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 A379942 #14 Jan 07 2025 08:44:59
%S A379942 1,6,45,411,4449,55803,796581,12757503,226588257,4420898595,
%T A379942 94001021589,2163619250895,53598352999905,1421924243354787,
%U A379942 40221778417553637,1208471542554184767,38434396264371831873,1289995362325669726659,45567027291743788320405
%N A379942 Expansion of e.g.f. 1/( exp(-x) - x )^3.
%F A379942 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A072597.
%F A379942 a(n) = n! * Sum_{k=0..n} (k+3)^(n-k) * binomial(k+2,2)/(n-k)!.
%o A379942 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(exp(-x)-x)^3))
%o A379942 (PARI) a(n) = n!*sum(k=0, n, (k+3)^(n-k)*binomial(k+2, 2)/(n-k)!);
%Y A379942 Cf. A072597, A379933, A379943.
%Y A379942 Cf. A377530.
%K A379942 nonn
%O A379942 0,2
%A A379942 _Seiichi Manyama_, Jan 07 2025