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

Author

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

Keywords

• nonn
• easy

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

Extensions

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