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 A357968 #10 Oct 22 2022 14:02:07 %S A357968 1,0,0,0,0,120,0,0,0,181440,1814400,0,0,1037836800,43589145600, %T A357968 217945728000,0,14820309504000,1867358997504000,30411275102208000, %U A357968 101370917007360000,425757851430912000,140500090972200960000,5385836820601036800000 %N A357968 Expansion of e.g.f. exp( x * (exp(x^4) - 1) ). %F A357968 a(n) = n! * Sum_{k=0..floor(n/4)} Stirling2(k,n-4*k)/k!. %o A357968 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*(exp(x^4)-1)))) %o A357968 (PARI) a(n) = n!*sum(k=0, n\4, stirling(k, n-4*k, 2)/k!); %Y A357968 Cf. A357966, A357967. %K A357968 nonn %O A357968 0,6 %A A357968 _Seiichi Manyama_, Oct 22 2022