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A203742 Vandermonde sequence using x^2 + xy + y^2 applied to the first n Fibonacci numbers, A000045. 3
1, 3, 147, 472017, 866845532007, 4855435238533919460876, 612876290292461439118987323026375196, 11137635610343871904014754055897268401888082828962414916 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A093883for a discussion and guide to related sequences.

LINKS

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

MATHEMATICA

f[j_] := Fibonacci[j]; z = 11;

u := Product[f[j]^2 + f[j] f[k] + f[k]^2, {j, 1, k - 1}]

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

Table[v[n], {n, 1, z}]          (* A203742 *)

Table[v[n + 1]/v[n], {n, 1, z}] (* A203743 *)

CROSSREFS

Sequence in context: A303251 A203759 A203312 * A203699 A003009 A037122

Adjacent sequences:  A203739 A203740 A203741 * A203743 A203744 A203745

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 05 2012

STATUS

approved

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Last modified May 26 13:59 EDT 2022. Contains 354092 sequences. (Running on oeis4.)