A035803 - OEIS

A035803

Coordination sequence for lattice D*_36 (with edges defined by l_1 norm = 1).

1, 72, 2592, 62232, 1121472, 16186536, 194986080, 2017132920, 18300435840, 147972367880, 1080041397408, 7190430174936, 44042615547456, 250012542410856, 1323529602867936, 6569619630522168, 30721376739859200

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OFFSET

0,2

COMMENTS

Starts to differ from A035731 at n=18. - Mark van Hoeij Apr 22 2013

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 (36, -630, 7140, -58905, 376992, -1947792, 8347680, -30260340, 94143280, -254186856, 600805296, -1251677700, 2310789600, -3796297200, 5567902560, -7307872110, 8597496600, -9075135300, 8597496600, -7307872110, 5567902560, -3796297200, 2310789600, -1251677700, 600805296, -254186856, 94143280, -30260340, 8347680, -1947792, 376992, -58905, 7140, -630, 36, -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=36.

CROSSREFS

Sequence in context: A035118 A017788 A035731 * A017735 A141054 A173192

Adjacent sequences: A035800 A035801 A035802 * A035804 A035805 A035806

KEYWORD

nonn

AUTHOR

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

STATUS

approved