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 A364986 #12 Aug 15 2023 11:58:13 %S A364986 1,1,8,129,3196,107465,4575966,236120059,14322901832,998966928897, %T A364986 78770826493210,6929685905371691,672900446143476156, %U A364986 71491442785783506577,8249400210035835040022,1027394346436911560475915,137360293432089585554830096 %N A364986 E.g.f. satisfies A(x) = 1 + x*A(x)^3*exp(x*A(x)^3). %F A364986 a(n) = (n!/(3*n+1)) * Sum_{k=0..n} k^(n-k) * binomial(3*n+1,k)/(n-k)!. %o A364986 (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(3*n+1, k)/(n-k)!)/(3*n+1); %Y A364986 Cf. A364983, A364984, A364985. %Y A364986 Cf. A161633, A364982, A364989. %Y A364986 Cf. A002293. %K A364986 nonn %O A364986 0,3 %A A364986 _Seiichi Manyama_, Aug 15 2023