A035718 Coordination sequence for 23-dimensional cubic lattice.

1, 46, 1058, 16238, 187266, 1732590, 13408034, 89347502, 523804162, 2746713774, 13053926690, 56836459246, 228751366018, 857520299118, 3013639296546, 9985011435310, 31343842260994, 93623053855022

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 (23, -253, 1771, -8855, 33649, -100947, 245157, -490314, 817190, -1144066, 1352078, -1352078, 1144066, -817190, 490314, -245157, 100947, -33649, 8855, -1771, 253, -23, 1).

Formula

G.f.: ((1+x)/(1-x))^23. [Corrected by Harvey P. Dale, Dec 27 2011]

n*a(n) = 46*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 20 2018

Mathematica

CoefficientList[Series[((1+x)/(1-x))^23, {x, 0, 20}], x] (* Harvey P. Dale, Dec 27 2011 *)

Crossrefs

Sequence in context: A280280 A010962 A057465 * A246993 A161691 A162186

Adjacent sequences: A035715 A035716 A035717 * A035719 A035720 A035721

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved