A264614
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).
Original entry on oeis.org
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, 84, 2142, 16196, 21897, 1, 120, 4746, 64520, 222573, 70920, 1, 165, 9570, 212498, 1486749, 1919817, 1, 220, 17919, 606584, 7503815, 24312636, 7475625, 1, 286, 31603, 1548404, 30891575, 200350670, 246179061
Offset: 1
Triangle begins:
1,
1,0,
1,1,
1,4,1,
1,10,13,
1,20,75,24,
1,35,287,397,
1,56,854,3112,1017,
1,84,2142,16196,21897,
...
- 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
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).
Original entry on oeis.org
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
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,
...
- 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
A264617
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).
Original entry on oeis.org
1, 1, 1, 1, 7, 1, 47, 1, 175, 208, 1, 470, 3369, 1, 1036, 45043, 1, 2002, 315213, 327904, 1, 3522, 1472157, 8846240, 1, 5775, 5287071, 180501713, 1, 8965, 15795483, 1908769247, 1791317504, 1, 13321, 41169051, 13068136571, 68640287456, 1, 19097, 96558891, 66722214923, 1895171760688
Offset: 1
Triangle begins:
1,
1,1,
1,7,
1,47,
1,175,208,
1,470,3369,
1,1036,45043,
1,2002,315213,327904,
1,3522,1472157,8846240,
...
- 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
Showing 1-3 of 3 results.