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 । 
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..

 Value  Name GraphicsSymbol LaTeX  Formula Nº OEIS  Continued fractionYearWeb format0.74048 04896 93061 04116Hermite constant Sphere packing 3D Kepler conjecture100px  The Flyspeck project, led by Thomas Hales, demonstrated in 2014 that Kepler's conjecture is true.  pi/(3 sqrt(2))
 [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 47342pi^e pi^e
 [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 36522Fransén-Robinson constantN[int[0 to ∞] {1/Gamma(x)}]
 [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   100px[0;3,2,3,16,8,10,3,1,1,2,1,3,1,2,13,1,1,4,1,5,...]1994  19981.305686729 ≈  1.305688 ≈0.43828 29367 27032 11162 
0.36059 24718 71385 485 iInfinite Tetration of i i^i^i^i^i^i^...
 C  [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 58271Sum of the reciprocals of the averages of the twin prime pairs, JJGJJG 1/4 + 1/6 + 1/12 + 1/18 + 1/30 + 1/42 + 1/60 + 1/72 + ...
 [0; 1, 13, 19, 4, 2, 3, 1, 1]20140.9288358271310.63092 97535 71457 43709Fractal dimension of the Cantor set100pxlog(2)/log(3) 
 N[3^x=2]
 T[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  2 sqrt(2)/9801 
 * Sum[n=0 to ∞] 
 {((4n)!/n!^4)
 *(1103+ 26390n)
 / 396^(4n)} T[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 42127Flajolet and Richmond prod[n=1 to ∞]
{1-1/2^n} [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 03869Lieb's square ice constant100px (4/3)^(3/2) A[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  e^(-π/2) T[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 80962Van der Pauw constant  π/ln(2) [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 88811Hyperbolic tangent of 1100px (e-1/e)/(e+1/e) T[0;1,3,5,7,9,11,13,15,17,19,21,23,25,27,...]  = [0;], p∈ℕ 0.76159415595576488811945828260479359 0.59017 02995 08048 11302Chebyshev constant(Gamma(1/4)^2)
/(4 pi^(3/2))[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 iAnalog of the series MRB constantMKB constant lim_(2n->∞) int[1 to 2n] 
 {exp(i*Pi*x)*x^(1/x) dx}C  [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, ...] i2009 0.07077603931152880353952802183028200  -0.68400038943793212918274445999266 i  1.25992 10498 94873 16476Cube root of 2  Delian Constant 100px 2^(1/3)A[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 89396Smarandache Constant 1ª where μ(n) is the Kempner function [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 iGeneralized continued fraction  of 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+i/(
...)))))))))))))))))))))C A[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;]  0.62481053384382658687960444744285144  + 1.30024259022012041915890982074952 i 3.05940 74053 42576 14453Double factorialDouble factorial  constant100pxSum[n=0 to ∞]{1/n!!}[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 12266Madelung Constant 2Pi Log[3]Sqrt[3][5;1,44,2,2,1,15,1,1,12,1,65,11,1,3,1,1,...] 5.97798681217834912266905331933922774 0.91893 85332 04672 74178Raabe's formulaintegral_a^(a+1)
{log(Gamma(x))+a-a log(a)} dx[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 96230Lower limit in the moving sofa problem100px pi/2 + 2/piT[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 50654Salem number,
Lehmer's conjecturex^10+x^9-x^7-x^6 
 -x^5-x^4-x^3+x+1A[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 28805Artin constantProd[n=1 to ∞] 
 {1-1/(prime(n) 
 (prime(n)-1))}[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 62702Volume of Reuleaux tetrahedron100px(3*Sqrt[2] - 49*Pi + 162*ArcTan[Sqrt[2]])/12[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 57554Murata ConstantProd[n=1 to ∞]
{1+1/(prime(n)
-1)^2}[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 48573Paris Constant  con  y [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 angle50px50px = 137.5077640500378546 ...°(4-2*Phi)*PiT[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 13687Lebesgue constant L21/5 + sqrt(25 - 
 2*sqrt(5))/PiT[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 11307Vardi constant[1;3,1,3,1,2,5,54,7,1,2,1,2,3,15,1,2,1,1,2,1,...]1991 1.26408473530530111307959958416466949  ± Area of the Mandelbrot fractal100px This is conjectured to be:  [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 T[1; 1, 1, 1, 1, 2, 1, 808, 2, 1, 2, 1, 14,...] 1.61111492580837673611111111111111111 1.11786 41511 89944 97314Goh-Schmutz constant : Exponential।ntegralIntegrate{
log(s+1)
