A035772 Coordination sequence for C_35 lattice.

1, 2450, 1002050, 164736530, 14625892610, 817022990098, 31558819585090, 899105953178770, 19804773034861570, 349655619001644690, 5090795989356953666, 62549685968909249810, 661056925634111516930, 6106255958211345877010

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))^35.

Crossrefs

Cf. A035730.

Sequence in context: A274684 A232141 A251338 * A107568 A035875 A225893

Adjacent sequences: A035769 A035770 A035771 * A035773 A035774 A035775

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved