A091378 - cp's OEIS frontend

A091378 Triangle read by rows: T(m,n) = number of weak factorization systems (trivial Quillen model structures) on the poset of order-preserving maps from [m] to [n+1] (where [m] denotes the total order on m objects), viewed as a category.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	5
8	5
9	1
10	1
11	14
12	96
13	14
14	1
15	1
16	42
17	6560
18	6560
19	42
20	1
21	1
22	132
23	1738535
24	771496766
25	1738535
26	132
27	1
28	1
29	429
30	2347585784

[1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 14, 96, 14, 1, 1, 42, 6560, 6560, 42, 1, 1, 132, 1738535, 771496766, 1738535, 132, 1, 1, 429, 2347585784]