/(E^s-1)} [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 ilogarithmFixed points Super-Logarithm Tetration100pxFor an initial value of  different to , etc.-W(-1)
where W=ProductLog
Lambert W function C  [-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 13303Bernstein's constant1/(2 sqrt(pi))T[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 57392Twin Primes Constantprod[p=3 to ∞]
{p(p-2)/(p-1)^2[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 24441Fibonacci Factorial constant prod[n=1 to ∞] 
 {1-((sqrt(5) -3)/2)^n}[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 20070Kepler–Bouwkamp constant100pxprod[n=3 to ∞]
{cos(pi/n)}[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 93301Komornik–Loreti constanttk = Thue–Morse sequenceFindRoot[(prod[n=0 to ∞] 
{1-1/(x^2^n)}+(x-2)
/(x-1))= 0, {x, 1.7}, 
WorkingPrecision->30]T[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 64655Bronze ratio(3+sqrt 13)/2A[3;3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,...]  = [3;,...] 3.30277563773199464655961063373524797 0.82699 33431 32688 07426Disk Covering100px3 Sqrt[3]/(2 Pi)T[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 18865Gelfond–Schneider constant2^sqrt{2}T[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 15978Khinchin-Lévy constant e^(\pi^2/(12 ln(2))[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 40645Chi Function <small> Hyperbolic cosine integral100pxChi(x)[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 943Viswanath constant where an = Fibonacci sequencelim_(n->∞) 
|a_n|^(1/n) T ? [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 82735Favard constantsum[n=1 to ∞]
{1/((2n-1)^2)}T[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 50241Square root of 2 pi100px   Stirling's approximationsqrt (2 pi)T[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 93846Square root of Tau·esqrt(2 pi e)[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 92574Lochs constant6*ln(2)*ln(10)/Pi^2[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 46013Area bounded by the eccentric rotation of Reuleaux triangle 100px where a= side length of the square2 sqrt(3)+pi/6-3T[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 2N[prod[n=1 to ∞] 
 {1 - 1/(prime(n)* 
 (prime(n)+1))}][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 51225Connective constant100pxas a root of the polynomial sqrt(2+sqrt(2))A[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 65859Gauss-Kuzmin-Wirsing constantwhere  is an analytic function with .[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 61923Favard constant K1  Wallis product100pxProd[n=1 to ∞] 
 {(4n^2)/(4n^2-1)}T[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 76378Erdős–Borwein constantsum[n=1 to ∞]
{1/(2^n-1)}I[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 84820Phi, Golden ratio100px (1+5^(1/2))/2A[0;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,...] = [0;,...]-300 ~ 1.61803398874989484820458683436563811 1.64493 40668 48226 43647Riemann Function Zeta(2)Sum[n=1 to ∞]
{1/n^2}T[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 29352Theodorus constant100px(3(3(3(3(3(3(3) 
 ^1/3)^1/3)^1/3) 
 ^1/3)^1/3)^1/3) 
 ^1/3 ...A[1;1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,...]  = [1;,...]-465  to  -398 1.73205080756887729352744634150587237 1.75793 27566 18004 53270Kasner number Fold[Sqrt[#1+#2]
 &,0,Reverse 
 [Range[20]]][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 07403Universal parabolic constant100pxln(1+sqrt 2)+sqrt 2T[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 46345Silverman constant   ø() = Euler's totient function, σ1() = Divisor function.Sum[n=1 to ∞] 
 {1/[EulerPhi(n) 
 DivisorSigma(1,n)]} [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 94029Area of the regular hexagon with side equal to 180px
 3 sqrt(3)/2A[2;1,1,2,20,2,1,1,4,1,1,2,20,2,1,1,4,1,1,2,20,...]  [2;] 2.59807621135331594029116951225880855 0.66131 70494 69622 33528 Feller-Tornier constant[prod[n=1 to ∞] 
 {1-2/prime(n)^2}] 
 /2 + 1/2T ? [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 35815Baxter's  Four-coloring  constant Mapamundi 100px Four-Coloring
  Γ() = Gamma function 3×Gamma(1/3) 
 ^3/(4 pi^2)[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 30426Tetranacci constantPositive root of Root[x+x^-4-2=0]A[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 37609DeVicci's tesseract constant100pxThe largest cube that can pass through in an 4D hypercube.
