A035749 Coordination sequence for C_12 lattice.

1, 288, 14016, 284000, 3281280, 25534368, 148321344, 688686048, 2681291520, 9060853280, 27266245056, 74501171808, 187641279616, 440840828064, 975339085632, 2047881308384, 4106643801600, 7906687806240, 14680871849152, 26386944188256, 46057341900672, 78285175220640

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, 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))^12.

Extensions

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