A287641 - cp's OEIS frontend

A287641 Number A(n,k) of set partitions of [n] such that j is member of block b only if b = 1 or at least one of j-1, ..., j-k is member of a block >= b-1; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	2
13	5
14	1
15	1
16	1
17	2
18	5
19	14
20	1
21	1
22	1
23	2
24	5
25	15
26	42
27	1
28	1
29	1
30	2
31	5
32	15
33	51
34	132
35	1
36	1
37	1
38	2
39	5
40	15
41	52
42	191
43	429
44	1
45	1
46	1
47	2
48	5
49	15
50	52
51	202
52	773
53	1430
54	1
55	1
56	1
57	2
58	5
59	15
60	52
61	203
62	861
63	3336
64	4862
65	1
66	1
67	1
68	2
69	5
70	15
71	52
72	203
73	876
74	3970
75	15207
76	16796
77	1

[1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 1, 1, 2, 5, 14, 1, 1, 1, 2, 5, 15, 42, 1, 1, 1, 2, 5, 15, 51, 132, 1, 1, 1, 2, 5, 15, 52, 191, 429, 1, 1, 1, 2, 5, 15, 52, 202, 773, 1430, 1, 1, 1, 2, 5, 15, 52, 203, 861, 3336, 4862, 1, 1, 1, 2, 5, 15, 52, 203, 876, 3970, 15207, 16796, 1]

cp's OEIS Frontend

A287641 Number A(n,k) of set partitions of [n] such that j is member of block b only if b = 1 or at least one of j-1, ..., j-k is member of a block >= b-1; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values