Positive root of Root[4*x^8-28*x^6 
 -7*x^4+16*x^2+16 
 =0]A[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 76428Niven's constant1+ Sum[n=2 to ∞]
{1-(1/Zeta(n))}[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 61686Relationship among the area of an equilateral triangle and the inscribed circle.100px  Dirichlet series Sum[1/(n 
Binomial[2 n, n])
, {n, 1, ∞}]T[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 constant2/sqrt(3)A1+[1;6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,6,2,...]  [1;]  1.15470053837925152901829756100391491 0.41245 40336 40107 59778Prouhet–Thue–Morse constant100px where  is the Thue–Morse sequence and  Where T[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 40229Pell constantN[1-prod[n=0 to ∞] 
 {1-1/(2^(2n+1)}]T ?[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 58097Laplace limit100px(x e^sqrt(x^2+1))
/(sqrt(x^2+1)+1) = 1[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 06586Hall-Montgomery Constant 1 + Pi^2/6 + 
2*PolyLog[2, -Sqrt[E]][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 39226Calabi triangle constant100px FindRoot[ 
 2x^3-2x^2-3x+2 
 ==0, {x, 1.5}, 
 WorkingPrecision->40]A[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 64512Gamma(3/4)(-1+3/4)![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 28539Apéry's constant100pxSum[n=1 to ∞]
{1/n^3}I[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 01505Catalan's constant Sum[n=0 to ∞]
{(-1)^n/(2n+1)^2}T[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 30961Beta(1)100pxSum[n=0 to ∞]
{(-1)^n/(2n+1)}T[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 17810Heath-Brown–Moroz constantN[prod[n=1 to ∞] 
 {((1-1/prime(n))^7) 
 *(1+(7*prime(n)+1) 
 /(prime(n)^2))}]T ?[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 82538Module of ।nfinite  Tetration of iMod(i^i^i^...)[0;1,1,3,4,1,58,12,1,51,1,4,12,1,1,2,2,3,...] 0.56755516330695782538461314419245334 0.78343 05107 12134 40705Sophomore's dream1  J.Bernoulli100pxSum[n=1 to ∞] 
 {-(-1)^n /n^n}[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 54040Sophomore's dream2  J.Bernoulli100pxSum[n=1 to ∞] 
 {1/(n^n)}[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 96514Primorial constant   Sum of the product of inverse of primes Sum[k=1 to ∞] 
 (prod[n=1 to k] 
 {1/prime(n)})I[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 27417Plouffe's gamma constant100pxArctan(1/2)/piT[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 33576Plouffe's A constant1/(2 pi)T[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 78013Dimer constant 2D,  Domino tiling100pxC=CatalanN[int[-pi to pi]
{arccosh(sqrt(
cos(t)+3)/sqrt(2))
/(4*Pi)dt}][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 iFactorial(i)Integral_0^∞ 
 t^i/e^t dtC  [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 59148Wallis Constant100px(((45-sqrt(1929)) 
 /18))^(1/3)+ 
 (((45+sqrt(1929)) 
 /18))^(1/3)A[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 00940Sarnak constantN[prod[k=2 to ∞] 
 {1-(prime(k)+2) 
 /(prime(k)^3)}]T ?[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 67840Time constant100px lim_(n->∞) (1- !n/n!) 
