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 A357966 #14 Oct 22 2022 14:02:14 %S A357966 1,0,0,6,0,60,360,840,20160,75600,1058400,10311840,79833600, %T A357966 1305944640,11018367360,174616041600,2150397849600,28661419987200, %U A357966 473667677683200,6293779652160000,114484773731328000,1766543101087564800,31640707215390873600 %N A357966 Expansion of e.g.f. exp( x * (exp(x^2) - 1) ). %F A357966 a(n) = n! * Sum_{k=0..floor(n/2)} Stirling2(k,n-2*k)/k!. %o A357966 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*(exp(x^2)-1)))) %o A357966 (PARI) a(n) = n!*sum(k=0, n\2, stirling(k, n-2*k, 2)/k!); %Y A357966 Cf. A357967, A357968. %Y A357966 Cf. A353226. %K A357966 nonn %O A357966 0,4 %A A357966 _Seiichi Manyama_, Oct 22 2022