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 A344965 #12 Jun 04 2021 04:40:12 %S A344965 7,8,4,8,9,8,8,2,6,2,8,0,4,5,0,6,3,0,4,8,9,8,8,3,7,3,2,7,1,6,0,5,5,0, %T A344965 6,7,1,1,0,1,6,4,1,2,7,9,1,1,6,3,8,0,3,2,9,2,3,2,5,3,0,0,3,4,9,8,6,4, %U A344965 6,7,5,0,5,8,0,6,0,1,0,3,4,4,2,7,6,1,6 %N A344965 Decimal expansion of the sum of the reciprocals of the cubes of the zeros of the digamma function (negated). %C A344965 The sum is Sum_{k>=0} 1/x_k^3, where x_k is the k-th zero of the digamma function, i.e., root of psi(x) = 0: x_0 = 1.461632... (A030169) is the only positive root, x_1 = -0.504083... (A175472), etc. %H A344965 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 A344965 Wikipedia, <a href="https://en.wikipedia.org/wiki/Digamma_function">Digamma function</a>. %F A344965 Equals -gamma*Pi^2/2 - 4*zeta(3) - gamma^3, where gamma is Euler's constant (A001620). %e A344965 -7.84898826280450630489883732716055067110164127911638... %t A344965 RealDigits[EulerGamma*Pi^2/2 + 4*Zeta[3] + EulerGamma^3, 10, 100][[1]] %Y A344965 Cf. A344964, A344966, A344967, A344968. %Y A344965 Cf. A001620, A002117, A102753. %Y A344965 Cf. A030169, A175472, A175473, A175474, A256681, A256682, A256683, A256684, A256685, A256686, A256687. %K A344965 nonn,cons %O A344965 1,1 %A A344965 _Amiram Eldar_, Jun 03 2021