A035801 Coordination sequence for lattice D*_32 (with edges defined by l_1 norm = 1).

1, 64, 2048, 43712, 700416, 8991552, 96376832, 887582144, 7172939776, 51697913408, 336604997632, 2000727369920, 10951050137600, 55605785375040, 263584490403840, 1172818839714752, 4921916082929664, 19564527852207168

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 (32, -496, 4960, -35960, 201376, -906192, 3365856, -10518300, 28048800, -64512240, 129024480, -225792840, 347373600, -471435600, 565722720, -601080390, 565722720, -471435600, 347373600, -225792840, 129024480, -64512240, 28048800, -10518300, 3365856, -906192, 201376, -35960, 4960, -496, 32, -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=32.

Crossrefs

Sequence in context: A017780 A324492 A035727 * A239739 A017727 A089458

Adjacent sequences: A035798 A035799 A035800 * A035802 A035803 A035804

Keyword

nonn

Author

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

Status

approved