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 A382984 #9 Apr 20 2025 08:40:48
%S A382984 0,0,0,1,22,445,9605,227969,5974388,172323696,5441287980,187011672276,
%T A382984 6957458412520,278765196526024,11973706678705408,549052544309039744,
%U A382984 26777325537157361024,1384271732837081576576,75622395021091990225152,4353640204459556218940160
%N A382984 Coefficient of x^3 in expansion of (x+1) * (x+4) * ... * (x+3*n-2).
%F A382984 a(n) = Sum_{k=3..n} 3^(n-k) * binomial(k,3) * |Stirling1(n,k)|.
%F A382984 E.g.f.: f(x) * log(f(x))^3 / 6, where f(x) = 1/(1 - 3*x)^(1/3).
%o A382984 (PARI) a(n) = polcoef(prod(k=0, n-1, x+3*k+1), 3);
%Y A382984 Column k=3 of A286718.
%Y A382984 Cf. A028340.
%K A382984 nonn
%O A382984 0,5
%A A382984 _Seiichi Manyama_, Apr 20 2025