A035807 Coordination sequence for lattice D*_44 (with edges defined by l_1 norm = 1).

1, 88, 3872, 113608, 2501312, 44091256, 648339296, 8182044904, 90488748416, 891142686104, 7914446636448, 64044689834760, 476256430985280, 3278081347299000, 21013302552438240, 126119045475296808, 712041389847515904

Offset

0,2

Links

Table of n, a(n) for n=0..16.

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 (44, -946, 13244, -135751, 1086008, -7059052, 38320568, -177232627, 708930508, -2481256778, 7669339132, -21090682613, 51915526432, -114955808528, 229911617056, -416714805914, 686353797976, -1029530696964, 1408831480056, -1761039350070, 2012616400080, -2104098963720, 2012616400080, -1761039350070, 1408831480056, -1029530696964, 686353797976, -416714805914, 229911617056, -114955808528, 51915526432, -21090682613, 7669339132, -2481256778, 708930508, -177232627, 38320568, -7059052, 1086008, -135751, 13244, -946, 44, -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=44.

Crossrefs

Sequence in context: A093288 A017804 A035739 * A017751 A137057 A197321

Adjacent sequences: A035804 A035805 A035806 * A035808 A035809 A035810

Keyword

nonn

Author

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

Status

approved