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 A375663 #11 Sep 01 2024 09:35:39
%S A375663 1,0,0,18,36,60,4410,30366,141288,4173336,56307150,504947850,
%T A375663 10795641516,209176625268,2958760573314,60807476490390,
%U A375663 1419440085948240,27655117897680816,621153635750802198,16250306025184563330,396542042830732066260,10152940698142734694860
%N A375663 Expansion of e.g.f. 1 / (1 - x^2 * (exp(x) - 1))^3.
%F A375663 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A358013.
%F A375663 a(n) = (n!/2) * Sum_{k=0..floor(n/3)} (k+2)! * Stirling2(n-2*k,k)/(n-2*k)!.
%o A375663 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-x^2*(exp(x)-1))^3))
%o A375663 (PARI) a(n) = n!*sum(k=0, n\3, (k+2)!*stirling(n-2*k, k, 2)/(n-2*k)!)/2;
%Y A375663 Cf. A358013, A375662.
%K A375663 nonn
%O A375663 0,4
%A A375663 _Seiichi Manyama_, Aug 23 2024