A035750 Coordination sequence for C_13 lattice.

1, 338, 19266, 454610, 6065410, 53972178, 354870594, 1847023698, 7988589570, 29746958930, 97926519106, 290835675858, 791675204866, 2000029880786, 4736845866818, 10603978331986, 22589850308610, 46054413896530, 90282306981698, 170866164067794, 313276266562818, 558092423954130

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))^13.

Crossrefs

Sequence in context: A221799 A059976 A232782 * A186043 A107546 A235880

Adjacent sequences: A035747 A035748 A035749 * A035751 A035752 A035753

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved