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 A348372 #5 Oct 16 2021 06:13:28 %S A348372 8,8,6,7,0,9,5,8,0,1,2,8,3,4,9,1,0,5,4,8,2,1,5,8,0,4,6,8,2,7,0,4,3,7, %T A348372 1,1,9,3,0,2,7,6,2,3,2,3,5,7,8,0,1,5,0,8,7,7,3,8,3,8,8,8,7,3,1,5,6,5, %U A348372 9,9,2,6,6,1,2,8,8,6,6,9,1,3,5,5,1,3,6,9,0,1,2,3,5,7,2,5,0,6,5,5,2,7,7,9,9 %N A348372 Decimal expansion of Sum_{k>=2} H(k)*H(k+1)/(k^3-k), where H(k) = A001008(k)/A002805(k) is the k-th harmonic number. %H A348372 Ovidiu Furdui and Alina Sȋntămărian, <a href="https://doi.org/10.1080/00029890.2018.1483682">Problem 12060</a>, The American Mathematical Monthly, Vol. 125, No. 7 (2018), p. 661; <a href="https://doi.org/10.1080/00029890.2020.1705076">Summation by Parts and an Euler Sum</a>, Solution to Problem 12060 by Omran Kouba, ibid., Vol. 127, No. 3 (2020), pp. 274-282. %F A348372 Equals 5/2 - Pi^2/24 - zeta(3). %e A348372 0.88670958012834910548215804682704371193027623235780... %t A348372 RealDigits[5/2 - Pi^2/24 - Zeta[3], 10, 100][[1]] %Y A348372 Cf. A001008, A002805, A002117, A222171. %K A348372 nonn,cons %O A348372 0,1 %A A348372 _Amiram Eldar_, Oct 15 2021