A262071 - cp's OEIS frontend

A262071 Number T(n,k) of ordered partitions of an n-set with nondecreasing block sizes and maximal block size equal to k; 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	1
6	0
7	6
8	3
9	1
10	0
11	24
12	18
13	4
14	1
15	0
16	120
17	90
18	30
19	5
20	1
21	0
22	720
23	630
24	200
25	45
26	6
27	1
28	0
29	5040
30	4410
31	1610
32	350
33	63
34	7
35	1
36	0
37	40320
38	37800
39	13440
40	3290
41	560
42	84
43	8
44	1
45	0
46	362880
47	340200
48	130200
49	30870
50	5922
51	840
52	108
53	9
54	1
55	0
56	3628800
57	3515400
58	1327200
59	334950
60	61992
61	9870
62	1200
63	135
64	10
65	1

[1, 0, 1, 0, 2, 1, 0, 6, 3, 1, 0, 24, 18, 4, 1, 0, 120, 90, 30, 5, 1, 0, 720, 630, 200, 45, 6, 1, 0, 5040, 4410, 1610, 350, 63, 7, 1, 0, 40320, 37800, 13440, 3290, 560, 84, 8, 1, 0, 362880, 340200, 130200, 30870, 5922, 840, 108, 9, 1, 0, 3628800, 3515400, 1327200, 334950, 61992, 9870, 1200, 135, 10, 1]

cp's OEIS Frontend

A262071 Number T(n,k) of ordered partitions of an n-set with nondecreasing block sizes and maximal block size equal to k; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values