This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A367842 #14 Dec 05 2023 01:43:47 %S A367842 1,2,3,4,5,6,0,1,9,5,3,9,7,9,9,8,9,7,3,8,1,7,4,1,8,5,3,0,0,7,8,2,7,1, %T A367842 8,9,4,7,4,4,3,7,2,7,7,0,9,3,9,5,6,3,0,2,4,7,5,6,6,9,9,2,0,8,2,3,4,5, %U A367842 7,0,6,5,4,7,1,9,5,1,8,4,1,7,2,4,6,9,9,4,8,6,3,9,0,2,6,4,1,9,3,5,0,8,6,0,4 %N A367842 Decimal expansion of limit_{n->oo} Product_{k=1..n} Gamma(k/n)^(k/n^2). %C A367842 Limit_{n->oo} Product_{k=1..n} Gamma(k/n)^(1/n) = sqrt(2*Pi). %F A367842 Equals (2*Pi)^(1/4) / A, where A = A074962 is the Glaisher-Kinkelin constant. %F A367842 Equals A010767 * A092040 / A074962. %F A367842 Equals exp(Integral_{x=0..1} x*log(Gamma(x)) dx). %e A367842 1.23456019539799897381741853007827189474437277093956302475669920823457... %t A367842 RealDigits[(2*Pi)^(1/4)/Glaisher, 10, 120][[1]] %t A367842 Exp[Integrate[x*Log[Gamma[x]], {x, 0, 1}]] %Y A367842 Cf. A010767, A092040, A074962, A367898, A367899. %K A367842 nonn,cons %O A367842 1,2 %A A367842 _Vaclav Kotesovec_, Dec 02 2023