A115116 - cp's OEIS frontend

A115116 Number of imprimitive (periodic) asymmetric rhythm cycles: ones having nontrivial shift automorphisms. Asymmetric rhythm cycles (A115114): binary necklaces of length 2n subject to the restriction that for any k if the k-th bead is of color 1 then the (k+n)-th bead (modulo 2n) is of color 0.

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	3
7	2
8	1
9	6
10	3
11	2
12	11
13	2
14	3
15	30
16	1
17	2
18	63
19	2
20	11
21	162
22	3
23	2
24	411
25	26
26	3
27	1098
28	11
29	2
30	3015
31	2
32	1
33	8058
34	3
35	182
36	22151
37	2
38	3
39	61326
40	411
41	2
42	170883
43	2
44	11
45	479410
46	3
47	2
48	1345211
49	158
50	2955
51	3798246
52	11
53	2
54	10761723
55	8078
56	411
57	30585834
58	3
59	2
60	87191759
61	2
62	3
63	249057230
64	1
65	61346
66	713205963
67	2
68	11
69	2046590850
70	173775
71	2

[1, 1, 2, 1, 2, 3, 2, 1, 6, 3, 2, 11, 2, 3, 30, 1, 2, 63, 2, 11, 162, 3, 2, 411, 26, 3, 1098, 11, 2, 3015, 2, 1, 8058, 3, 182, 22151, 2, 3, 61326, 411, 2, 170883, 2, 11, 479410, 3, 2, 1345211, 158, 2955, 3798246, 11, 2, 10761723, 8078, 411, 30585834, 3, 2, 87191759, 2, 3, 249057230, 1, 61346, 713205963, 2, 11, 2046590850, 173775, 2]

cp's OEIS Frontend

A115116 Number of imprimitive (periodic) asymmetric rhythm cycles: ones having nontrivial shift automorphisms. Asymmetric rhythm cycles (A115114): binary necklaces of length 2n subject to the restriction that for any k if the k-th bead is of color 1 then the (k+n)-th bead (modulo 2n) is of color 0.

Table of values

List of values