A203585 - OEIS

%I #7 Jan 14 2013 08:35:01

%S 1,13,6500,262769000,1500305882400000,1885591784499143760000000,

%T 753074404854223679800035840000000000,

%U 130639388303516205847055577677763494400000000000000

%N Vandermonde sequence using x^2 + 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[k]^2, {j, 1, k - 1}], {k, 2, n}]

%t Table[v[n], {n, 1, z}]          (* A203585 *)

%t Table[v[n + 1]/v[n], {n, 1, z}] (* A203586 *)

%K nonn

%O 1,2

%A _Clark Kimberling_, Jan 04 2012