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 A344967 #10 Jun 04 2021 04:40:26 %S A344967 7,1,3,4,9,4,7,2,2,1,0,9,9,6,8,1,6,7,6,9,9,3,3,5,9,4,4,4,1,3,3,3,5,6, %T A344967 3,6,6,5,5,3,1,8,9,3,9,5,8,5,1,2,9,5,0,5,9,4,5,8,8,7,0,1,6,5,8,1,0,4, %U A344967 7,2,4,0,7,9,2,1,6,8,6,8,6,0,6,1,8,7,4 %N A344967 Decimal expansion of Sum_{k>=0} 1/(x_k^2 - 1), where x_k is the k-th zero of the digamma function. %C A344967 The zeros of the digamma function, i.e., the roots of psi(x) = 0 are x_0 = 1.461632... (A030169), the only positive root, x_1 = -0.504083... (A175472), etc. %H A344967 István Mező and Michael E. Hoffman, <a href="https://doi.org/10.1080/10652469.2017.1376193">Zeros of the digamma function and its Barnes G-function analogue</a>, Integral Transforms and Special Functions, Vol. 28, No. 11 (2017), pp. 846-858. %H A344967 Wikipedia, <a href="https://en.wikipedia.org/wiki/Digamma_function">Digamma function</a>. %F A344967 Equals Pi^2/(12*gamma) + gamma/2 - 1, where gamma is Euler's constant (A001620). %e A344967 0.71349472210996816769933594441333563665531893958512... %t A344967 RealDigits[Pi^2/(12*EulerGamma) + EulerGamma/2 - 1, 10, 100][[1]] %Y A344967 Cf. A344964, A344965, A344966, A344968. %Y A344967 Cf. A000796, A001620, A072691. %Y A344967 Cf. A030169, A175472, A175473, A175474, A256681, A256682, A256683, A256684, A256685, A256686, A256687. %K A344967 nonn,cons %O A344967 0,1 %A A344967 _Amiram Eldar_, Jun 03 2021