A126900 Coordination sequence for 6-dimensional cyclotomic lattice Z[zeta_18].

1, 18, 144, 702, 2448, 6786, 15984, 33390, 63648, 112914, 189072, 301950, 463536, 688194, 992880, 1397358, 1924416, 2600082, 3453840, 4518846, 5832144, 7434882, 9372528, 11695086, 14457312, 17718930, 21544848, 26005374, 31176432, 37139778, 43983216

Offset

0,2

Links

Table of n, a(n) for n=0..30.

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 (6, -15, 20, -15, 6, -1).

Formula

G.f.: (x^2+4*x+1)^3/(1-x)^6.

Mathematica

CoefficientList[Series[(x^2+4x+1)^3/(1-x)^6, {x, 0, 40}], x] (* Harvey P. Dale, Sep 03 2018 *)

Crossrefs

Sequence in context: A143992 A127408 A008452 * A178759 A036397 A247741

Adjacent sequences: A126897 A126898 A126899 * A126901 A126902 A126903

Keyword

nonn

Author

N. J. A. Sloane, Mar 17 2007

Status

approved