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 A364979 #8 Aug 15 2023 07:41:57 %S A364979 1,1,2,21,220,3545,70566,1702267,48438104,1582227873,58475787850, %T A364979 2410935939731,109728296017572,5464423604085745,295562179335075758, %U A364979 17255009243888243115,1081438061864539992496,72422934220506772042817,5161269584065131270532242 %N A364979 E.g.f. satisfies A(x) = 1 + x*exp(x*A(x)^3). %F A364979 a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(3*n-3*k+1,k)/( (3*n-3*k+1)*(n-k)! ). %o A364979 (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(3*n-3*k+1, k)/((3*n-3*k+1)*(n-k)!)); %Y A364979 Cf. A161631, A364978. %K A364979 nonn %O A364979 0,3 %A A364979 _Seiichi Manyama_, Aug 15 2023