A035813 - OEIS

A035813

Coordination sequence for lattice D*_56 (with edges defined by l_1 norm = 1).

1, 112, 6272, 234192, 6560512, 147095984, 2750165376, 44107714576, 619570628096, 7744518260976, 87234261025408, 894539809017680, 8421733435019520, 73313390970875440, 593725756425591680

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..14.

Joan Serra-Sagrista, Enumeration of lattice points in l_1 norm, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.

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=56.

CROSSREFS

Sequence in context: A271032 A213803 A291214 * A223613 A377639 A075910

Adjacent sequences: A035810 A035811 A035812 * A035814 A035815 A035816

KEYWORD

nonn

AUTHOR

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

STATUS

approved