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 A351764 #11 Feb 19 2022 04:43:39 %S A351764 1,2,72,7848,1728000,641258850,360403076376,285818177146208, %T A351764 304172586944446464,418400927094822149970,722587619114932445325000, %U A351764 1530927286486636135080191736,3904621941927926455303092180480,11801667653769333351640692783069714 %N A351764 a(n) = [x^n] Product_{k=1..n} (1 + k*x)^n / (1 - k*x)^n. %F A351764 a(n) ~ exp(n + 1) * n^(2*n - 1/2) / sqrt(2*Pi). %t A351764 Table[SeriesCoefficient[Product[(1 + k*x)^n / (1 - k*x)^n, {k,1,n}], {x,0,n}], {n,0,20}] %o A351764 (PARI) a(n) = my(x='x+O(x^(n+1))); polcoef(prod(k=1, n, (1+k*x)^n/ (1-k*x)^n), n); \\ _Michel Marcus_, Feb 19 2022 %Y A351764 Cf. A350366, A351507, A351508. %K A351764 nonn %O A351764 0,2 %A A351764 _Vaclav Kotesovec_, Feb 18 2022