A035713 Coordination sequence for 18-dimensional cubic lattice.

1, 36, 648, 7788, 70416, 511668, 3116952, 16395516, 76117536, 317222212, 1202893992, 4196289420, 13591279920, 41188096980, 117561917880, 317844953628, 818017823808, 2012724468324, 4752575891144, 10805739370668

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 (18, -153, 816, -3060, 8568, -18564, 31824, -43758, 48620, -43758, 31824, -18564, 8568, -3060, 816, -153, 18, -1).

Formula

G.f.: ((1+x)/(1-x))^18.

n*a(n) = 36*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 20 2018

Crossrefs

Sequence in context: A323980 A287990 A283630 * A035478 A250624 A368062

Adjacent sequences: A035710 A035711 A035712 * A035714 A035715 A035716

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved