%I #7 Jan 14 2013 07:51:04
%S 1,9,36,2401,21609,4112784,65804544,25344958401,633623960025,
%T 413815190632704,14897346862777344,14823103693846716801,
%U 726332080998489123249,1025131531800200888254464,65608418035212856848285696
%N v(n+1)/v(n), where v=A203763.
%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[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}] (* A203763 *)
%t Table[v[n + 1]/v[n], {n, 1, z}] (* A203764 *)
%t Table[Sqrt[v[n + 1]/v[n]], {n, 1, 20}] (* A203765 *)
%K nonn
%O 1,2
%A _Clark Kimberling_, Jan 05 2012