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Search: id:A141347
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| A141347 |
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Size of the Hilbert basis of the cone { x in Z+^n : (a,x)=0 } where a=(-1,1,2,...,n-2,-(n-1)). |
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4
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| 2, 6, 12, 26, 38, 82, 116, 204, 290, 554, 633, 1276, 1566, 2367, 3314, 5739, 6227, 11403
(list; graph; listen)
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OFFSET
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3,1
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COMMENT
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The number of vectors from the Hilbert basis with the first coordinate equal 1 is given by A141348.
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LINKS
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Max A. Alekseyev and Pavel A. Pevzner, "Multi-Break Rearrangements and Chromosomal Evolution". Theoretical Computer Science 395(2-3) (2008), pp. 193-202. Note that this paper erroneously lists every term increased by one: 3, 7, 13, 27, 39 etc.
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EXAMPLE
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For n=4, the Hilbert basis is { (1,1,0,0), (2,0,1,0), (0,1,1,1), (0,3,0,1), (1,0,2,1), (0,0,3,2) }, implying that a(4)=6.
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CROSSREFS
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Cf. A141348, A141349.
Sequence in context: A151385 A034875 A136515 this_sequence A054454 A084170 A052971
Adjacent sequences: A141344 A141345 A141346 this_sequence A141348 A141349 A141350
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KEYWORD
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nonn
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AUTHOR
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Max Alekseyev (maxale(AT)gmail.com), Jun 27 2008
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