A035749 Coordination sequence for C_12 lattice.

1, 288, 14016, 284000, 3281280, 25534368, 148321344, 688686048, 2681291520, 9060853280, 27266245056, 74501171808, 187641279616, 440840828064, 975339085632, 2047881308384, 4106643801600, 7906687806240, 14680871849152, 26386944188256, 46057341900672, 78285175220640

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))^12.

Crossrefs

Sequence in context: A168555 A163731 A223293 * A048145 A022154 A285923

Adjacent sequences: A035746 A035747 A035748 * A035750 A035751 A035752

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved