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Search: id:A035600
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| A035600 |
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Number of points of L1 norm 6 in cubic lattice Z^n. |
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+0
3
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| 0, 2, 24, 146, 608, 1970, 5336, 12642, 27008, 53154, 97880, 170610, 284000, 454610, 703640, 1057730, 1549824, 2220098, 3116952, 4298066, 5831520, 7796978, 10286936, 13408034, 17282432, 22049250, 27866072, 34910514
(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)= ( 4*n^6 +40*n^4 +46*n^2 )/45. - 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.
Sequence in context: A078994 A000185 A163752 this_sequence A013528 A108476 A157053
Adjacent sequences: A035597 A035598 A035599 this_sequence A035601 A035602 A035603
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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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