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%I #9 Mar 30 2012 17:27:01
%S 2,6,12,26,38,82,116,204,290,554,633,1276,1566,2367,3314,5739,6227,
%T 11403,12394,18965,25234,40499,40711,68863,82750,114969,135308,220423,
%U 211638,370696
%N Size of the Hilbert basis of the cone { x in Z+^n : (a,x)=0 } where a=(-1,1,2,...,n-2,-(n-1)).
%C The number of vectors from the Hilbert basis with the first coordinate equal 1 is given by A141348.
%H Max A. Alekseyev and Pavel A. Pevzner, <a href="http://dx.doi.org/10.1016/j.tcs.2008.01.013">"Multi-Break Rearrangements and Chromosomal Evolution"</a>. 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.
%e 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.
%Y Cf. A141348, A141349.
%K nonn,more
%O 3,1
%A _Max Alekseyev_, Jun 27 2008
%E a(21)-a(32) from _Max Alekseyev_, Sep 16 2011
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