A126898 Coordination sequence for 8-dimensional cyclotomic lattice Z[zeta_15].

1, 15, 120, 675, 2940, 10425, 31320, 82365, 194520, 420795, 846600, 1602975, 2883060, 4962165, 8221800, 13178025, 20514480, 31120455, 46134360, 66992955, 95486700, 133821585, 184687800, 251335605, 337658760, 448285875, 588680040, 765247095

Offset

0,2

Links

Table of n, a(n) for n=0..27.

M. Beck and S. Hosten, Cyclotomic polytopes and growth series of cyclotomic lattices, arXiv math.CO/0508136

Index entries for linear recurrences with constant coefficients, signature (8, -28, 56, -70, 56, -28, 8, -1).

Formula

G.f.: (x^8+7*x^7+28*x^6+79*x^5+130*x^4+79*x^3+28*x^2+7*x+1)/(1-x)^8.

Mathematica

CoefficientList[Series[(x^8+7x^7+28x^6+79x^5+130x^4+79x^3+28x^2+7x+1)/(1-x)^8, {x, 0, 30}], x] (* or *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {1, 15, 120, 675, 2940, 10425, 31320, 82365, 194520}, 40] (* Harvey P. Dale, Oct 01 2023 *)

Crossrefs

Sequence in context: A027484 A185542 A226989 * A162635 A247612 A010967

Adjacent sequences: A126895 A126896 A126897 * A126899 A126900 A126901

Keyword

nonn

Author

N. J. A. Sloane, Mar 17 2007

Status

approved