A208721 - cp's OEIS frontend

A208721 T(n,k) = number of n-bead necklaces labeled with numbers 1..k allowing reversal, with no adjacent beads differing by more than 1.

n	a(n)
1	1
2	2
3	1
4	3
5	3
6	1
7	4
8	5
9	4
10	1
11	5
12	7
13	7
14	6
15	1
16	6
17	9
18	10
19	12
20	8
21	1
22	7
23	11
24	13
25	18
26	18
27	13
28	1
29	8
30	13
31	16
32	24
33	28
34	34
35	18
36	1
37	9
38	15
39	19
40	30
41	38
42	56
43	56
44	30
45	1
46	10
47	17
48	22
49	36
50	48
51	78
52	98
53	111
54	46
55	1
56	11
57	19
58	25
59	42
60	58
61	100
62	140
63	208
64	207
65	78
66	1
67	12
68	21
69	28
70	48
71	68
72	122
73	182
74	306
75	418
76	427
77	126

[1, 2, 1, 3, 3, 1, 4, 5, 4, 1, 5, 7, 7, 6, 1, 6, 9, 10, 12, 8, 1, 7, 11, 13, 18, 18, 13, 1, 8, 13, 16, 24, 28, 34, 18, 1, 9, 15, 19, 30, 38, 56, 56, 30, 1, 10, 17, 22, 36, 48, 78, 98, 111, 46, 1, 11, 19, 25, 42, 58, 100, 140, 208, 207, 78, 1, 12, 21, 28, 48, 68, 122, 182, 306, 418, 427, 126]

cp's OEIS Frontend

A208721 T(n,k) = number of n-bead necklaces labeled with numbers 1..k allowing reversal, with no adjacent beads differing by more than 1.

Table of values

List of values

n	a(n)
1	1
2	2
3	1
4	3
5	3
6	1
7	4
8	5
9	4
10	1
11	5
12	7
13	7
14	6
15	1
16	6
17	9
18	10
19	12
20	8
21	1
22	7
23	11
24	13
25	18
26	18
27	13
28	1
29	8
30	13
31	16
32	24
33	28
34	34
35	18
36	1
37	9
38	15
39	19
40	30
41	38
42	56
43	56
44	30
45	1
46	10
47	17
48	22
49	36
50	48
51	78
52	98
53	111
54	46
55	1
56	11
57	19
58	25
59	42
60	58
61	100
62	140
63	208
64	207
65	78
66	1
67	12
68	21
69	28
70	48
71	68
72	122
73	182
74	306
75	418
76	427
77	126

n	a(n)
1	1
2	2
3	1
4	3
5	3
6	1
7	4
8	5
9	4
10	1
11	5
12	7
13	7
14	6
15	1
16	6
17	9
18	10
19	12
20	8
21	1
22	7
23	11
24	13
25	18
26	18
27	13
28	1
29	8
30	13
31	16
32	24
33	28
34	34
35	18
36	1
37	9
38	15
39	19
40	30
41	38
42	56
43	56
44	30
45	1
46	10
47	17
48	22
49	36
50	48
51	78
52	98
53	111
54	46
55	1
56	11
57	19
58	25
59	42
60	58
61	100
62	140
63	208
64	207
65	78
66	1
67	12
68	21
69	28
70	48
71	68
72	122
73	182
74	306
75	418
76	427
77	126

n	a(n)
1	1
2	2
3	1
4	3
5	3
6	1
7	4
8	5
9	4
10	1
11	5
12	7
13	7
14	6
15	1
16	6
17	9
18	10
19	12
20	8
21	1
22	7
23	11
24	13
25	18
26	18
27	13
28	1
29	8
30	13
31	16
32	24
33	28
34	34
35	18
36	1
37	9
38	15
39	19
40	30
41	38
42	56
43	56
44	30
45	1
46	10
47	17
48	22
49	36
50	48
51	78
52	98
53	111
54	46
55	1
56	11
57	19
58	25
59	42
60	58
61	100
62	140
63	208
64	207
65	78
66	1
67	12
68	21
69	28
70	48
71	68
72	122
73	182
74	306
75	418
76	427
77	126