A276719 - cp's OEIS frontend

A276719 Number A(n,k) of set partitions of [n] such that for each block b the smallest integer interval containing b has at most k elements; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	1
14	0
15	1
16	1
17	2
18	3
19	1
20	0
21	1
22	1
23	2
24	5
25	5
26	1
27	0
28	1
29	1
30	2
31	5
32	10
33	8
34	1
35	0
36	1
37	1
38	2
39	5
40	15
41	20
42	13
43	1
44	0
45	1
46	1
47	2
48	5
49	15
50	37
51	42
52	21
53	1
54	0
55	1
56	1
57	2
58	5
59	15
60	52
61	87
62	87
63	34
64	1
65	0
66	1
67	1
68	2
69	5
70	15
71	52
72	151
73	208
74	179
75	55
76	1
77	0
78	1
79	1
80	2
81	5
82	15
83	52
84	203
85	409
86	515
87	370
88	89
89	1
90	0

[1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 3, 1, 0, 1, 1, 2, 5, 5, 1, 0, 1, 1, 2, 5, 10, 8, 1, 0, 1, 1, 2, 5, 15, 20, 13, 1, 0, 1, 1, 2, 5, 15, 37, 42, 21, 1, 0, 1, 1, 2, 5, 15, 52, 87, 87, 34, 1, 0, 1, 1, 2, 5, 15, 52, 151, 208, 179, 55, 1, 0, 1, 1, 2, 5, 15, 52, 203, 409, 515, 370, 89, 1, 0]

cp's OEIS Frontend

A276719 Number A(n,k) of set partitions of [n] such that for each block b the smallest integer interval containing b has at most k elements; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	1
14	0
15	1
16	1
17	2
18	3
19	1
20	0
21	1
22	1
23	2
24	5
25	5
26	1
27	0
28	1
29	1
30	2
31	5
32	10
33	8
34	1
35	0
36	1
37	1
38	2
39	5
40	15
41	20
42	13
43	1
44	0
45	1
46	1
47	2
48	5
49	15
50	37
51	42
52	21
53	1
54	0
55	1
56	1
57	2
58	5
59	15
60	52
61	87
62	87
63	34
64	1
65	0
66	1
67	1
68	2
69	5
70	15
71	52
72	151
73	208
74	179
75	55
76	1
77	0
78	1
79	1
80	2
81	5
82	15
83	52
84	203
85	409
86	515
87	370
88	89
89	1
90	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	1
14	0
15	1
16	1
17	2
18	3
19	1
20	0
21	1
22	1
23	2
24	5
25	5
26	1
27	0
28	1
29	1
30	2
31	5
32	10
33	8
34	1
35	0
36	1
37	1
38	2
39	5
40	15
41	20
42	13
43	1
44	0
45	1
46	1
47	2
48	5
49	15
50	37
51	42
52	21
53	1
54	0
55	1
56	1
57	2
58	5
59	15
60	52
61	87
62	87
63	34
64	1
65	0
66	1
67	1
68	2
69	5
70	15
71	52
72	151
73	208
74	179
75	55
76	1
77	0
78	1
79	1
80	2
81	5
82	15
83	52
84	203
85	409
86	515
87	370
88	89
89	1
90	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	1
14	0
15	1
16	1
17	2
18	3
19	1
20	0
21	1
22	1
23	2
24	5
25	5
26	1
27	0
28	1
29	1
30	2
31	5
32	10
33	8
34	1
35	0
36	1
37	1
38	2
39	5
40	15
41	20
42	13
43	1
44	0
45	1
46	1
47	2
48	5
49	15
50	37
51	42
52	21
53	1
54	0
55	1
56	1
57	2
58	5
59	15
60	52
61	87
62	87
63	34
64	1
65	0
66	1
67	1
68	2
69	5
70	15
71	52
72	151
73	208
74	179
75	55
76	1
77	0
78	1
79	1
80	2
81	5
82	15
83	52
84	203
85	409
86	515
87	370
88	89
89	1
90	0