A321296 - cp's OEIS frontend

A321296 Number T(n,k) of colored set partitions of [n] where colors of the elements of subsets are in (weakly) 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	2
5	3
6	0
7	5
8	20
9	16
10	0
11	15
12	122
13	237
14	131
15	0
16	52
17	774
18	2751
19	3524
20	1496
21	0
22	203
23	5247
24	30470
25	68000
26	65055
27	22482
28	0
29	877
30	38198
31	341244
32	1181900
33	1913465
34	1462320
35	426833
36	0
37	4140
38	298139
39	3949806
40	19946654
41	48636035
42	61692855
43	39282229
44	9934563

[1, 0, 1, 0, 2, 3, 0, 5, 20, 16, 0, 15, 122, 237, 131, 0, 52, 774, 2751, 3524, 1496, 0, 203, 5247, 30470, 68000, 65055, 22482, 0, 877, 38198, 341244, 1181900, 1913465, 1462320, 426833, 0, 4140, 298139, 3949806, 19946654, 48636035, 61692855, 39282229, 9934563]

cp's OEIS Frontend

A321296 Number T(n,k) of colored set partitions of [n] where colors of the elements of subsets are in (weakly) 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