A035762 Coordination sequence for C_25 lattice.

1, 1250, 261250, 22049250, 1012597250, 29557550050, 604033925250, 9235138753250, 110890799925250, 1085175523649250, 8910448028600450, 62842745595873250, 388036691221877250, 2131248564724282850, 10551253249450808450, 47616507731413151970, 197765489522704130050

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))^25.

Crossrefs

Sequence in context: A195810 A184610 A106322 * A107558 A254287 A252958

Adjacent sequences: A035759 A035760 A035761 * A035763 A035764 A035765

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved