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A035710 Coordination sequence for 15-dimensional cubic lattice. 2
1, 30, 450, 4510, 34050, 207006, 1057730, 4680990, 18347010, 64797470, 209070018, 623207070, 1732242690, 4524812190, 11180805570, 26283115038, 59064045570, 127421652510, 264870794690, 532225891230, 1036722552066 (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 (15, -105, 455, -1365, 3003, -5005, 6435, -6435, 5005, -3003, 1365, -455, 105, -15, 1).

FORMULA

G.f.: ((1+x)/(1-x))^15.

n*a(n) = 30*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 20 2018

CROSSREFS

Sequence in context: A281602 A307917 A006421 * A341559 A042746 A281700

Adjacent sequences:  A035707 A035708 A035709 * A035711 A035712 A035713

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 December 3 11:40 EST 2021. Contains 349462 sequences. (Running on oeis4.)