cp's OEIS Frontend

A264616 Irregular triangle read by rows: T(n,k) = number of unsigned unichromosonal genomes with n genes at 4-break distance k from a fixed genome, 0 <= k <= floor((n+1)/3).

%I A264616 #10 Feb 13 2018 11:13:10
%S A264616 1,1,0,1,1,1,5,1,15,8,1,35,84,1,70,649,1,126,3585,1328,1,210,14949,
%T A264616 25160,1,330,50421,312128,1,495,144903,2621465,861936,1,715,367983,
%U A264616 16015637,23532464,1,1001,847275,76717355,401435968,1,1365,1801943,304775471,4519766436,1400675584
%N A264616 Irregular triangle read by rows: T(n,k) = number of unsigned unichromosonal genomes with n genes at 4-break distance k from a fixed genome, 0 <= k <= floor((n+1)/3).
%H A264616 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 A264616 Triangle begins:
%e A264616 1,
%e A264616 1,0,
%e A264616 1,1,
%e A264616 1,5,
%e A264616 1,15,8,
%e A264616 1,35,84,
%e A264616 1,70,649,
%e A264616 1,126,3585,1328,
%e A264616 1,210,14949,25160,
%e A264616 ...
%Y A264616 Cf. A164652, A189507, A264614, A264615, A264617.
%K A264616 nonn,tabf
%O A264616 1,7
%A A264616 _N. J. A. Sloane_, Nov 28 2015
%E A264616 Extended and offset corrected by _Max Alekseyev_, Feb 13 2018