A035784 Coordination sequence for C_47 lattice.

1, 4418, 3256066, 962492226, 153103850498, 15248694346562, 1043758929078018, 52316368750163266, 2010885935139876866, 61394690471405342018, 1530842851201184782082, 31883560021717307214658, 565114979085891272326146

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))^47.

Crossrefs

Cf. A035742.

Sequence in context: A303095 A039818 A116342 * A108008 A275773 A060363

Adjacent sequences: A035781 A035782 A035783 * A035785 A035786 A035787

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved