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A008418 Coordination sequence for 9-dimensional cubic lattice. 5
1, 18, 162, 978, 4482, 16722, 53154, 148626, 374274, 864146, 1854882, 3742290, 7159170, 13079250, 22952610, 38878482, 63821826, 101880594, 158611106, 241419474, 360027522, 527022162, 758497698, 1074801042, 1501390338 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000 (terms 0..1000 from T. D. Noe)

J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).

Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).

FORMULA

G.f.: ((1+x)/(1-x))^9.

n*a(n) = 18*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Jun 06 2018

MATHEMATICA

CoefficientList[Series[((1 + x)/(1 - x))^9, {x, 0, 30}], x] (* Wesley Ivan Hurt, Feb 04 2017 *)

CROSSREFS

Sequence in context: A158808 A271899 A128797 * A099196 A041618 A055915

Adjacent sequences:  A008415 A008416 A008417 * A008419 A008420 A008421

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 15 17:12 EDT 2018. Contains 316237 sequences. (Running on oeis4.)