A323128 - cp's OEIS frontend

A323128 Number T(n,k) of colored set partitions of [n] where elements of subsets have distinct colors 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	4
6	0
7	1
8	18
9	30
10	0
11	1
12	74
13	360
14	360
15	0
16	1
17	310
18	3450
19	8880
20	6240
21	0
22	1
23	1382
24	31770
25	160080
26	271800
27	146160
28	0
29	1
30	6510
31	298662
32	2635920
33	8152200
34	10190880
35	4420080
36	0
37	1
38	32398
39	2918244
40	42687960
41	214527600
42	468669600
43	460474560
44	166924800

[1, 0, 1, 0, 1, 4, 0, 1, 18, 30, 0, 1, 74, 360, 360, 0, 1, 310, 3450, 8880, 6240, 0, 1, 1382, 31770, 160080, 271800, 146160, 0, 1, 6510, 298662, 2635920, 8152200, 10190880, 4420080, 0, 1, 32398, 2918244, 42687960, 214527600, 468669600, 460474560, 166924800]

cp's OEIS Frontend

A323128 Number T(n,k) of colored set partitions of [n] where elements of subsets have distinct colors and exactly k colors are used; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values