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A202945 v(n+1)/v(n), where v=A203773.

%I A202945 #12 Jan 09 2013 04:02:13
%S A202945 1,2,100,800,152100,2737800,1156000000,36992000000,27619018944400,
%T A202945 1380950947220000,1606635342973440000,115677744694087680000,
%U A202945 193495923191341225000000,18962600472751440050000000
%N A202945 v(n+1)/v(n), where v=A203773.
%C A202945 See A093883 for a discussion and guide to related sequences.
%t A202945 f[j_] := Floor[j/2]; z = 20;
%t A202945 u := Product[f[j]^2 + f[k]^2, {j, 1, k - 1}]
%t A202945 v[n_] := Product[u, {k, 2, n}]
%t A202945 Table[v[n], {n, 1, z}]         (* A203773 *)
%t A202945 Table[v[n + 1]/v[n], {n, 1, z}]  (* A202945 *)
%t A202945 Table[Sqrt[v[n + 1]/v[n]], {n, 1, z}]
%t A202945 Table[Sqrt[v[2 n]/v[2 n - 1]], {n, 1, z}]  (* A203774 *)
%t A202945 Table[Sqrt[v[2 n + 1]/(2 v[2 n])],
%t A202945    {n, 1, z}]  (* A203775 *)
%t A202945 %/%%          (* A000027 *)
%K A202945 nonn
%O A202945 1,2
%A A202945 _Clark Kimberling_, Jan 05 2012