A203697 - OEIS

%I #7 Jan 14 2013 08:30:59

%S 1,7,1729,102427689,7859247487506324,5420939118751361437801775388,

%T 212771631278201852610030565508935087592924796,

%U 3245346956445033097411208139940145810977419605290236367412235927744

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

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

%t f[j_] := Fibonacci[j + 1]; z = 11;

%t u[n_] := Product[f[j]^2 + f[j] f[k] + f[k]^2,

%t   {j, 1, k - 1}]

%t v[n_] := Product[u[n], {k, 2, n}]

%t Table[v[n], {n, 1, z}]          (* A203697 *)

%t Table[v[n + 1]/v[n], {n, 1, z}] (* A203698 *)

%K nonn

%O 1,2

%A _Clark Kimberling_, Jan 04 2012