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 A380156 #11 Jan 14 2025 02:31:18
%S A380156 1,1,10,127,2260,52165,1478098,49666267,1930817080,85253566825,
%T A380156 4214519350750,230609701370719,13837049296702228,903380930924784013,
%U A380156 63754235596937808874,4836352735401636409795,392451456493513697671792,33920902255644870783973201,3111255003645991777552833718
%N A380156 Expansion of e.g.f. 1/(1 - 3*x*exp(3*x))^(1/3).
%F A380156 a(n) = 3^n * n! * Sum_{k=0..n} (-1)^k * k^(n-k) * binomial(-1/3,k)/(n-k)!.
%F A380156 a(n) == 1 (mod 9).
%o A380156 (PARI) a(n) = 3^n*n!*sum(k=0, n, (-1)^k*k^(n-k)*binomial(-1/3, k)/(n-k)!);
%Y A380156 Cf. A006153, A380155.
%Y A380156 Cf. A380016, A380017.
%K A380156 nonn
%O A380156 0,3
%A A380156 _Seiichi Manyama_, Jan 13 2025