A035773 Coordination sequence for C_36 lattice.

1, 2592, 1121472, 194986080, 18300435840, 1080041397408, 44042615547456, 1323529602867936, 30721376739859200, 570951048018417440, 8740606046237286336, 112789007191042473312, 1250374850905568180352

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))^36.

Maple

seq(coeff(series(((1+x)/(1-x))^36, x, n+1), x, n), n=0..30, 2); # Muniru A Asiru, Aug 12 2018

Crossrefs

Cf. A035731.

Sequence in context: A269141 A269199 A269107 * A107569 A269287 A204774

Adjacent sequences: A035770 A035771 A035772 * A035774 A035775 A035776

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved