A203701 - OEIS

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

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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