A035751 Coordination sequence for C_14 lattice.

1, 392, 25872, 703640, 10746400, 108568488, 803467056, 4666890936, 22345512000, 91437047240, 328578611536, 1058868074712, 3110749728352, 8440960351208, 21380213588848, 50989319763704, 115318214551680, 248806698957320, 514705956670864, 1025296826430744, 1973911289979552

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))^14.

Crossrefs

Sequence in context: A180295 A166988 A264311 * A107547 A068276 A068288

Adjacent sequences: A035748 A035749 A035750 * A035752 A035753 A035754

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved