A203759 - OEIS

A203759

Vandermonde sequence using x^2 + xy + y^2 applied to (1,1,2,2,...,[n/2]).

1, 3, 147, 86436, 5273373924, 8686528282691532, 4111538282327563523497152, 93412216233151136505901971387334656, 1219854711057286573050999646270927427863304749056

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

See A093883 for a discussion and guide to related sequences.

LINKS

Table of n, a(n) for n=1..9.

MATHEMATICA

f[j_] := Floor[(j + 1)/2]; z = 13;

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}] (* A203759 *)

Table[v[n + 1]/v[n], {n, 1, z}] (* A203760 *)

CROSSREFS

Sequence in context: A302667 A302469 A303251 * A203312 A203742 A203699

Adjacent sequences: A203756 A203757 A203758 * A203760 A203761 A203762

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 05 2012

STATUS

approved