 !n=subfactorialT[0;1,1,1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,1,...]  = [0;1,], n∈ℕ  0.63212055882855767840447622983853913 1.04633 50667 70503 18098Minkowski-Siegel mass constant N[prod[n=1 to ∞] 
 n! /(sqrt(2*Pi*n) 
 *(n/e)^n *(1+1/n) 
 ^(1/12))][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 62092Lemniscate Constant80pxGamma[ 1/4 ]^2 
 /Sqrt[ 2 Pi ][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 23515Robbins constant(4+17*2^(1/2)-6 
 *3^(1/2)+21*ln(1+ 
 2^(1/2))+42*ln(2+ 
 3^(1/2))-7*Pi)/105[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 39125Conway constant100pxA[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 45282Khinchin–Lévy constantpi^2 /(12 ln 2)[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 05333Baker constant100pxSum[n=0 to ∞] 
 {((-1)^(n))/(3n+1)}[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 6160Kempner Serie(0)(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+...[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 95174Lebesgue constant 100px4/pi^2*[(2 
 Sum[k=1 to ∞] 
 {ln(k)/(4*k^2-1)}) 
 -poligamma(1/2)][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 113612nd du Bois-Reymond constant(e^2-7)/2 T[0;5,7,9,11,13,15,17,19,21,23,25,27,29,31,...] = [0;], p∈ℕ 0.19452804946532511361521373028750390 0.78853 05659 11508 96106Lüroth constant35pxSum[n=2 to ∞] 
 log(n/(n-1))/n[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 05459Foias constant αFoias constant is the unique real number such that if x1 = α then the sequence diverges to ∞. When x1 = α, [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 03150Foias constant β 100pxx^(x+1) 
 = (x+1)^x[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 21823Nielsen-Ramanujan constantSum[n=1 to ∞]
{((-1)^(n+1))/n^2}T[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 30941Natural logarithm of 2100pxSum[n=1 to ∞]
{(-1)^(n+1)/n}T[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 65033Weierstrass constant(E^(Pi/8) Sqrt[Pi])
 /(4 2^(3/4) (1/4)!^2)[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 86060Euler–Mascheroni constant100px  sum[n=1 to ∞]
|sum[k=0 to ∞]
{((-1)^k)/(2^n+k)}[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 79337Beta, Kneser-Mahler polynomial constant e^((PolyGamma(1,4/3) 
 - PolyGamma(1,2/3) 
 +9)/(4*sqrt(3)*Pi)) [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 43520Golden Spiral 100pxGoldenRatio^(2/pi)[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 43964Stephens constantProd[n=1 to ∞] 
 {1-hprime(n) 
 /(hprime(n)^3-1)}T ?[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 64165Dottie number100pxcos(c)=cT[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 97803Taniguchi constantProd[n=1 to ∞] {1 
 -3/ithprime(n)^3 
 +2/ithprime(n)^4 
 +1/ithprime(n)^5 
 -1/ithprime(n)^6}T ?[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 91843Gauss' Lemniscate constant100pxpi^(3/2)/(2 Gamma(3/4)^2)[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 82469Infinite product constant, with Alladi-GrinsteadProd[n=2 to inf] 
{(1+1/n)^(1/n)}[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 30718Spiral of Theodorus 100pxSum[n=1 to ∞] 
 {1/(n^(3/2) 
 +n^(1/2))}[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 00329Nested radical S5 (sqrt(21)+1)/2AA222134[2;1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,...][2;]? 2.79128784747792000329402359686400424 0.70710 67811 86547 52440  +0.70710 67811 86547 524 iSquare root of i 100px(1+i)/(sqrt 2)C A[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,,...]  [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,,...] i? 0.70710678118654752440084436210484903    + 0.70710678118654752440084436210484 i 0.80939 40205 40639 13071Alladi–Grinstead constant e^{(sum[k=2 to ∞] 
 |sum[n=1 to ∞] 
 {1/(n k^(n+1))})-1} [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 21706Sierpiński's constant 100px-Pi Log[Pi]+2 Pi 
 EulerGamma
+4 Pi Log
[Gamma[3/4]][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 47358Reciprocal of the Euler–Mascheroni constantReciprocal of the Euler–Mascheroni constant1/Integrate_ 
 {x=0 to 1} 
 -log(log(1/x))[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 43235Lebesgue constant (interpolation)100px1/3 + 2*sqrt(3)/piT[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 06105Silver root  Tutte–Beraha constant2+2 cos(2Pi/7)A[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 20505Euler Totient  constant100pxzeta(2)*zeta(3)
/zeta(6)[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 54191Fourth root of five(5(5(5(5(5(5(5) 
 ^1/5)^1/5)^1/5) 
 ^1/5)^1/5)^1/5) 
 ^1/5 ...A[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 97617Area of Ford circle 100pxpi 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 19151Zeta(4)Sum[n=1 to ∞]
