A264617 - OEIS

%I #10 Feb 13 2018 10:50:43

%S 1,1,1,1,7,1,47,1,175,208,1,470,3369,1,1036,45043,1,2002,315213,

%T 327904,1,3522,1472157,8846240,1,5775,5287071,180501713,1,8965,

%U 15795483,1908769247,1791317504,1,13321,41169051,13068136571,68640287456,1,19097,96558891,66722214923,1895171760688

%N Irregular triangle read by rows: T(n,k) = number of signed unichromosonal genomes with n genes at 4-break distance k from a fixed genome, 0 <= k <= floor((n+1)/3).

%H N. Alexeev, A. Pologova, M. A. Alekseyev, Generalized Hultman Numbers and Cycle Structures of Breakpoint Graphs, Journal of Computational Biology 24:2 (2017), 93-105. doi:<a href="http://doi.org/10.1089/cmb.2016.0190">10.1089/cmb.2016.0190</a> arXiv:<a href="http://arxiv.org/abs/1503.05285">1503.05285</a>

%e Triangle begins:

%e 1,

%e 1,1,

%e 1,7,

%e 1,47,

%e 1,175,208,

%e 1,470,3369,

%e 1,1036,45043,

%e 1,2002,315213,327904,

%e 1,3522,1472157,8846240,

%e ...

%Y Cf. A164652, A189507, A264614, A264615, A264616.

%K nonn,tabf

%O 1,5

%A _N. J. A. Sloane_, Nov 28 2015

%E Extended and offset corrected by _Max Alekseyev_, Feb 13 2018