cp's OEIS Frontend

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.

A203676 v(n+1)/v(n), where v=A203675.

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%I A203676 #10 Nov 21 2023 09:03:23
%S A203676 13,4453,9674704,75224946901,1545474559060224,69549952010359093897,
%T A203676 6036862150681054978834432,921916957672242760231518256521,
%U A203676 231086778644984585535258936647680000
%N A203676 v(n+1)/v(n), where v=A203675.
%C A203676 See A093883 for a discussion and guide to related sequences.
%F A203676 a(n) ~ (2 + sqrt(3))^(sqrt(3)*(n+1)) * exp(Pi*(n+1)/2 - 4*n) * n^(4*n). - _Vaclav Kotesovec_, Nov 21 2023
%t A203676 f[j_] := j^2; z = 12;
%t A203676 u[n_] := Product[f[j]^2 - f[j] f[k] + f[k]^2,
%t A203676   {j, 1, k - 1}]
%t A203676 v[n_] := Product[u[n], {k, 2, n}]
%t A203676 Table[v[n], {n, 1, z}]          (* A203675 *)
%t A203676 Table[v[n + 1]/v[n], {n, 1, z}] (* A203676 *)
%t A203676 Table[Product[k^4 - k^2*(n+1)^2 + (n+1)^4, {k, 1, n}], {n, 1, 12}] (* _Vaclav Kotesovec_, Nov 21 2023 *)
%K A203676 nonn
%O A203676 1,1
%A A203676 _Clark Kimberling_, Jan 04 2012