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 A355922 #16 Aug 06 2024 05:41:13 %S A355922 6,7,6,5,6,5,1,3,6,1,4,7,9,6,6,6,4,0,8,2,6,4,7,2,0,1,6,2,4,6,1,2,9,8, %T A355922 1,3,4,5,4,3,9,5,2,1,2,1,8,5,9,5,5,6,3,2,3,0,6,0,0,8,6,1,3,1,6,5,4,6, %U A355922 8,5,0,8,2,4,3,6,7,5,9,2,1,1,1,9,8,2,1 %N A355922 Decimal expansion of Sum_{k>=2} (1/k)*arctanh(1/k). %H A355922 Michael Ian Shamos, <a href="https://citeseerx.ist.psu.edu/pdf/ae33a269baba5e8b1038e719fb3209e8a00abec5">Shamos's Catalog of the Real Numbers</a>, 2011, p. 564. %F A355922 Equals Sum_{k>=2} arccoth(k)/k. %F A355922 Equals Sum_{k>=1} (zeta(2*k)-1)/(2*k-1). %F A355922 Equals log(Product_{k>=2} ((k+1)/(k-1))^(1/(2*k))). %e A355922 0.67656513614796664082647201... %t A355922 RealDigits[N[Sum[ArcTanh[1/k]/k, {k, 2, Infinity}], 30], 10, 26][[1]] (* _Amiram Eldar_, Jul 21 2022 *) %Y A355922 Cf. A016655, A355921, A355923. %K A355922 nonn,cons %O A355922 0,1 %A A355922 _Amiram Eldar_, Jul 21 2022 %E A355922 More terms from _Jinyuan Wang_, Jul 21 2022