A035725 Coordination sequence for 30-dimensional cubic lattice.

1, 60, 1800, 36020, 541200, 6516012, 65520920, 566262180, 4296107040, 29081139740, 177923724072, 994286700180, 5119703270960, 24470719227660, 109262828065080, 458259268924292, 1814077233023040, 6806971942073340

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 (30, -435, 4060, -27405, 142506, -593775, 2035800, -5852925, 14307150, -30045015, 54627300, -86493225, 119759850, -145422675, 155117520, -145422675, 119759850, -86493225, 54627300, -30045015, 14307150, -5852925, 2035800, -593775, 142506, -27405, 4060, -435, 30, -1).

Formula

G.f.: ((1+x)/(1-x))^30.

n*a(n) = 60*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 22 2018

Mathematica

CoefficientList[Series[((1+x)/(1-x))^30, {x, 0, 20}], x] (* Harvey P. Dale, Jun 06 2021 *)

Crossrefs

Sequence in context: A053528 A269104 A017776 * A035800 A017723 A214946

Adjacent sequences: A035722 A035723 A035724 * A035726 A035727 A035728

Keyword

nonn,easy

Author

Joan Serra-Sagrista (jserra(AT)ccd.uab.es)

Extensions

Recomputed by N. J. A. Sloane, Nov 25 1998

Status

approved