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Vandermonde sequence using x^2 - xy + y^2 applied to (1,3,5,...,2n-1).
3

%I #7 Jan 14 2013 08:35:27

%S 1,7,2793,173302857,3257420083394841,30572436265385693946286383,

%T 213701173947351299768327343802342830897,

%U 1552400172652063971265258662606880393824188151866063025

%N Vandermonde sequence using x^2 - xy + y^2 applied to (1,3,5,...,2n-1).

%C See A093883 for a discussion and guide to related sequences.

%t f[j_] := 2 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}] (* A203587 *)

%t Table[v[n + 1]/v[n], {n, 1, z}] (* A203588 *)

%K nonn

%O 1,2

%A _Clark Kimberling_, Jan 04 2012