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 A375716 #7 Aug 25 2024 09:58:30
%S A375716 1,0,0,0,4,10,20,35,3976,35364,205920,970365,37643980,670990606,
%T A375716 7705037704,69043474955,1690055888080,43135620048200,793592298255936,
%U A375716 11401734214307769,250361353418216340,7380072768323315410,187670442928777057480,3868359812089009616071
%N A375716 Expansion of e.g.f. 1 / (1 - x^3 * (exp(x) - 1))^(1/6).
%F A375716 a(n) = n! * Sum_{k=0..floor(n/4)} (Product_{j=0..k-1} (6*j+1)) * Stirling2(n-3*k,k)/(6^k*(n-3k)!).
%o A375716 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-x^3*(exp(x)-1))^(1/6)))
%o A375716 (PARI) a(n) = n!*sum(k=0, n\4, prod(j=0, k-1, 6*j+1)*stirling(n-3*k, k, 2)/(6^k*(n-3*k)!));
%Y A375716 Cf. A358014, A375717, A375718.
%K A375716 nonn
%O A375716 0,5
%A A375716 _Seiichi Manyama_, Aug 25 2024