{1/n^4}T[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. 100px(sqrt(17)-1)/2A[1;1,1,3,1,1,3,1,1,3,1,1,3,1,1,3,1,1,3,1,1,3,1,...]  [1;] 1.56155281280883027491070492798703851 9.86960 44010 89358 61883Pi Squared6 Sum[n=1 to ∞]
{1/n^2}TA002388[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 02596Plastic number100px(1+(1+(1+(1+(1+(1)
^(1/3))^(1/3))^(1/3))
^(1/3))^(1/3))^(1/3)A[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 90564Lévy 2 constantPi^(2)/(6*ln(2))T[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 26036Regular paperfolding sequence100px N[Sum[n=0 to ∞]
 {8^2^n/(2^2^ 
 (n+2)-1)},37][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 71685Cubic recurrence constantprod[n=1 to ∞]
{n ^(1/3)^n}[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 87419Fractal dimension of the Koch snowflake 100pxlog(4)/log(3)TA100831[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 97085Froda constant2^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 78375Meissel-Mertens constant100pxgamma+ 
 Sum[n=1 to ∞] 
 {ln(1-1/prime(n)) 
 +1/prime(n)}T ?[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 65547John constante^(π/2)T[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 iCube Root of 1100px1, 
 E^(2i pi/3), 
 E^(-2i pi/3)C A - [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, ] i - 0.5  ± 0.8660254037844386467637231707529 i   0.11000 10000 00000 00000 0001 Liouville numberSum[n=1 to ∞] 
 {10^(-n!)}T[1;9,1,999,10,9999999999999,1,9,999,1,9] 0.11000100000000000000000100... 0.06598 80358 45312 53707Lower limit of Tetration80px1/(e^e)[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 13255Tribonacci constant(1/3)*(1+(19+3 
 *sqrt(33))^(1/3) 
 +(19-3 
 *sqrt(33))^(1/3))A[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 32701Median of the Gumbel distribution100px-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 7709Pi^pipi^pi[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 18711Ioachimescu constantγ + N[
sum[n=1 to ∞] 
 {((-1)^(2n) 
 gamma_n)
/(2^n n!)}]2-[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 1897Exponential reiterated constant100pxSum[n=0 to ∞]
{(e^n)/n!}[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 30426Masser–Gramain constant Pi/4*(2*Gamma 
+ 2*Log[2]
 + 3*Log[Pi]- 4 
 Log[Gamma[1/4]]) [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 56175The ratio of a square and circle circumscribed100pxsum[n=1 to ∞]
{(-1)^(floor(
(n-1)/2))
/(2n-1)}T[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 67139Backhouse's constant1/(FindRoot[0 == 1 + 
Sum[x^n Prime[n], 
{n, 10000}], {x, {1}})[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 17036Gibbs constant100px  Sin integral SinIntegral[Pi][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 93137Copeland–Erdős constant sum[n=1 to ∞] 
 {prime(n) /(n+(10^ 
 sum[k=1 to n]{floor 
 (log_10 prime(k))}))}I[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 10627Fractal dimension of the boundary of the dragon curve100px(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 11177Grothendieck constantpi/(2 log(1+sqrt(2)))[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 18145Hausdorff dimension, Sierpinski triangle100px(Sum[n=0 to ∞] {1/
(2^(2n+1) (2n+1))})/ 
 (Sum[n=0 to ∞] {1/
(3^(2n+1) (2n+1))})T[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 69046Mills' constant primesNest[ NextPrime[#^3] &, 2, 7]^(1/3^8)[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 25004Figure eight knot hyperbolic volume100px 6 integral[0 to pi/3]
 {log(1/(2 sin (n)))}[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 073Hermite–Ramanujan constant e^(π sqrt(163))T[262537412640768743;1,1333462407511,1,8,1,1,5,...]1859 262537412640768743.999999999999250073  1.74540 56624 07346 86349Khinchin harmonic mean100pxa1 ... 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))}[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 14684Sqrt(e)Square root of the number eSum[n=0 to ∞]
{1/(2^n n!)}T[1;1,1,1,5,1,1,9,1,1,13,1,1,17,1,1,21,1,1,...]  = [1;1,], p∈ℕ 1.64872127070012814684865078781416357 1.01734 30619 84449 13971Zeta(6)100pxProd[n=1 to ∞]
{1/(1-ithprime
(n)^-6)} T[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 36151Trott constant [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 3844Chaitin constant40px : Halted program
 : Size in bits of program 
 : Domain of all programs that stop.T[0; 126, 1, 62, 5, 5, 3, 3, 21, 1, 4, 1]19750.0078749969978123844 0.83462 68416 74073 18628Gauss constant 
AGM = Arithmetic–geometric mean(4 sqrt(2)((1/4)!)^2)
/pi^(3/2)T[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 05028Ramanujan–Soldner constant100px li = Logarithmic integral 
 Ei = Exponential integralFindRoot[li(x) = 0]I[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 02618Cahen's constant 
 Where sk is the kth term of Sylvester's sequence 2, 3, 7, 43, 1807, ...
