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%I #7 Jan 14 2013 10:24:41
%S 1,1,9,324,777924,16810159716,69136555917409344,
%T 4549499535875623543259136,115306876482136485813839025883201536,
%U 73061199694724861313901918528002630365482598400
%N Vandermonde sequence using x^2 - xy + y^2 applied to (1,1,2,2,...,[n/2]).
%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 1,3
%A _Clark Kimberling_, Jan 05 2012
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