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A035606 Number of points of L1 norm 12 in cubic lattice Z^n. 2
0, 2, 48, 578, 4672, 28610, 142000, 596610, 2187520, 7159170, 21278640, 58227906, 148321344, 354870594, 803467056, 1732242690, 3575055360, 7094825730, 13591279920, 25216532290, 45443741760, 79749022402 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

REFERENCES

J. Serra-Sagrista, Enumeration of lattice points in l_1 norm, Information Processing Letters, 76, no. 1-2 (2000), 39-44.

LINKS

J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (Abstract, pdf, ps).

MAPLE

f := proc(d, m) local i; sum( 2^i*binomial(d, i)*binomial(m-1, i-1), i=1..min(d, m)); end; # n=dimension, m=norm

CROSSREFS

Sequence in context: A058090 A051252 A005429 * A157057 A013523 A009670

Adjacent sequences:  A035603 A035604 A035605 * A035607 A035608 A035609

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 16 16:00 EST 2012. Contains 205938 sequences.