 Defined as: T[0; 1, 1, 1, 4, 9, 196, 16641, 639988804, ...]1891 0.64341054628833802618225430775756476  1.41421 35623 73095 04880Square root of 2, Pythagoras constant.100pxprod[n=1 to ∞] 
 {1+(-1)^(n+1) 
 /(2n-1)}A[1;2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,...] = [1;...] 1.41421356237309504880168872420969808  1.77245 38509 05516 02729Carlson–Levin constant sqrt (pi)T[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 26456Roots and powers of 2Musical interval between each half tone100px
100px(A = 440 Hz)2^(1/12)A[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 62502Gieseking constant  
.sqrt(3)*3/4 *(1
-Sum[n=0 to ∞]
{1/((3n+2)^2)}
+Sum[n=1 to ∞]
{1/((3n+1)^2)})[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 81046Lemniscate constant100px 4 sqrt(2/pi)
((1/4)!)^2T[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 63687Glaisher–Kinkelin constant e^(1/12-zeta´{-1})T ?[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 408Digamma (1/4)100px -EulerGamma 
-\pi/2 -3 log 2-[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 73410Strongly Carefree constant N[ prod[k=1 to ∞] 
 {1-(3*prime(k)-2) 
 /(prime(k)^3)}][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 31193Gamma(1/4)100px4(1/4)!T[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 12129Somos' quadratic recurrence constant prod[n=1 to ∞]
{n ^(1/2)^n}T ?[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 78163Magic angle100pxarctan(sqrt(2))T[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 98523Exp.gamma,  Barnes G-functionProd[n=1 to ∞]
{e^(1/n)}
/{1 + 1/n}[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 43517Rényi's Parking Constant100px 100px [e^(-2*Gamma)] 
*।nt{n,0,∞}[ e^(- 2
*Gamma(0,n)) /n^2][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 68615Ramanujan–Forsyth seriesSum[n=0 to ∞] 
 {[(2n-3)!! 
 /(2n)!!]^2}I[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 13365Steiner number, Iterated exponential Constant80px = Upper Limit of Tetratione^(1/e)T[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 35386Minimum value of función  ƒ(x) = xx =।nverse Steiner Number e^(-1/e)[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 14282Pólya Random walk constant100px1-16*Sqrt[2/3]*Pi^3 
/(Gamma[1/24]
*Gamma[5/24]
*Gamma[7/24]
*Gamma[11/24])[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 70695Bloch–Landau constantgamma(1/3)
*gamma(5/6)
/gamma(1/6)[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 12024MRB constantMRB Constant, Marvin Ray Burns100pxSum[n=1 to ∞]
{(-1)^n (n^(1/n)-1)} [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 47289Porter Constant  6*ln2/pi^2(3*ln2+ 
4 EulerGamma- 
WeierstrassZeta'(2) 
*24/pi^2-2)-1/2 [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 67185Feigenbaum constant δ100pxT[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 82228Feigenbaum constant α100pxT ?[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 87099Golomb–Dickman constantN[Int{n,0,1}[e^Li(n)],34][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 0057Gelfond constantSum[n=0 to ∞] 
 {(pi^n)/n!}T[23;7,9,3,1,1,591,2,9,1,2,34,1,16,1,30,1,...] 23.1406926327792690057290863679485474 7.38905 60989 30650 22723Conic constant, Schwarzschild constant100px Sum[n=0 to ∞]
{2^n/n!}T[7;2,1,1,3,18,5,1,1,6,30,8,1,1,9,42,11,1,...]= [7,2,], n = 3, 6, 9, etc. 7.38905609893065022723042746057500781  0.35323 63718 54995 98454Hafner–Sarnak–McCurley constant (1)prod[k=1 to ∞] 
