A035785 Coordination sequence for C_48 lattice.

1, 4608, 3542016, 1091884544, 181095585792, 18801236605440, 1341056098444288, 70018291338395136, 2802193910116429824, 89036073583109693952, 2309183244948006190080, 49996383212627286763008

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))^48.

Crossrefs

Cf. A035743.

Sequence in context: A078094 A159205 A170795 * A108009 A263115 A210350

Adjacent sequences: A035782 A035783 A035784 * A035786 A035787 A035788

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved