A203699 Vandermonde sequence using x^2 - xy + y^2 applied to the Fibonacci numbers (1,2,3,5,...F(n+1)).

1, 3, 147, 1114407, 7930748737548, 423375184354643258554908, 1139699897999666959110654862545153285132, 1110214943505579438451390880891356969725014603098351043391552

Offset

1,2

Comments

See A093883 for a discussion and guide to related sequences.

Links

Table of n, a(n) for n=1..8.

Mathematica

f[j_] := Fibonacci[j + 1]; z = 11;
u[n_] := Product[f[j]^2 - f[j] f[k] + f[k]^2,
  {j, 1, k - 1}]
v[n_] := Product[u[n], {k, 2, n}]
Table[v[n], {n, 1, z}]          (* A203699 *)
Table[v[n + 1]/v[n], {n, 1, z}] (* A203700 *)

Crossrefs

Sequence in context: A203759 A203312 A203742 * A003009 A037122 A213989

Adjacent sequences: A203696 A203697 A203698 * A203700 A203701 A203702

Keyword

nonn

Author

Clark Kimberling, Jan 04 2012

Status

approved