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 A355178 #29 Aug 02 2023 13:49:42 %S A355178 1,1,5,9,5,9,5,2,6,6,9,6,3,9,2,8,3,6,5,7,6,9,9,9,2,0,5,1,5,7,0,0,2,0, %T A355178 8,8,1,9,4,5,1,6,5,2,6,3,4,3,9,7,8,2,8,5,5,2,6,3,1,0,5,0,5,9,7,4,7,9, %U A355178 7,3,7,5,7,2,0,5,2,8,6,2,5,8,6,5,8,0,8,5,2,5 %N A355178 Decimal expansion of 2^(-2/3)/L, where L is the conjectured Landau's constant A081760. %H A355178 Markus Faulhuber, <a href="https://doi.org/10.1007/s11139-019-00224-2">An application of hypergeometric functions to heat kernels on rectangular and hexagonal tori and a "Weltkonstante"-or-how Ramanujan split temperatures</a>, The Ramanujan Journal volume 54, pages 1-27 (2021). See p. 23. %F A355178 Equals A002580*A357318. %F A355178 Equals A235362/A081760 = A235362*A175379/(A073005*A203145). %F A355178 Equals Sum_{k,m in Z^2} exp(-Pi*(2/sqrt(3))*(k^2+k*m+m^2)). %F A355178 From _Gerry Martens_, Jul 29 2023: (Start) %F A355178 Equals hypergeom([1/3, 2/3], [1], 1/2). %F A355178 Equals sqrt(Pi)/(Gamma(2/3)*Gamma(5/6)). (End) %e A355178 1.159595266963928365769992051570020881945... %t A355178 First[RealDigits[N[2^(1/3)*Gamma[1/6]/(2Gamma[1/3]Gamma[5/6]), 90]]] %Y A355178 Cf. A002580, A073005, A081760, A175379, A203145, A235362, A357318. %K A355178 nonn,cons %O A355178 1,3 %A A355178 _Stefano Spezia_, Sep 23 2022