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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). 3

%I #10 Feb 13 2018 11:13:10

%S 1,1,0,1,1,1,5,1,15,8,1,35,84,1,70,649,1,126,3585,1328,1,210,14949,

%T 25160,1,330,50421,312128,1,495,144903,2621465,861936,1,715,367983,

%U 16015637,23532464,1,1001,847275,76717355,401435968,1,1365,1801943,304775471,4519766436,1400675584

%N 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 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 1,5,

%e 1,15,8,

%e 1,35,84,

%e 1,70,649,

%e 1,126,3585,1328,

%e 1,210,14949,25160,

%e ...

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

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Last modified April 19 13:40 EDT 2024. Contains 371792 sequences. (Running on oeis4.)