%I #8 Jan 14 2013 08:53:53
%S 1,19,19684,2294583564,51987957606172224,354256491848971529923455168,
%T 1043097707370582731107248079473888804864,
%U 1807964167474441339593635811814833549204957259332698112
%N Vandermonde sequence using x^2 + xy + y^2 applied to (2,3,...,n+1).
%C See A093883 for a discussion and guide to related sequences.
%t f[j_] := j + 1; z = 12;
%t v[n_] := Product[Product[f[j]^2 + f[j] f[k] + f[k]^2,
%t {j, 1, k - 1}], {k, 2, n}]
%t Table[v[n], {n, 1, z}] (* A203581 *)
%t Table[v[n + 1]/v[n], {n, 1, z}] (* A203582 *)
%K nonn
%O 1,2
%A _Clark Kimberling_, Jan 04 2012