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v(n+1)/v(n), where v=A203759.
2

%I #8 Jan 09 2013 03:56:13

%S 3,49,588,61009,1647243,473323536,22719529728,13058834917401,

%T 979412618805075,949149594515775744,102508156207703780352,

%U 150861990726485797358601,22176712636793412211714347

%N v(n+1)/v(n), where v=A203759.

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

%t f[j_] := Floor[(j + 1)/2]; z = 13;

%t u := Product[f[j]^2 + f[j] f[k] + f[k]^2, {j, 1, k - 1}]

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

%t Table[v[n], {n, 1, z}] (* A203759 *)

%t Table[v[n + 1]/v[n], {n, 1, z}] (* A203760 *)

%K nonn

%O 1,1

%A _Clark Kimberling_, Jan 05 2012