A208727 - cp's OEIS frontend

A208727 T(n,k)=Number of 2n-bead necklaces labeled with numbers 1..k not allowing reversal, with neighbors differing by exactly 1.

n	a(n)
1	0
2	1
3	0
4	2
5	1
6	0
7	3
8	3
9	1
10	0
11	4
12	5
13	4
14	1
15	0
16	5
17	7
18	8
19	6
20	1
21	0
22	6
23	9
24	12
25	15
26	8
27	1
28	0
29	7
30	11
31	16
32	25
33	27
34	14
35	1
36	0
37	8
38	13
39	20
40	35
41	52
42	60
43	20
44	1
45	0
46	9
47	15
48	24
49	45
50	78
51	131
52	123
53	36
54	1
55	0
56	10
57	17
58	28
59	55
60	104
61	210
62	316
63	285
64	60
65	1
66	0
67	11
68	19
69	32
70	65
71	130
72	290
73	551
74	835
75	648
76	108
77	1
78	0
79	12
80	21
81	36

[0, 1, 0, 2, 1, 0, 3, 3, 1, 0, 4, 5, 4, 1, 0, 5, 7, 8, 6, 1, 0, 6, 9, 12, 15, 8, 1, 0, 7, 11, 16, 25, 27, 14, 1, 0, 8, 13, 20, 35, 52, 60, 20, 1, 0, 9, 15, 24, 45, 78, 131, 123, 36, 1, 0, 10, 17, 28, 55, 104, 210, 316, 285, 60, 1, 0, 11, 19, 32, 65, 130, 290, 551, 835, 648, 108, 1, 0, 12, 21, 36]

cp's OEIS Frontend

A208727 T(n,k)=Number of 2n-bead necklaces labeled with numbers 1..k not allowing reversal, with neighbors differing by exactly 1.

Table of values

List of values

n	a(n)
1	0
2	1
3	0
4	2
5	1
6	0
7	3
8	3
9	1
10	0
11	4
12	5
13	4
14	1
15	0
16	5
17	7
18	8
19	6
20	1
21	0
22	6
23	9
24	12
25	15
26	8
27	1
28	0
29	7
30	11
31	16
32	25
33	27
34	14
35	1
36	0
37	8
38	13
39	20
40	35
41	52
42	60
43	20
44	1
45	0
46	9
47	15
48	24
49	45
50	78
51	131
52	123
53	36
54	1
55	0
56	10
57	17
58	28
59	55
60	104
61	210
62	316
63	285
64	60
65	1
66	0
67	11
68	19
69	32
70	65
71	130
72	290
73	551
74	835
75	648
76	108
77	1
78	0
79	12
80	21
81	36

n	a(n)
1	0
2	1
3	0
4	2
5	1
6	0
7	3
8	3
9	1
10	0
11	4
12	5
13	4
14	1
15	0
16	5
17	7
18	8
19	6
20	1
21	0
22	6
23	9
24	12
25	15
26	8
27	1
28	0
29	7
30	11
31	16
32	25
33	27
34	14
35	1
36	0
37	8
38	13
39	20
40	35
41	52
42	60
43	20
44	1
45	0
46	9
47	15
48	24
49	45
50	78
51	131
52	123
53	36
54	1
55	0
56	10
57	17
58	28
59	55
60	104
61	210
62	316
63	285
64	60
65	1
66	0
67	11
68	19
69	32
70	65
71	130
72	290
73	551
74	835
75	648
76	108
77	1
78	0
79	12
80	21
81	36

n	a(n)
1	0
2	1
3	0
4	2
5	1
6	0
7	3
8	3
9	1
10	0
11	4
12	5
13	4
14	1
15	0
16	5
17	7
18	8
19	6
20	1
21	0
22	6
23	9
24	12
25	15
26	8
27	1
28	0
29	7
30	11
31	16
32	25
33	27
34	14
35	1
36	0
37	8
38	13
39	20
40	35
41	52
42	60
43	20
44	1
45	0
46	9
47	15
48	24
49	45
50	78
51	131
52	123
53	36
54	1
55	0
56	10
57	17
58	28
59	55
60	104
61	210
62	316
63	285
64	60
65	1
66	0
67	11
68	19
69	32
70	65
71	130
72	290
73	551
74	835
75	648
76	108
77	1
78	0
79	12
80	21
81	36