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 A376523 #8 Sep 27 2024 05:20:52 %S A376523 0,1,32,2187,286720,64796875,23279477760,12506434235113, %T A376523 9582123576983552,10084099499408154825,14139206937856000000000, %U A376523 25756714724499975610869475,59683270195198565091221962752,172781591936242461223503558613507,615312169743368293769528795463680000 %N A376523 a(n) = Product_{k=0..n} (k^3 + n - k). %F A376523 a(n) ~ exp(2*Pi*n^(1/3)/sqrt(3) - 3*n) * n^(3*n+2) * (1 - 2*Pi/(3^(3/2)*n^(1/3)) + 2*Pi^2/(27*n^(2/3)) + (27/40 - 4*Pi^3/(243*sqrt(3)))/n). %p A376523 A376523 := proc(n) %p A376523 mul(k^3+n-k,k=0..n) ; %p A376523 end proc: %p A376523 seq(A376523(n),n=0..20) ; # _R. J. Mathar_, Sep 27 2024 %t A376523 Table[Product[k^3+n-k, {k, 0, n}], {n, 0, 16}] %Y A376523 Cf. A323541, A374881, A374886, A376524. %K A376523 nonn %O A376523 0,3 %A A376523 _Vaclav Kotesovec_, Sep 26 2024