A008420 Coordination sequence for 10-dimensional cubic lattice.

1, 20, 200, 1340, 6800, 28004, 97880, 299660, 822560, 2060980, 4780008, 10377180, 21278640, 41517060, 77548920, 139380012, 242080320, 407782740, 668274440, 1068305020, 1669752016, 2556801700, 3842321560, 5675620300

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