A035776 Coordination sequence for C_39 lattice.

1, 3042, 1544322, 314835170, 34608828930, 2388631358178, 113694451659906, 3979111519381986, 107295791104411650, 2310089623221009890, 40848260232482733186, 606946694349068289762, 7722883730528961651202

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))^39.

Maple

seq(coeff(series(((1+x)/(1-x))^39, x, n+1), x, n), n=0..30, 2); # Muniru A Asiru, Aug 12 2018

Crossrefs

Cf. A035734.

Sequence in context: A326416 A236297 A297893 * A108000 A232575 A020426

Adjacent sequences: A035773 A035774 A035775 * A035777 A035778 A035779

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved