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v(n+1)/v(n), where v=A203766.
2

%I #7 Jan 09 2013 03:56:57

%S 2,25,200,16900,304200,72250000,2312000000,1104760757776,

%T 55238037888800,44628759527040000,3213270685946880000,

%U 3948896391660025000000,386991846382682450000000,673918119287694361600000000

%N v(n+1)/v(n), where v=A203766.

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

%t f[j_] := Floor[(j + 1)/2]; z = 16;

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

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

%t Table[v[n], {n, 1, z}] (* A203766 *)

%t Table[v[n + 1]/v[n], {n, 1, z}] (* A203767 *)

%K nonn

%O 1,1

%A _Clark Kimberling_, Jan 05 2012