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 A365058 #8 Aug 19 2023 19:05:07
%S A365058 1,1,8,130,3250,110336,4744984,247321096,15155937500,1067967873280,
%T A365058 85084447796416,7562971176299936,742055168686622872,
%U A365058 79662784245760000000,9288538211005096189280,1168938868353871429273216,157924822350438542185141264
%N A365058 E.g.f. satisfies A(x) = exp(x * A(x)^3 * (1 + x/2 * A(x)^3)).
%F A365058 a(n) = n! * Sum_{k=0..n} (1/2)^(n-k) * (3*n+1)^(k-1) * binomial(k,n-k)/k!.
%o A365058 (PARI) a(n) = n!*sum(k=0, n, (1/2)^(n-k)*(3*n+1)^(k-1)*binomial(k, n-k)/k!);
%Y A365058 Cf. A091485, A365057.
%Y A365058 Cf. A363479.
%K A365058 nonn
%O A365058 0,3
%A A365058 _Seiichi Manyama_, Aug 19 2023