A035764 Coordination sequence for C_27 lattice.

1, 1458, 355266, 34910514, 1862598402, 62980925490, 1485715581378, 26117059455666, 359014421036034, 4003976643221682, 37296107457684930, 297019427057955378, 2061520089784186626, 12670725992539608882, 69896490055937220546, 350024151452942174130, 1606812447909933740034

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))^27.

Crossrefs

Sequence in context: A091715 A224528 A206147 * A107560 A276101 A219725

Adjacent sequences: A035761 A035762 A035763 * A035765 A035766 A035767

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved