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Search: id:A035604
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| A035604 |
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Number of points of L1 norm 10 in cubic lattice Z^n. |
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+0
2
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| 0, 2, 40, 402, 2720, 14002, 58728, 209762, 658048, 1854882, 4780008, 11414898, 25534368, 53972178, 108568488, 209070018, 387328512, 693230658, 1202893992, 2029779538, 3339504032, 5369283570, 8453107432, 13053926690
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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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FORMULA
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2n^2/14175 * (2n^8 + 120n^6 + 1806n^4 + 7180n^2 + 5067).
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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: A003760 A155977 A092698 this_sequence A108033 A160229 A012807
Adjacent sequences: A035601 A035602 A035603 this_sequence A035605 A035606 A035607
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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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