%I #8 Jan 14 2013 04:48:00
%S 1,3,147,472017,866845532007,4855435238533919460876,
%T 612876290292461439118987323026375196,
%U 11137635610343871904014754055897268401888082828962414916
%N Vandermonde sequence using x^2 + xy + y^2 applied to the first n Fibonacci numbers, A000045.
%C See A093883for a discussion and guide to related sequences.
%t f[j_] := Fibonacci[j]; z = 11;
%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}] (* A203742 *)
%t Table[v[n + 1]/v[n], {n, 1, z}] (* A203743 *)
%K nonn
%O 1,2
%A _Clark Kimberling_, Jan 05 2012