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 A384029 #10 May 17 2025 14:00:56
%S A384029 1,0,6,180,7206,370880,23477380,1768061064,154544373158,
%T A384029 15387101825184,1719596420272980,213181689525888600,
%U A384029 29036623040055512332,4310582688852993653568,692756995680614782818992,119830419866883597939018000,22198322332579642585088580870,4384714751330840129324051474880
%N A384029 a(n) = [x^n] Product_{k=0..n-1} (1 + k*x)^4.
%F A384029 a(n) = Sum_{0<=i, j, k, l<=n and i+j+k+l=3*n} |Stirling1(n,i) * Stirling1(n,j) * Stirling1(n,k) * Stirling1(n,l)|.
%o A384029 (PARI) a(n) = sum(i=0, n, sum(j=0, 3*n-i, sum(k=0, 3*n-i-j, abs(stirling(n, i, 1)*stirling(n, j, 1)*stirling(n, k, 1)*stirling(n, 3*n-i-j-k, 1)))));
%Y A384029 Cf. A342111, A384018.
%Y A384029 Cf. A384027, A384030.
%Y A384029 Cf. A384031.
%K A384029 nonn
%O A384029 0,3
%A A384029 _Seiichi Manyama_, May 17 2025