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 A383767 #28 May 14 2025 10:05:59
%S A383767 1,0,2,42,1152,40520,1751850,90087522,5376546560,365487900192,
%T A383767 27886922161650,2360357986720250,219495753481590432,
%U A383767 22246783602163580616,2440974108105319141082,288270640787372104920450,36459004369727317927680000,4916744437454382604092493952,704282170015570676249171941218
%N A383767 a(n) = [x^n] Product_{k=0..n-1} (1 + k*x)/(1 - k*x).
%F A383767 a(n) = Sum_{k=0..n} |Stirling1(n,k)| * Stirling2(k+n-1,n-1) for n > 0.
%o A383767 (PARI) a(n) = polcoef(prod(k=0, n-1, (1+k*x)/(1-k*x)+x*O(x^n)), n);
%Y A383767 Cf. A350366.
%K A383767 nonn
%O A383767 0,3
%A A383767 _Seiichi Manyama_, May 14 2025