A035753 Coordination sequence for C_16 lattice.

1, 512, 44032, 1549824, 30316544, 387328512, 3575055360, 25537728000, 148348809216, 727126954496, 3093172083712, 11673741260288, 39773478832128, 124061810555392, 358342294418432, 967507857612288, 2460955893981184, 5936073260900864, 13653945217715200, 30091563817059840

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))^16.

Crossrefs

Sequence in context: A284033 A240933 A250567 * A107549 A186797 A183815

Adjacent sequences: A035750 A035751 A035752 * A035754 A035755 A035756

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved