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 A375697 #8 Aug 25 2024 09:58:08
%S A375697 1,0,4,6,128,610,11712,107114,2167776,30285378,678296720,12761459722,
%T A375697 321364284144,7550564959106,214210299545088,5993932335381930,
%U A375697 190756625697021632,6161493279498219394,218469987108304908336,7972839360644407925258
%N A375697 Expansion of e.g.f. 1 / (1 - 3 * x * (exp(x) - 1))^(2/3).
%F A375697 a(n) = n! * Sum_{k=0..floor(n/2)} (Product_{j=0..k-1} (3*j+2)) * Stirling2(n-k,k)/(n-k)!.
%o A375697 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1-3*x*(exp(x)-1))^(2/3)))
%o A375697 (PARI) a(n) = n!*sum(k=0, n\2, prod(j=0, k-1, 3*j+2)*stirling(n-k, k, 2)/(n-k)!);
%Y A375697 Cf. A367881, A375696.
%Y A375697 Cf. A375689.
%K A375697 nonn
%O A375697 0,3
%A A375697 _Seiichi Manyama_, Aug 24 2024