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A035709 Coordination sequence for 14-dimensional cubic lattice. 1
1, 28, 392, 3668, 25872, 147084, 703640, 2919620, 10746400, 35704060, 108568488, 305568564, 803467056, 1989102444, 4666890936, 10435418532, 22345512000, 46012094940, 91437047240, 175918049300, 328578611536 (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 (14, -91, 364, -1001, 2002, -3003, 3432, -3003, 2002, -1001, 364, -91, 14, -1).

FORMULA

G.f.: ((1+x)/(1-x))^14.

n*a(n) = 28*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 20 2018

CROSSREFS

Sequence in context: A177108 A283637 A126921 * A035476 A042518 A297179

Adjacent sequences:  A035706 A035707 A035708 * A035710 A035711 A035712

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 January 29 09:18 EST 2022. Contains 350672 sequences. (Running on oeis4.)