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Search: id:A035605
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| A035605 |
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Number of points of L1 norm 11 in cubic lattice Z^n. |
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+0
1
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| 0, 2, 44, 486, 3608, 20330, 93060, 361550, 1229360, 3742290, 10377180, 26572086, 63521352, 143027898, 305568564, 623207070, 1219605600, 2300164770, 4196289420, 7428962950, 12798246520, 21507034122
(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: A006313 A059737 A123829 this_sequence A009620 A001627 A094397
Adjacent sequences: A035602 A035603 A035604 this_sequence A035606 A035607 A035608
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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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