A035802 - OEIS

A035802

Coordination sequence for lattice D*_34 (with edges defined by l_1 norm = 1).

1, 68, 2312, 52428, 892432, 12168532, 138504984, 1354168796, 11614313504, 88805833316, 613171117352, 3863171679980, 22402282117680, 120450005575540, 604244840324920, 2843633280971772, 12614155679414336

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OFFSET

0,2

COMMENTS

Starts to differ from A035729 at a(17). [From R. J. Mathar, Oct 24 2008]

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 (34, -561, 5984, -46376, 278256, -1344904, 5379616, -18156204, 52451256, -131128140, 286097760, -548354040, 927983760, -1391975640, 1855967520, -2203961430, 2333606220, -2203961430, 1855967520, -1391975640, 927983760, -548354040, 286097760, -131128140, 52451256, -18156204, 5379616, -1344904, 278256, -46376, 5984, -561, 34, -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=34.

CROSSREFS

Sequence in context: A228332 A220722 A017784 * A035729 A017731 A204298

Adjacent sequences: A035799 A035800 A035801 * A035803 A035804 A035805

KEYWORD

nonn

AUTHOR

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

STATUS

approved