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).

1, 1, 0, 1, 1, 1, 5, 1, 15, 8, 1, 35, 84, 1, 70, 649, 1, 126, 3585, 1328, 1, 210, 14949, 25160, 1, 330, 50421, 312128, 1, 495, 144903, 2621465, 861936, 1, 715, 367983, 16015637, 23532464, 1, 1001, 847275, 76717355, 401435968, 1, 1365, 1801943, 304775471, 4519766436, 1400675584

Offset

1,7

Links

Table of n, a(n) for n=1..49.

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:10.1089/cmb.2016.0190 arXiv:1503.05285

Example

Triangle begins:
1,
1,0,
1,1,
1,5,
1,15,8,
1,35,84,
1,70,649,
1,126,3585,1328,
1,210,14949,25160,
...

Crossrefs

Cf. A164652, A189507, A264614, A264615, A264617.

Sequence in context: A039807 A213590 A185263 * A157395 A157385 A157397

Adjacent sequences: A264613 A264614 A264615 * A264617 A264618 A264619

Keyword

nonn,tabf

Author

N. J. A. Sloane, Nov 28 2015

Extensions

Extended and offset corrected by Max Alekseyev, Feb 13 2018

Status

approved