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 A380051 #7 Jan 11 2025 10:26:28
%S A380051 1,1,2,1,-12,-15,526,1617,-49608,-302111,8126010,85724001,-2020009628,
%T A380051 -34232466255,696686324166,18267485751985,-310973114236944,
%U A380051 -12533263924965183,168118610439268594,10727427541319225793,-100693940482485604260,-11178369799980253348079
%N A380051 E.g.f. A(x) satisfies A(x) = ( 1 + 3*x*exp(x)*A(x) )^(1/3).
%F A380051 a(n) = n! * Sum_{k=0..n} 3^k * k^(n-k) * binomial(k/3+1/3,k)/( (k+1)*(n-k)! ).
%o A380051 (PARI) a(n) = n!*sum(k=0, n, 3^k*k^(n-k)*binomial(k/3+1/3, k)/((k+1)*(n-k)!));
%Y A380051 Cf. A006153, A380050.
%Y A380051 Cf. A380047.
%K A380051 sign
%O A380051 0,3
%A A380051 _Seiichi Manyama_, Jan 11 2025