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

Author

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

Keywords

• nonn
• easy

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.

Crossrefs

Cf. A008420.

Formula

a(n) = [x^(2n)] ((1+x)/(1-x))^10.

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

Extensions

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