{1-(1-prod[j=1 to n] 
{1-ithprime(k)^-j})^2} [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 62866Hafner–Sarnak–McCurley constant (2)Prod{n=1 to ∞}
(1-1/ithprime(n)^2) T[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 13141Champernowne constant100pxT[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 66299Landau-Ramanujan constantT ?[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 23536Number e, Euler's number100pxSum[n=0 to ∞]
{1/n!} 
(* lim_(n->∞) 
(1+1/n)^n *)T[2;1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,1,...]  = [2;], p∈ℕ 2.71828182845904523536028747135266250  0.36787 94411 71442 32159Inverse of Number eSum[n=2 to ∞]
{(-1)^n/n!}T[0;2,1,1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,...]  = [0;2,1,], p∈ℕ1618 0.36787944117144232159552377016146086  0.69034 71261 14964 31946Upper iterated exponential100px 2^-3^-4^-5^-6^ 
 -7^-8^-9^-10^ 
 -11^-12^-13 …[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  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 23846π number, Archimedes number100pxSum[n=0 to ∞]
{(-1)^n 4/(2n+1)} T[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[1; 1, 13, 24, 2, 1, 1, 3, 1, 1, 3]1.9287800...0.46364 76090 00806 11621Machin–Gregory series100pxSum[n=0 to ∞] 
{(-1)^n (1/2)^(2n+1)
/(2n+1)}I[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 98200Continued fraction constant, Bessel function(Sum [n=0 to ∞]
{n/(n!n!)}) /
(Sum [n=0 to ∞]
{1/(n!n!)})I[0;1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,...]  = [0;], p∈ℕ 0.69777465796400798200679059255175260  1.90216 05831 04Brun 2  constant = Σ inverse of Twin primes100px[1; 1, 9, 4, 1, 1, 8, 3, 4, 4, 2, 2]1.902160583104 0.87058 83799 75Brun 4  constant = Σ inv.prime quadruplets[0; 1, 6, 1, 2, 1, 2, 956, 3, 1, 1]0.870588379975 0.63661 97723 67581 34307
Buffon's constantBuffon constant100px Viète product2/PiT[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 07434Euler–Gompertz constantintegral[0 to ∞]
{(e^-n)/(1+n)}I[0;1,1,2,10,1,1,4,2,2,13,2,4,1,32,4,8,1,1,1,...] 0.59634736232319407434107849936927937   i ··· Imaginary number100pxsqrt(-1)C I 1501  to  1576 i 2.74723 82749 32304 33305Ramanujan nested radical(2+sqrt(5)
+sqrt(15
-6 sqrt(5)))/2A[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 87299Omega constant, Lambert W function100px Sum[n=1 to ∞]
{(-n)^(n-1)/n!}T[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 38048Beta(3) Sum[n=1 to ∞]
{(-1)^(n+1)
/(-1+2n)^3}T[0;1,31,4,1,18,21,1,1,2,1,2,1,3,6,3,28,1,...] 0.96894614625936938048363484584691860  2.23606 79774 99789 69640Square root of 5, Gauss sum100pxSum[k=0 to 4]
{e^(2k^2 pi i/5)}A[2;4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,...]  = [2;,...] 2.23606797749978969640917366873127624  3.35988 56662 43177 55317Prévost constant Reciprocal Fibonacci constantFn: Fibonacci seriesSum[n=1 to ∞]
{1/Fibonacci[n]}I[3;2,1,3,1,1,13,2,3,3,2,1,1,6,3,2,4,362,...]? 3.35988566624317755317201130291892717  Khinchin's constant100pxProd[n=1 to ∞] 
 {(1+1/(n(n+2))) 
 ^(ln(n)/ln(2))}T[2;1,2,5,1,1,2,1,1,3,10,2,1,3,2,24,1,3,2,...]1934 2.68545200106530644530971483548179569  

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 Steven Finch's page of mathematical constants
 Xavier Gourdon and Pascal Sebah's page of numbers, mathematical constants and algorithms

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