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A008420 Coordination sequence for 10-dimensional cubic lattice. 5
1, 20, 200, 1340, 6800, 28004, 97880, 299660, 822560, 2060980, 4780008, 10377180, 21278640, 41517060, 77548920, 139380012, 242080320, 407782740, 668274440, 1068305020, 1669752016, 2556801700, 3842321560, 5675620300 (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 (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

FORMULA

G.f.: ((1+x)/(1-x))^10.

n*a(n) = 20*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Jun 06 2018

MATHEMATICA

CoefficientList[Series[((1 + x)/(1 - x))^10, {x, 0, 30}], x] (* Wesley Ivan Hurt, Apr 18 2017 *)

CROSSREFS

Sequence in context: A191299 A027716 A126901 * A045758 A035474 A103261

Adjacent sequences:  A008417 A008418 A008419 * A008421 A008422 A008423

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.)