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 A353895 #11 May 10 2022 11:39:56 %S A353895 1,0,0,0,0,0,20,210,1400,7560,36120,159390,850300,9875580,170133964, %T A353895 2688015330,36706233200,444802722000,4939264076016,52543545234534, %U A353895 583037908936500,7645631225897700,124931080233222340,2327407301807577066,44282377224446369800 %N A353895 Expansion of e.g.f. exp( (x * (exp(x) - 1))^3 / 36 ). %F A353895 a(n) = n! * Sum_{k=0..floor(n/6)} (3*k)! * Stirling2(n-3*k,3*k)/(36^k * k! * (n-3*k)!). %o A353895 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp((x*(exp(x)-1))^3/36))) %o A353895 (PARI) a(n) = n!*sum(k=0, n\6, (3*k)!*stirling(n-3*k, 3*k, 2)/(36^k*k!*(n-3*k)!)); %Y A353895 Cf. A052506, A353894, A353896. %Y A353895 Cf. A327504, A353884, A353892. %K A353895 nonn %O A353895 0,7 %A A353895 _Seiichi Manyama_, May 09 2022