%I
%S 1,2,3,6,8,16,22,37,53,92,110,201,260,376,519,831,963,1592,1837,2692,
%T 3593,5298,5693,8921,11044,14664,17689,26479,27298,43387
%N Number of extreme nbreakable vectors.
%C An nbreakable vector is a vector v=(v(1),v(2),...,v(n2)) such that each v(i) is a nonnegative integer and SUM i*v(i) == 1 (mod n1).
%C Extreme nbreakable vectors form the set of nbreakable vectors such that every nbreakable vector componentwise dominates some vector from this set, but no two distinct vectors from this set dominate one another.
%C Number of vectors from the Hilbert basis in A141347 with the first coordinate equal 1.
%H Max A. Alekseyev and Pavel A. Pevzner, <a href="http://dx.doi.org/10.1016/j.tcs.2008.01.013">"MultiBreak Rearrangements and Chromosomal Evolution"</a>. Theoretical Computer Science 395(23) (2008), pp. 193202.
%e The set of extreme 6breakable vectors is { (1,0,0,0), (0,0,2,0), (0,1,0,1), (0,0,1,2), (0,3,0,0), (0,0,0,4) }.
%Y Cf. A141347, A141349.
%K nonn,more
%O 3,2
%A _Max Alekseyev_, Jun 27 2008
%E a(21)a(32) from _Max Alekseyev_, Sep 16 2011
