|
| |
|
|
A141347
|
|
Size of the Hilbert basis of the cone { x in Z+^n : (a,x)=0 } where a=(-1,1,2,...,n-2,-(n-1)).
|
|
3
| |
|
|
2, 6, 12, 26, 38, 82, 116, 204, 290, 554, 633, 1276, 1566, 2367, 3314, 5739, 6227, 11403, 12394, 18965, 25234, 40499, 40711, 68863, 82750, 114969, 135308, 220423, 211638, 370696
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 3,1
|
|
|
COMMENTS
| The number of vectors from the Hilbert basis with the first coordinate equal 1 is given by A141348.
|
|
|
LINKS
| 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.
|
|
|
EXAMPLE
| 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.
|
|
|
CROSSREFS
| Cf. A141348, A141349.
Sequence in context: A151385 A034875 A136515 * A054454 A084170 A052971
Adjacent sequences: A141344 A141345 A141346 * A141348 A141349 A141350
|
|
|
KEYWORD
| nonn,more
|
|
|
AUTHOR
| Max Alekseyev (maxale(AT)gmail.com), Jun 27 2008
|
|
|
EXTENSIONS
| a(21)-a(32) from Max Alekseyev (maxale(AT)gmail.com), Sep 16 2011
|
| |
|
|
