A203701 Vandermonde sequence using x^2 + y^2 applied to the Fibonacci numbers (1,2,3,5,...F(n+1)).

1, 5, 650, 16663400, 478518525316000, 113232587986394983843360000, 1438710315085989348124673236473864000000000, 6858373830854236318613852813305507279474257818061600000000000000

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[k]^2, {j, 1, k - 1}]
v[n_] := Product[u[n], {k, 2, n}]
Table[v[n], {n, 1, z}]          (* A203701 *)
Table[v[n + 1]/v[n], {n, 1, z}] (* A203702 *)

Crossrefs

Sequence in context: A068421 A142535 A203475 * A117709 A185820 A332165

Adjacent sequences: A203698 A203699 A203700 * A203702 A203703 A203704

Keyword

nonn

Author

Clark Kimberling, Jan 04 2012

Status

approved