A126927 Coordination sequence for 24-dimensional cyclotomic lattice Z[zeta_39].

1, 39, 780, 10647, 111423, 952458, 6920550, 43927572, 248479881, 1271710518, 5959420428, 25817154792, 104213936151, 394558461219, 1408883732178, 4767318362547, 15349086639822, 47189649988689, 138972574939458, 393135367989585, 1070965640458077, 2815900334572572

Offset

0,2

Links

Table of n, a(n) for n=0..21.

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 (24, -276, 2024, -10626, 42504, -134596, 346104, -735471, 1307504, -1961256, 2496144, -2704156, 2496144, -1961256, 1307504, -735471, 346104, -134596, 42504, -10626, 2024, -276, 24, -1).

Formula

G.f.: (x^24 + 15*x^23 + 120*x^22 + 667*x^21 + 2865*x^20 + 10068*x^19 + 29998*x^18 + 77670*x^17 + 177966*x^16 + 363919*x^15 + 655692*x^14 + 1001649*x^13 + 1214590*x^12 + 1001649*x^11 + 655692*x^10 + 363919*x^9 + 177966*x^8 + 77670*x^7 + 29998*x^6 + 10068*x^5 + 2865*x^4 + 667*x^3 + 120*x^2 + 15*x + 1)/(x-1)^24.

Crossrefs

Sequence in context: A161652 A162168 A162399 * A010991 A221358 A194133

Adjacent sequences: A126924 A126925 A126926 * A126928 A126929 A126930

Keyword

nonn

Author

N. J. A. Sloane, Mar 18 2007

Status

approved