A126922 - OEIS

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A126922

Coordination sequence for 8-dimensional cyclotomic lattice Z[zeta_30].

0

1, 30, 420, 3450, 18930, 77190, 253140, 705090, 1732020, 3852990, 7912380, 15214650, 27692310, 48110790, 80313900, 129513570, 202627560, 308668830, 459190260, 668788410, 955670010, 1342284870, 1856028900, 2530020930, 3403957020, 4525045950, 5949029580

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..26.

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+22*x^7+208*x^6+874*x^5+1480*x^4+874*x^3+208*x^2+22*x+1)/(1-x)^8.

CROSSREFS

Sequence in context: A282125 A296917 A255002 * A276287 A106440 A097213

Adjacent sequences: A126919 A126920 A126921 * A126923 A126924 A126925

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mar 18 2007

STATUS

approved