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A203676 v(n+1)/v(n), where v=A203675. 2

%I #10 Nov 21 2023 09:03:23

%S 13,4453,9674704,75224946901,1545474559060224,69549952010359093897,

%T 6036862150681054978834432,921916957672242760231518256521,

%U 231086778644984585535258936647680000

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

%C See A093883 for a discussion and guide to related sequences.

%F 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 f[j_] := j^2; z = 12;

%t u[n_] := Product[f[j]^2 - f[j] f[k] + f[k]^2,

%t {j, 1, k - 1}]

%t v[n_] := Product[u[n], {k, 2, n}]

%t Table[v[n], {n, 1, z}] (* A203675 *)

%t Table[v[n + 1]/v[n], {n, 1, z}] (* A203676 *)

%t Table[Product[k^4 - k^2*(n+1)^2 + (n+1)^4, {k, 1, n}], {n, 1, 12}] (* _Vaclav Kotesovec_, Nov 21 2023 *)

%K nonn

%O 1,1

%A _Clark Kimberling_, Jan 04 2012

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Last modified February 29 11:59 EST 2024. Contains 370425 sequences. (Running on oeis4.)