A035722 Coordination sequence for 27-dimensional cubic lattice.

1, 54, 1458, 26262, 355266, 3852630, 34910514, 272061558, 1862598402, 11387193846, 62980925490, 318495883734, 1485715581378, 6440930470422, 26117059455666, 99603553781430, 359014421036034, 1228284237803958

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 (27, -351, 2925, -17550, 80730, -296010, 888030, -2220075, 4686825, -8436285, 13037895, -17383860, 20058300, -20058300, 17383860, -13037895, 8436285, -4686825, 2220075, -888030, 296010, -80730, 17550, -2925, 351, -27, 1).

Formula

G.f.: ((1+x)/(1-x))^27.

n*a(n) = 54*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 21 2018

Crossrefs

Sequence in context: A341561 A079876 A017770 * A017717 A172501 A173188

Adjacent sequences: A035719 A035720 A035721 * A035723 A035724 A035725

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved