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 A365175 #12 Aug 25 2023 09:43:02
%S A365175 1,1,10,189,5476,215145,10701006,644909503,45687408712,3721382812305,
%T A365175 342689189598010,35206864089944151,3992473080042706524,
%U A365175 495361299387667990537,66752437447119717428422,9708649781691227748131535,1515863453268825963300368656
%N A365175 E.g.f. satisfies A(x) = 1 + x*A(x)^4*exp(x*A(x)).
%F A365175 a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(n+3*k+1,k)/( (n+3*k+1)*(n-k)! ).
%o A365175 (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(n+3*k+1, k)/((n+3*k+1)*(n-k)!));
%Y A365175 Cf. A364987, A364989, A365176, A365177.
%Y A365175 Cf. A161633, A213644, A364984.
%K A365175 nonn
%O A365175 0,3
%A A365175 _Seiichi Manyama_, Aug 25 2023