A035717 Coordination sequence for 22-dimensional cubic lattice.

1, 44, 968, 14212, 156816, 1388508, 10286936, 65652532, 368804128, 1854105484, 8453107432, 35329425124, 136585481648, 492183451452, 1663935545976, 5307436592788, 16051394232896, 46227817361132, 127269237312008, 336090491414084

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 (22, -231, 1540, -7315, 26334, -74613, 170544, -319770, 497420, -646646, 705432, -646646, 497420, -319770, 170544, -74613, 26334, -7315, 1540, -231, 22, -1).

Formula

G.f.: ((1+x)/(1-x))^22.

n*a(n) = 44*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 20 2018

Mathematica

CoefficientList[Series[((x+1)/(1-x))^22, {x, 0, 20}], x] (* Harvey P. Dale, Aug 20 2011 *)

Crossrefs

Sequence in context: A191374 A299466 A010960 * A035611 A161679 A162182

Adjacent sequences: A035714 A035715 A035716 * A035718 A035719 A035720

Keyword

nonn,easy

Author

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

Extensions

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

Formula clarified by Harvey P. Dale, Aug 20 2011

Status

approved