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 A373562 #9 Jun 10 2024 08:06:45 %S A373562 0,3,2,6,0,9,2,6,1,7,0,9,0,2,7,2,0,2,9,0,8,1,1,2,4,3,6,0,2,7,1,5,8,5, %T A373562 8,4,6,2,7,9,3,1,4,0,3,7,0,0,9,6,4,1,0,5,0,7,3,3,2,9,4,2,5,4,5,1,6,0, %U A373562 1,5,1,3,5,5,4,8,7,6,0,3,6,6,2,1,2,4,6,4,4,0,4,5,7,9,3,8,0,5,9,1,5,4,0,1,9,3 %N A373562 Decimal expansion of Sum_{k>=0} (-1)^(k+1)*( log(2k+1)/(2k+1) + log(2k+2)/(2k+2) ). %F A373562 Equals A078127 - A366349. %e A373562 0.03260926170902720290811243602... %t A373562 RealDigits[Pi*(EulerGamma + 2*Log[2] + 3*Log[Pi] - 4*Log[Gamma[1/4]])/4 - (3 Log[2]^2 - 2 EulerGamma Log[2])/4, 10, 120, -1][[1]] (* _Amiram Eldar_, Jun 10 2024 *) %Y A373562 Cf. A091812, A078127, A366349. %K A373562 nonn,cons %O A373562 0,2 %A A373562 _R. J. Mathar_, Jun 10 2024