A035787 Coordination sequence for C_50 lattice.

1, 5000, 4170000, 1394447000, 250799764000, 28222682700200, 2180706863326000, 123252789641763000, 5335428332027176000, 183203070393610797000, 5129723834328569406800, 119780004243882975543000, 2376073555319729124284000, 40672867087351099089831400

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))^50.

Crossrefs

Cf. A035745.

Sequence in context: A200910 A035901 A203919 * A108011 A018188 A280879

Adjacent sequences: A035784 A035785 A035786 * A035788 A035789 A035790

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved