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A035722 Coordination sequence for 27-dimensional cubic lattice. 1
1, 54, 1458, 26262, 355266, 3852630, 34910514, 272061558, 1862598402, 11387193846, 62980925490, 318495883734, 1485715581378, 6440930470422, 26117059455666, 99603553781430, 359014421036034, 1228284237803958 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 23 23:39 EDT 2022. Contains 353993 sequences. (Running on oeis4.)