A203748 - OEIS

A203748

Vandermonde sequence using x^2 + xy + y^2 applied to (0,1,1,2,2,...,floor(n/2)).

1, 1, 3, 588, 1382976, 759365845056, 11257740654368225472, 85256857822344357223236943872, 30991931452969951465382132459004342829056, 10117962915393557751514211466029580457669394910570086400

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OFFSET

1,3

COMMENTS

See A093883 for a discussion and guide to related sequences.

LINKS

Table of n, a(n) for n=1..10.

MATHEMATICA

f[j_] := Floor[j/2]; z = 15;

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}] (* A203748 *)

Table[v[n + 1]/v[n], {n, 1, z}] (* A203749 *)

Table[Sqrt[v[n + 1]/v[n]], {n, 1, z}]

Table[Sqrt[v[2 n]/v[2 n - 1]], {n, 1, z}] (* A203750 *)

Table[Sqrt[v[2 n + 1]/(3 v[2 n])],

{n, 1, z}] (* A203751 *)

%/%% (* A000027 *)

CROSSREFS

Sequence in context: A137136 A137126 A264675 * A329706 A229748 A368685

Adjacent sequences: A203745 A203746 A203747 * A203749 A203750 A203751

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 05 2012

STATUS

approved