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 A363358 #14 Aug 17 2023 08:16:12 %S A363358 1,1,7,91,1809,48521,1643863,67381875,3243606817,179405231761, %T A363358 11213025902631,781604862035339,60120379931640625,5058593367221610009, %U A363358 462199816484860893559,45574025454771003821731,4823543138131670132557377,545448517762149418525390625 %N A363358 E.g.f. satisfies A(x) = exp(x * A(x)^2 * (1 + x * A(x)^2)). %F A363358 a(n) = n! * Sum_{k=0..n} (2*n+1)^(k-1) * binomial(k,n-k)/k!. %o A363358 (PARI) a(n) = n!*sum(k=0, n, (2*n+1)^(k-1)*binomial(k, n-k)/k!); %Y A363358 Cf. A362773, A363357. %Y A363358 Cf. A088695, A363479. %Y A363358 Cf. A361093. %K A363358 nonn %O A363358 0,3 %A A363358 _Seiichi Manyama_, Aug 17 2023