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Search: id:A035602
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| A035602 |
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Number of points of L1 norm 8 in cubic lattice Z^n. |
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+0
3
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| 0, 2, 32, 258, 1408, 5890, 20256, 59906, 157184, 374274, 822560, 1690370, 3281280, 6065410, 10746400, 18347010, 30316544, 48663554, 76117536, 116323586, 174074240, 255582978, 368804128, 523804162, 733189632
(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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FORMULA
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a(n)= ( 2*n^8 +8*7*n^6 +4*7*11*n^4 +8*3*11*n^2 )/(5*7*9). - frank.ellermann(AT)t-online.de, Mar 16 2002
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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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Cf. A035596 - A035607.
Adjacent sequences: A035599 A035600 A035601 this_sequence A035603 A035604 A035605
Sequence in context: A053316 A053053 A053054 this_sequence A079766 A053065 A091707
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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