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 A375696 #10 Aug 25 2024 09:58:02
%S A375696 1,0,2,3,52,245,4206,37807,712552,9755433,207915490,3830073731,
%T A375696 92948571420,2139142283005,58945940093782,1617324856023255,
%U A375696 50252559901690576,1593701025177559121,55366628370374688714,1986560560083994301611
%N A375696 Expansion of e.g.f. 1 / (1 - 3 * x * (exp(x) - 1))^(1/3).
%F A375696 a(n) = n! * Sum_{k=0..floor(n/2)} (Product_{j=0..k-1} (3*j+1)) * Stirling2(n-k,k)/(n-k)!.
%o A375696 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1-3*x*(exp(x)-1))^(1/3)))
%o A375696 (PARI) a(n) = n!*sum(k=0, n\2, prod(j=0, k-1, 3*j+1)*stirling(n-k, k, 2)/(n-k)!);
%Y A375696 Cf. A367881, A375697.
%Y A375696 Cf. A375688.
%K A375696 nonn
%O A375696 0,3
%A A375696 _Seiichi Manyama_, Aug 24 2024