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 A364984 #7 Aug 15 2023 07:45:24 %S A364984 1,1,8,117,2596,77705,2936406,134228059,7204913528,444331053873, %T A364984 30963240318250,2406301353714731,206354828717754036, %U A364984 19357367027097743449,1971809610601104110942,216754216326949771274715,25575749384428387961718256,3224227609551980271408565985 %N A364984 E.g.f. satisfies A(x) = 1 + x*A(x)^3*exp(x*A(x)). %F A364984 a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(n+2*k+1,k)/( (n+2*k+1)*(n-k)! ). %o A364984 (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(n+2*k+1, k)/((n+2*k+1)*(n-k)!)); %Y A364984 Cf. A364983, A364985, A364986. %Y A364984 Cf. A108447. %K A364984 nonn %O A364984 0,3 %A A364984 _Seiichi Manyama_, Aug 15 2023