A035710 Coordination sequence for 15-dimensional cubic lattice.

1, 30, 450, 4510, 34050, 207006, 1057730, 4680990, 18347010, 64797470, 209070018, 623207070, 1732242690, 4524812190, 11180805570, 26283115038, 59064045570, 127421652510, 264870794690, 532225891230, 1036722552066

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

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.

Index entries for linear recurrences with constant coefficients, signature (15, -105, 455, -1365, 3003, -5005, 6435, -6435, 5005, -3003, 1365, -455, 105, -15, 1).

Formula

G.f.: ((1+x)/(1-x))^15.

n*a(n) = 30*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 20 2018

Crossrefs

Sequence in context: A281602 A307917 A006421 * A341559 A042746 A281700

Adjacent sequences: A035707 A035708 A035709 * A035711 A035712 A035713

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved