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 A375592 #11 Aug 20 2024 09:14:24
%S A375592 1,0,0,0,4,0,0,70,560,0,2800,92400,369600,200200,19619600,252252000,
%T A375592 695094400,5717712000,171531360000,1307259553600,4852431584000,
%U A375592 136882025280000,2175699958432000,12698089211808000,150837908212992000,3848134863773200000
%N A375592 Expansion of e.g.f. exp( x * (exp(x^3/6) - 1) ).
%F A375592 a(n) = n! * Sum_{k=0..floor(n/3)} Stirling2(k,n-3*k)/(6^k*k!).
%o A375592 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*(exp(x^3/6)-1))))
%o A375592 (PARI) a(n) = n!*sum(k=0, n\3, stirling(k, n-3*k, 2)/(6^k*k!));
%Y A375592 Cf. A052506, A375591.
%Y A375592 Cf. A357967, A375587.
%K A375592 nonn
%O A375592 0,5
%A A375592 _Seiichi Manyama_, Aug 19 2024