A203583 - OEIS

%I #7 Jan 14 2013 10:15:53

%S 1,7,1092,8278452,5432386430016,486397992095118597312,

%T 8639860170780148341061245616128,

%U 41813829909128704365291419329747443010781184,72587617701933252361662389738534944047336321767596936396800

%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}]          (* A203583 *)

%t Table[v[n + 1]/v[n], {n, 1, z}] (* A203584 *)

%K nonn

%O 1,2

%A _Clark Kimberling_, Jan 04 2012