A276837 - cp's OEIS frontend

A276837 Number A(n,k) of permutations of [n] such that for each cycle c the smallest integer interval containing all elements of c 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	6
25	5
26	1
27	0
28	1
29	1
30	2
31	6
32	12
33	8
34	1
35	0
36	1
37	1
38	2
39	6
40	24
41	25
42	13
43	1
44	0
45	1
46	1
47	2
48	6
49	24
50	60
51	57
52	21
53	1
54	0
55	1
56	1
57	2
58	6
59	24
60	120
61	150
62	124
63	34
64	1
65	0
66	1
67	1
68	2
69	6
70	24
71	120
72	360
73	399
74	268
75	55
76	1
77	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, 6, 5, 1, 0, 1, 1, 2, 6, 12, 8, 1, 0, 1, 1, 2, 6, 24, 25, 13, 1, 0, 1, 1, 2, 6, 24, 60, 57, 21, 1, 0, 1, 1, 2, 6, 24, 120, 150, 124, 34, 1, 0, 1, 1, 2, 6, 24, 120, 360, 399, 268, 55, 1, 0]

cp's OEIS Frontend

A276837 Number A(n,k) of permutations of [n] such that for each cycle c the smallest integer interval containing all elements of c 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	6
25	5
26	1
27	0
28	1
29	1
30	2
31	6
32	12
33	8
34	1
35	0
36	1
37	1
38	2
39	6
40	24
41	25
42	13
43	1
44	0
45	1
46	1
47	2
48	6
49	24
50	60
51	57
52	21
53	1
54	0
55	1
56	1
57	2
58	6
59	24
60	120
61	150
62	124
63	34
64	1
65	0
66	1
67	1
68	2
69	6
70	24
71	120
72	360
73	399
74	268
75	55
76	1
77	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	6
25	5
26	1
27	0
28	1
29	1
30	2
31	6
32	12
33	8
34	1
35	0
36	1
37	1
38	2
39	6
40	24
41	25
42	13
43	1
44	0
45	1
46	1
47	2
48	6
49	24
50	60
51	57
52	21
53	1
54	0
55	1
56	1
57	2
58	6
59	24
60	120
61	150
62	124
63	34
64	1
65	0
66	1
67	1
68	2
69	6
70	24
71	120
72	360
73	399
74	268
75	55
76	1
77	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	6
25	5
26	1
27	0
28	1
29	1
30	2
31	6
32	12
33	8
34	1
35	0
36	1
37	1
38	2
39	6
40	24
41	25
42	13
43	1
44	0
45	1
46	1
47	2
48	6
49	24
50	60
51	57
52	21
53	1
54	0
55	1
56	1
57	2
58	6
59	24
60	120
61	150
62	124
63	34
64	1
65	0
66	1
67	1
68	2
69	6
70	24
71	120
72	360
73	399
74	268
75	55
76	1
77	0