A264614 - OEIS

%I #13 Feb 13 2018 11:08:50

%S 1,1,0,1,1,1,4,1,1,10,13,1,20,75,24,1,35,287,397,1,56,854,3112,1017,1,

%T 84,2142,16196,21897,1,120,4746,64520,222573,70920,1,165,9570,212498,

%U 1486749,1919817,1,220,17919,606584,7503815,24312636,7475625,1,286,31603,1548404,30891575,200350670,246179061

%N Irregular triangle read by rows: T(n,k) = number of unsigned unichromosonal genomes with n genes at 3-break distance k from a fixed genome, 0 <= k <= floor(n/2).

%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 1,0,

%e 1,1,

%e 1,4,1,

%e 1,10,13,

%e 1,20,75,24,

%e 1,35,287,397,

%e 1,56,854,3112,1017,

%e 1,84,2142,16196,21897,

%e ...

%Y Cf. A164652, A189507, A264615, A264616, A264617.

%K nonn,tabf

%O 1,7

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

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