A126899 - OEIS

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A126899

Coordination sequence for 6-dimensional cyclotomic lattice Z[zeta_9].

1, 9, 45, 162, 468, 1152, 2511, 4977, 9144, 15795, 25929, 40788, 61884, 91026, 130347, 182331, 249840, 336141, 444933, 580374, 747108, 950292, 1195623, 1489365, 1838376, 2250135, 2732769, 3295080, 3946572, 4697478, 5558787, 6542271, 7660512, 8926929

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..33.

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+x+1)^3/(1-x)^6.

CROSSREFS

Sequence in context: A357717 A341988 A341069 * A162602 A247609 A341138

Adjacent sequences: A126896 A126897 A126898 * A126900 A126901 A126902

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mar 17 2007

STATUS

approved