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Search: id:A035606
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| A035606 |
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Number of points of L1 norm 12 in cubic lattice Z^n. |
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+0
3
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| 0, 2, 48, 578, 4672, 28610, 142000, 596610, 2187520, 7159170, 21278640, 58227906, 148321344, 354870594, 803467056, 1732242690, 3575055360, 7094825730, 13591279920, 25216532290, 45443741760, 79749022402
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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J. Serra-Sagrista, Enumeration of lattice points in l_1 norm, Information Processing Letters, 76, no. 1-2 (2000), 39-44.
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LINKS
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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).
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MAPLE
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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
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CROSSREFS
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Sequence in context: A058090 A051252 A005429 this_sequence A157057 A009670 A024236
Adjacent sequences: A035603 A035604 A035605 this_sequence A035607 A035608 A035609
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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