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 A357967 #9 Oct 22 2022 14:02:10 %S A357967 1,0,0,0,24,0,0,2520,20160,0,604800,19958400,79833600,259459200, %T A357967 25427001600,326918592000,1046139494400,44460928512000, %U A357967 1333827855360000,10306043229081600,125024130975744000,6386367771463680000,101695303941783552000,861733891296165888000 %N A357967 Expansion of e.g.f. exp( x * (exp(x^3) - 1) ). %F A357967 a(n) = n! * Sum_{k=0..floor(n/3)} Stirling2(k,n-3*k)/k!. %o A357967 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*(exp(x^3)-1)))) %o A357967 (PARI) a(n) = n!*sum(k=0, n\3, stirling(k, n-3*k, 2)/k!); %Y A357967 Cf. A357966, A357968. %Y A357967 Cf. A353227. %K A357967 nonn %O A357967 0,5 %A A357967 _Seiichi Manyama_, Oct 22 2022