A259776 - cp's OEIS frontend

A259776 Number A(n,k) of permutations p of [n] with no fixed points and displacement of elements restricted by k: 1 <= |p(i)-i| <= k, square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	0
3	1
4	0
5	0
6	1
7	0
8	1
9	0
10	1
11	0
12	1
13	0
14	0
15	1
16	0
17	1
18	2
19	1
20	0
21	1
22	0
23	1
24	2
25	4
26	0
27	0
28	1
29	0
30	1
31	2
32	9
33	6
34	1
35	0
36	1
37	0
38	1
39	2
40	9
41	24
42	13
43	0
44	0
45	1
46	0
47	1
48	2
49	9
50	44
51	57
52	24
53	1
54	0
55	1
56	0
57	1
58	2
59	9
60	44
61	168
62	140
63	45
64	0
65	0
66	1
67	0
68	1
69	2
70	9
71	44
72	265
73	536
74	376
75	84
76	1
77	0

[1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 4, 0, 0, 1, 0, 1, 2, 9, 6, 1, 0, 1, 0, 1, 2, 9, 24, 13, 0, 0, 1, 0, 1, 2, 9, 44, 57, 24, 1, 0, 1, 0, 1, 2, 9, 44, 168, 140, 45, 0, 0, 1, 0, 1, 2, 9, 44, 265, 536, 376, 84, 1, 0]

cp's OEIS Frontend

A259776 Number A(n,k) of permutations p of [n] with no fixed points and displacement of elements restricted by k: 1 <= |p(i)-i| <= k, 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	0
5	0
6	1
7	0
8	1
9	0
10	1
11	0
12	1
13	0
14	0
15	1
16	0
17	1
18	2
19	1
20	0
21	1
22	0
23	1
24	2
25	4
26	0
27	0
28	1
29	0
30	1
31	2
32	9
33	6
34	1
35	0
36	1
37	0
38	1
39	2
40	9
41	24
42	13
43	0
44	0
45	1
46	0
47	1
48	2
49	9
50	44
51	57
52	24
53	1
54	0
55	1
56	0
57	1
58	2
59	9
60	44
61	168
62	140
63	45
64	0
65	0
66	1
67	0
68	1
69	2
70	9
71	44
72	265
73	536
74	376
75	84
76	1
77	0

n	a(n)
0	1
1	1
2	0
3	1
4	0
5	0
6	1
7	0
8	1
9	0
10	1
11	0
12	1
13	0
14	0
15	1
16	0
17	1
18	2
19	1
20	0
21	1
22	0
23	1
24	2
25	4
26	0
27	0
28	1
29	0
30	1
31	2
32	9
33	6
34	1
35	0
36	1
37	0
38	1
39	2
40	9
41	24
42	13
43	0
44	0
45	1
46	0
47	1
48	2
49	9
50	44
51	57
52	24
53	1
54	0
55	1
56	0
57	1
58	2
59	9
60	44
61	168
62	140
63	45
64	0
65	0
66	1
67	0
68	1
69	2
70	9
71	44
72	265
73	536
74	376
75	84
76	1
77	0

n	a(n)
0	1
1	1
2	0
3	1
4	0
5	0
6	1
7	0
8	1
9	0
10	1
11	0
12	1
13	0
14	0
15	1
16	0
17	1
18	2
19	1
20	0
21	1
22	0
23	1
24	2
25	4
26	0
27	0
28	1
29	0
30	1
31	2
32	9
33	6
34	1
35	0
36	1
37	0
38	1
39	2
40	9
41	24
42	13
43	0
44	0
45	1
46	0
47	1
48	2
49	9
50	44
51	57
52	24
53	1
54	0
55	1
56	0
57	1
58	2
59	9
60	44
61	168
62	140
63	45
64	0
65	0
66	1
67	0
68	1
69	2
70	9
71	44
72	265
73	536
74	376
75	84
76	1
77	0