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 A382985 #9 Apr 20 2025 08:40:44
%S A382985 0,0,0,0,1,35,1005,28700,859369,27458613,941164860,34617398640,
%T A382985 1364003226036,57425577775852,2575788307560104,122732603903789880,
%U A382985 6194752323883374224,330320189407442698000,18560921582024101872576,1096473082032417593216832
%N A382985 Coefficient of x^4 in expansion of (x+1) * (x+4) * ... * (x+3*n-2).
%F A382985 a(n) = Sum_{k=4..n} 3^(n-k) * binomial(k,4) * |Stirling1(n,k)|.
%F A382985 E.g.f.: f(x) * log(f(x))^4 / 24, where f(x) = 1/(1 - 3*x)^(1/3).
%o A382985 (PARI) a(n) = polcoef(prod(k=0, n-1, x+3*k+1), 4);
%Y A382985 Column k=4 of A286718.
%Y A382985 Cf. A028341.
%K A382985 nonn
%O A382985 0,6
%A A382985 _Seiichi Manyama_, Apr 20 2025