A035799 Coordination sequence for lattice D*_28 (with edges defined by l_1 norm = 1).

1, 56, 1568, 29288, 410816, 4618712, 43381856, 350353928, 2485013888, 15734806136, 90102925472, 471579734696, 2275791199808, 10202437251608, 42760695613152, 168488556607560, 627208000027392, 2215487522023608

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 (28, -378, 3276, -20475, 98280, -376740, 1184040, -3108105, 6906900, -13123110, 21474180, -30421755, 37442160, -40116600, 37442160, -30421755, 21474180, -13123110, 6906900, -3108105, 1184040, -376740, 98280, -20475, 3276, -378, 28, -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=28.

Crossrefs

Sequence in context: A017772 A233981 A035723 * A278362 A017719 A234761

Adjacent sequences: A035796 A035797 A035798 * A035800 A035801 A035802

Keyword

nonn

Author

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

Status

approved