A035800 Coordination sequence for lattice D*_30 (with edges defined by l_1 norm = 1).

1, 60, 1800, 36020, 541200, 6516012, 65520920, 566262180, 4296107040, 29081139740, 177923724072, 994286700180, 5119703270960, 24470719227660, 109262828065080, 458260342666116, 1814109445277760, 6807471232021500

Offset

0,2

Links

Table of n, a(n) for n=0..17.

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

a(m)=add(2^k*binomial(n, k)*binomial(m-1, k-1), k=0..n)+2^n*binomial((n+2*m)/2-1, n-1); with n=30.

Crossrefs

Sequence in context: A269104 A017776 A035725 * A017723 A214946 A058836

Adjacent sequences: A035797 A035798 A035799 * A035801 A035802 A035803

Keyword

nonn

Author

N. J. A. Sloane, J. Serra-Sagrista (jserra(AT)ccd.uab.es)

Status

approved