A203742 Vandermonde sequence using x^2 + xy + y^2 applied to the first n Fibonacci numbers, A000045.

1, 3, 147, 472017, 866845532007, 4855435238533919460876, 612876290292461439118987323026375196, 11137635610343871904014754055897268401888082828962414916

Offset: 1

Author

Clark Kimberling, Jan 05 2012

Keywords

• nonn

Comments

See A093883for a discussion and guide to related sequences.

Programs

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 *)