A322670 - cp's OEIS frontend

A322670 Number T(n,k) of colored set partitions of [n] where colors of the elements of subsets are distinct and in increasing order and exactly k colors are used; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	3
6	0
7	1
8	12
9	16
10	0
11	1
12	41
13	156
14	131
15	0
16	1
17	140
18	1155
19	2460
20	1496
21	0
22	1
23	497
24	8020
25	32600
26	47355
27	22482
28	0
29	1
30	1848
31	55629
32	385420
33	1004360
34	1098678
35	426833
36	0
37	1
38	7191
39	394884
40	4396189
41	18304510
42	34625304
43	30259712
44	9934563

[1, 0, 1, 0, 1, 3, 0, 1, 12, 16, 0, 1, 41, 156, 131, 0, 1, 140, 1155, 2460, 1496, 0, 1, 497, 8020, 32600, 47355, 22482, 0, 1, 1848, 55629, 385420, 1004360, 1098678, 426833, 0, 1, 7191, 394884, 4396189, 18304510, 34625304, 30259712, 9934563]

cp's OEIS Frontend

A322670 Number T(n,k) of colored set partitions of [n] where colors of the elements of subsets are distinct and in increasing order and exactly k colors are used; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values