A035747 Coordination sequence for C_10 lattice.

1, 200, 6800, 97880, 822560, 4780008, 21278640, 77548920, 242080320, 668274440, 1669752016, 3842321560, 8251811680, 16711687720, 32179616240, 59307908024, 105189061760, 180344446280, 300011499280, 485792684760, 767737840032, 1186940456040, 1798737871920

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, Annales de l'institut Fourier, Tome 49 (1999) no. 3, pp. 727-762.

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))^10.

a(n) = A008420(2*n). - Seiichi Manyama, Jun 08 2018

Crossrefs

Cf. A008420.

Sequence in context: A231803 A185988 A199534 * A219414 A022152 A249238

Adjacent sequences: A035744 A035745 A035746 * A035748 A035749 A035750

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved