A035835 Coordination sequence for lattice D*_100 (with edges defined by l_1 norm = 1).

1, 200, 20000, 1333400, 66680000, 2668000040, 88977788000, 2544128228600, 63669939056000, 1416866300977800, 28388261970800800, 517309471897178200, 8645481416595304000, 133445129808456135400, 1913769409906455052000

Offset

0,2

Links

Table of n, a(n) for n=0..14.

Joan Serra-Sagrista, Enumeration of lattice points in l_1 norm, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.

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=100.

Crossrefs

Sequence in context: A232132 A278191 A248453 * A027825 A098963 A107843

Adjacent sequences: A035832 A035833 A035834 * A035836 A035837 A035838

Keyword

nonn

Author

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

Status

approved