A035833 - OEIS

A035833

Coordination sequence for lattice D*_96 (with edges defined by l_1 norm = 1).

1, 192, 18432, 1179712, 56635392, 2175506880, 69653977088, 1912063019328, 45941752946688, 981577889655488, 18883048883742720, 330398144244136512, 5302106181975969792, 78587597425082438592, 1082317427128538560512

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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=96.

CROSSREFS

Sequence in context: A200209 A205760 A338532 * A048616 A206707 A199007

Adjacent sequences: A035830 A035831 A035832 * A035834 A035835 A035836

KEYWORD

nonn

AUTHOR

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

STATUS

approved