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 A331239 #18 Feb 01 2020 02:07:48 %S A331239 6,0,9,2,1,5,1,5,0,4,5,2,4,4,9,2,2,8,7,3,0,4,7,3,3,7,1,3,4,9,1,6,6,0, %T A331239 5,1,1,1,8,3,9,3,9,2,2,8,5,6,5,9,9,9,7,3,5,7,8,7,2,0,3,1,3,8,1,9,5,6, %U A331239 7,5,6,0,2,5,4,2,6,7,1,2,2,7,6,1,2,3,0 %N A331239 Decimal expansion of Sum_{k>=0} (-1)^k/AGM(1, 1+k). %C A331239 AGM(x, y) is the arithmetic-geometric mean of Gauss and Legendre. %C A331239 This series is closely related to A188859 (Sum_{k>=0} (-1)^k/((1+(1+k))/2)) and A113024 (Sum_{k>=0} (-1)^k/sqrt(1+k)). The denominators of these alternating series differ by being arithmetic, geometric, or arithmetic-geometric means of 1 and k. %e A331239 0.6092151504524492287304733713491660511183939228565999735... %o A331239 (PARI) sumalt(k=0, (-1)^k/agm(1,1+k)) %Y A331239 Cf. A016627, A188859, A113024. %K A331239 nonn,cons %O A331239 0,1 %A A331239 _Daniel Hoyt_, Jan 13 2020