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 A203674 #10 Nov 21 2023 08:55:48 %S A203674 21,12103,44121168,575304812901,19818489356999424, %T A203674 1495407279639510367299,217630534895386228374700032, %U A203674 55724004016139059166321636355657,23418841212903851059972098439618560000 %N A203674 v(n+1)/v(n), where v=A203673. %C A203674 See A093883 for a discussion and guide to related sequences. %F A203674 a(n) ~ 3^(3*n/2 + 1) * exp(sqrt(3)*Pi*(n+1)/2 - 4*n) * n^(4*n). - _Vaclav Kotesovec_, Nov 21 2023 %t A203674 f[j_] := j^2; z = 12; %t A203674 u[n_] := Product[f[j]^2 + f[j] f[k] + f[k]^2, %t A203674 {j, 1, k - 1}] %t A203674 v[n_] := Product[u[n], {k, 2, n}] %t A203674 Table[v[n], {n, 1, z}] (* A203673 *) %t A203674 Table[v[n + 1]/v[n], {n, 1, z}] (* A203674 *) %t A203674 Table[Product[k^4 + k^2*(n+1)^2 + (n+1)^4, {k, 1, n}], {n, 1, 12}] (* _Vaclav Kotesovec_, Nov 21 2023 *) %K A203674 nonn %O A203674 1,1 %A A203674 _Clark Kimberling_, Jan 04 2012