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 A365319 #25 Mar 28 2025 02:10:32 %S A365319 6,4,1,7,3,9,3,7,2,7,8,4,7,5,5,3,2,1,5,3,8,7,3,4,3,8,8,4,1,2,2,1,4,0, %T A365319 3,6,1,6,8,9,2,2,9,9,1,1,6,5,3,1,6,5,9,4,0,0,8,9,4,8,4,7,6,9,3,9,8,9, %U A365319 0,1,3,5,5,2,9,0,3,7,4,6,4,4,2,4,7,9,5,6,1,5,3,3,8,9,0,7,4,7,1,9,8,8,9,2,5,5 %N A365319 Decimal expansion of abs(Gamma(exp(i*Pi/3))). %C A365319 Also abs(Gamma(exp(i*2*Pi/3))). %C A365319 For real part of Gamma(exp(i*Pi/3)) see A365317. %C A365319 For negative imaginary part of Gamma(exp(i*Pi/3)) see A365318. %H A365319 Juan Arias de Reyna and Jan van de Lune, <a href="https://arxiv.org/abs/1305.3844">On the exact location of the non-trivial zeros of Riemann's zeta function</a>, arXiv:1305.3844 [math.NT], 2013, formula (4). %F A365319 Equals sqrt(Pi/cosh(Pi*sqrt(3)/2)). %F A365319 Equals 1/sqrt(3*A109219). %e A365319 0.641739372784755... %t A365319 RealDigits[Abs[Gamma[Cos[Pi/3] + I Sin[Pi/3]]], 10, 106][[1]] %t A365319 (* or *) %t A365319 RealDigits[Sqrt[Pi/Cosh[Pi Sqrt[3]/2]], 10, 106][[1]] %o A365319 (PARI) abs(gamma(exp(I*Pi/3))) \\ _Michel Marcus_, Sep 01 2023 %Y A365319 Cf. A109219, A212877, A212878, A212879, A212880, A365317, A365318. %K A365319 nonn,cons %O A365319 0,1 %A A365319 _Artur Jasinski_, Sep 01 2023