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 A353896 #11 May 10 2022 11:39:26 %S A353896 1,0,0,0,0,0,0,0,70,1260,13650,115500,841995,5555550,34139105, %T A353896 198948750,1144463320,8171563400,112204064700,2364061354200, %U A353896 49912312090845,951208121086650,16403948060775275,260328078068154250,3860274855288458376,54182965918066177500 %N A353896 Expansion of e.g.f. exp( (x * (exp(x) - 1))^4 / 576 ). %F A353896 a(n) = n! * Sum_{k=0..floor(n/8)} (4*k)! * Stirling2(n-4*k,4*k)/(576^k * k! * (n-4*k)!). %o A353896 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp((x*(exp(x)-1))^4/576))) %o A353896 (PARI) a(n) = n!*sum(k=0, n\8, (4*k)!*stirling(n-4*k, 4*k, 2)/(576^k*k!*(n-4*k)!)); %Y A353896 Cf. A052506, A353894, A353895. %Y A353896 Cf. A327505, A353885, A353893. %K A353896 nonn %O A353896 0,9 %A A353896 _Seiichi Manyama_, May 09 2022