A035731 Coordination sequence for 36-dimensional cubic lattice.

1, 72, 2592, 62232, 1121472, 16186536, 194986080, 2017132920, 18300435840, 147972367880, 1080041397408, 7190430174936, 44042615547456, 250012542410856, 1323529602867936, 6569619630522168, 30721376739859200

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 (36, -630, 7140, -58905, 376992, -1947792, 8347680, -30260340, 94143280, -254186856, 600805296, -1251677700, 2310789600, -3796297200, 5567902560, -7307872110, 8597496600, -9075135300, 8597496600, -7307872110, 5567902560, -3796297200, 2310789600, -1251677700, 600805296, -254186856, 94143280, -30260340, 8347680, -1947792, 376992, -58905, 7140, -630, 36, -1).

Formula

G.f.: ((1+x)/(1-x))^36.

n*a(n) = 72*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 24 2018

Crossrefs

Sequence in context: A377668 A035118 A017788 * A035803 A017735 A141054

Adjacent sequences: A035728 A035729 A035730 * A035732 A035733 A035734

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved