A381299 - cp's OEIS frontend

A381299 Irregular triangular array read by rows. T(n,k) is the number of ordered set partitions of [n] with exactly k descents, n>=0, 0<=k<=binomial(n,2).

n	a(n)
0	1
1	1
2	2
3	1
4	4
5	4
6	4
7	1
8	8
9	12
10	18
11	18
12	12
13	6
14	1
15	16
16	32
17	60
18	84
19	100
20	92
21	76
22	48
23	24
24	8
25	1
26	32
27	80
28	176
29	300
30	448
31	572
32	650
33	658
34	596
35	478
36	334
37	206
38	102
39	40
40	10
41	1
42	64
43	192
44	480
45	944
46	1632
47	2476
48	3428
49	4300
50	5008
51	5372
52	5356
53	4936
54	4220
55	3316
56	2392
57	1556
58	904
59	456
60	188
61	60
62	12
63	1

[1, 1, 2, 1, 4, 4, 4, 1, 8, 12, 18, 18, 12, 6, 1, 16, 32, 60, 84, 100, 92, 76, 48, 24, 8, 1, 32, 80, 176, 300, 448, 572, 650, 658, 596, 478, 334, 206, 102, 40, 10, 1, 64, 192, 480, 944, 1632, 2476, 3428, 4300, 5008, 5372, 5356, 4936, 4220, 3316, 2392, 1556, 904, 456, 188, 60, 12, 1]

cp's OEIS Frontend

A381299 Irregular triangular array read by rows. T(n,k) is the number of ordered set partitions of [n] with exactly k descents, n>=0, 0<=k<=binomial(n,2).

Table of values

List of values