A035830 Coordination sequence for lattice D*_90 (with edges defined by l_1 norm = 1).

1, 180, 16200, 972060, 43750800, 1575612036, 47297528280, 1217347592940, 27425793987360, 549462705652820, 9912269336940648, 162650331363653820, 2448015194902257840, 34033222209800507940, 439668298578779894520

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=90.

Crossrefs

Sequence in context: A214818 A287022 A217791 * A244056 A091033 A146530

Adjacent sequences: A035827 A035828 A035829 * A035831 A035832 A035833

Keyword

nonn

Author

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

Status

approved