A262078 - cp's OEIS frontend

A262078 Number T(n,k) of partitions of an n-set with distinct block sizes and maximal block size equal to k; triangle T(n,k), k>=0, k<=n<=k*(k+1)/2, read by columns.

n	a(n)
0	1
1	1
2	1
3	3
4	1
5	4
6	10
7	60
8	1
9	5
10	15
11	140
12	280
13	1260
14	12600
15	1
16	6
17	21
18	224
19	630
20	3780
21	34650
22	110880
23	360360
24	2522520
25	37837800
26	1
27	7
28	28
29	336
30	1050
31	7392
32	74844
33	276276
34	1513512
35	9459450
36	131171040
37	428828400
38	2058376320
39	9777287520
40	97772875200
41	2053230379200

[1, 1, 1, 3, 1, 4, 10, 60, 1, 5, 15, 140, 280, 1260, 12600, 1, 6, 21, 224, 630, 3780, 34650, 110880, 360360, 2522520, 37837800, 1, 7, 28, 336, 1050, 7392, 74844, 276276, 1513512, 9459450, 131171040, 428828400, 2058376320, 9777287520, 97772875200, 2053230379200]

cp's OEIS Frontend

A262078 Number T(n,k) of partitions of an n-set with distinct block sizes and maximal block size equal to k; triangle T(n,k), k>=0, k<=n<=k*(k+1)/2, read by columns.

Table of values

List of values