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 A375628 #9 Aug 22 2024 09:17:14
%S A375628 1,1,2,18,96,600,5760,57960,645120,8285760,117936000,1842825600,
%T A375628 31374604800,578334556800,11493004723200,244720360684800,
%U A375628 5555523785011200,134002274473267200,3422904611167641600,92290617116425728000,2619214995575033856000
%N A375628 Expansion of e.g.f. exp(2*x^3) / (1 - x * exp(x^3)).
%F A375628 a(n) = n! * Sum_{k=0..floor(n/3)} (n-3*k+2)^k/k!.
%o A375628 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(2*x^3)/(1-x*exp(x^3))))
%o A375628 (PARI) a(n) = n!*sum(k=0, n\3, (n-3*k+2)^k/k!);
%Y A375628 Cf. A368265, A375627.
%Y A375628 Cf. A358065, A375607.
%K A375628 nonn
%O A375628 0,3
%A A375628 _Seiichi Manyama_, Aug 21 2024