A035770 Coordination sequence for C_33 lattice.

1, 2178, 792066, 115852418, 9160333314, 456334097538, 15745443972610, 401492555264130, 7932626513059842, 125920628852842626, 1652497769389663746, 18348947281180593282, 175716931633807644674, 1474714295561130964098

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))^33.

Crossrefs

Cf. A035728.

Sequence in context: A072141 A008918 A262792 * A107566 A073142 A137874

Adjacent sequences: A035767 A035768 A035769 * A035771 A035772 A035773

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved