127624
3.35988 56662 43177 55317	Prévost constant Reciprocal Fibonacci constant		$\mathrm{\Psi }$	$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{F_n}=\frac{1}{1}+\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{5}+\frac{1}{8}+\frac{1}{13}+\cdots$ Fn: Fibonacci series	Sum[n=1 to ∞] {1/Fibonacci[n]}	I	ਫਰਮਾ:OEIS2C	[3;2,1,3,1,1,13,2,3,3,2,1,1,6,3,2,4,362,...]	?	3.35988566624317755317201130291892717
ਫਰਮਾ:Nobr	Khinchin's constant		$K_0$	$\prod _{n=1}^{\mathrm{\infty }}{\left[1+\frac{1}{n(n+2)}\right]}^{\ln n/\ln 2}$	Prod[n=1 to ∞] {(1+1/(n(n+2))) ^(ln(n)/ln(2))}	T	ਫਰਮਾ:OEIS2C	[2;1,2,5,1,1,2,1,1,3,10,2,1,3,2,24,1,3,2,...]	1934	2.68545200106530644530971483548179569

ਇਹ ਵੀ ਦੇਖੋ

• ਇਨਵੇਰੀਅੰਟ (ਗਣਿਤ)
• ਸੰਖਿਆਵਾਂ ਦੀ ਸੂਚੀ
• ਗਣਿਤਿਕ ਸਥਿਰਾਂਕ

ਬਾਹਰੀ ਲਿੰਕ

• ਫਰਮਾ:ਮੁਰਦਾ ਕੜੀ Symbolic Calculator, Plouffe's।nverter
• Constants - from Wolfram MathWorld
• On-Line Encyclopedia of।nteger Sequences (OEIS)
• Steven Finch's page of mathematical constants
• Xavier Gourdon and Pascal Sebah's page of numbers, mathematical constants and algorithms