A035761 Coordination sequence for C_24 lattice.

1, 1152, 221952, 17282432, 733189632, 19804348032, 375282559232, 5332713820032, 59660218248192, 545370276747392, 4193961783144192, 27773897706129792, 161439727075246592, 836741699281154688, 3918338381384594688, 16763693723937678208, 66145673666689456128

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

R. Bacher, P. de la Harpe and B. Venkov, Séries de croissance et séries d'Ehrhart associées aux réseaux de racines, C. R. Acad. Sci. Paris, 325 (Series 1) (1997), 1137-1142.

J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).

Joan Serra-Sagrista, Enumeration of lattice points in l_1 norm, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.

Formula

a(n) = [x^(2n)] ((1+x)/(1-x))^24.

Crossrefs

Sequence in context: A170775 A350691 A166490 * A107557 A364180 A330266

Adjacent sequences: A035758 A035759 A035760 * A035762 A035763 A035764

Keyword

nonn,easy

Author

Joan Serra-Sagrista (jserra(AT)ccd.uab.es)

Extensions

Recomputed by N. J. A. Sloane, Nov 25 1998

Status

approved