A202179 Triangle read by rows: T(n,k) = number of n-element unlabeled connected N-free posets of height k (2 <= k <= n).
1, 2, 1, 3, 5, 1, 4, 17, 9, 1, 5, 45, 50, 14, 1, 6, 115, 218, 114, 20, 1, 7, 278, 851, 709, 224, 27, 1, 8, 679, 3161, 3818, 1867, 398, 35, 1, 9, 1666, 11507, 19042, 13113, 4276, 657, 44, 1, 10, 4167, 41837, 91383, 83222, 37898, 8845, 1025, 54, 1
Offset: 2
Examples
Triangle begins: 1 2 1 3 5 1 4 17 9 1 5 45 50 14 1 6 115 218 114 20 1 7 278 851 709 224 27 1 8 679 3161 3818 1867 398 35 1 9 1666 11507 19042 13113 4276 657 44 1 10 4167 41837 91383 83222 37898 8845 1025 54 1 ...
Links
- Soheir M. Khamis, Height counting of unlabeled interval and N-free posets, Discrete Math. 275 (2004), no. 1-3, 165-175.