A308583 - cp's OEIS frontend

A308583 Triangle read by rows: T(n,k) = number of aperiodic chiral bracelets (turnover necklaces with no reflection symmetry and period n) with n beads, k of which are white and n - k are black, for n >= 1 and 1 <= k <= n.

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	0
11	0
12	0
13	0
14	0
15	0
16	0
17	1
18	0
19	0
20	0
21	0
22	0
23	1
24	1
25	0
26	0
27	0
28	0
29	0
30	2
31	2
32	2
33	0
34	0
35	0
36	0
37	0
38	3
39	4
40	4
41	3
42	0
43	0
44	0
45	0
46	0
47	4
48	6
49	10
50	6
51	4
52	0
53	0
54	0
55	0
56	0
57	5
58	10
59	16
60	16
61	10
62	5
63	0
64	0
65	0
66	0
67	0
68	7
69	14
70	28
71	29
72	28
73	14
74	7
75	0
76	0
77	0
78	0
79	0
80	8
81	20
82	42
83	56
84	56
85	42
86	20
87	8
88	0
89	0
90	0
91	0
92	0
93	10
94	26
95	64
96	90
97	113
98	90
99	64
100	26
101	10
102	0
103	0
104	0
105	0
106	0
107	12
108	35
109	90
110	150
111	197
112	197
113	150
114	90
115	35
116	12
117	0
118	0
119	0
120	0
121	0
122	14
123	44
124	126
125	222
126	340
127	368
128	340
129	222
130	126
131	44
132	14
133	0
134	0
135	0

[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 3, 4, 4, 3, 0, 0, 0, 0, 0, 4, 6, 10, 6, 4, 0, 0, 0, 0, 0, 5, 10, 16, 16, 10, 5, 0, 0, 0, 0, 0, 7, 14, 28, 29, 28, 14, 7, 0, 0, 0, 0, 0, 8, 20, 42, 56, 56, 42, 20, 8, 0, 0, 0, 0, 0, 10, 26, 64, 90, 113, 90, 64, 26, 10, 0, 0, 0, 0, 0, 12, 35, 90, 150, 197, 197, 150, 90, 35, 12, 0, 0, 0, 0, 0, 14, 44, 126, 222, 340, 368, 340, 222, 126, 44, 14, 0, 0, 0]

cp's OEIS Frontend

A308583 Triangle read by rows: T(n,k) = number of aperiodic chiral bracelets (turnover necklaces with no reflection symmetry and period n) with n beads, k of which are white and n - k are black, for n >= 1 and 1 <= k <= n.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	0
11	0
12	0
13	0
14	0
15	0
16	0
17	1
18	0
19	0
20	0
21	0
22	0
23	1
24	1
25	0
26	0
27	0
28	0
29	0
30	2
31	2
32	2
33	0
34	0
35	0
36	0
37	0
38	3
39	4
40	4
41	3
42	0
43	0
44	0
45	0
46	0
47	4
48	6
49	10
50	6
51	4
52	0
53	0
54	0
55	0
56	0
57	5
58	10
59	16
60	16
61	10
62	5
63	0
64	0
65	0
66	0
67	0
68	7
69	14
70	28
71	29
72	28
73	14
74	7
75	0
76	0
77	0
78	0
79	0
80	8
81	20
82	42
83	56
84	56
85	42
86	20
87	8
88	0
89	0
90	0
91	0
92	0
93	10
94	26
95	64
96	90
97	113
98	90
99	64
100	26
101	10
102	0
103	0
104	0
105	0
106	0
107	12
108	35
109	90
110	150
111	197
112	197
113	150
114	90
115	35
116	12
117	0
118	0
119	0
120	0
121	0
122	14
123	44
124	126
125	222
126	340
127	368
128	340
129	222
130	126
131	44
132	14
133	0
134	0
135	0

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	0
11	0
12	0
13	0
14	0
15	0
16	0
17	1
18	0
19	0
20	0
21	0
22	0
23	1
24	1
25	0
26	0
27	0
28	0
29	0
30	2
31	2
32	2
33	0
34	0
35	0
36	0
37	0
38	3
39	4
40	4
41	3
42	0
43	0
44	0
45	0
46	0
47	4
48	6
49	10
50	6
51	4
52	0
53	0
54	0
55	0
56	0
57	5
58	10
59	16
60	16
61	10
62	5
63	0
64	0
65	0
66	0
67	0
68	7
69	14
70	28
71	29
72	28
73	14
74	7
75	0
76	0
77	0
78	0
79	0
80	8
81	20
82	42
83	56
84	56
85	42
86	20
87	8
88	0
89	0
90	0
91	0
92	0
93	10
94	26
95	64
96	90
97	113
98	90
99	64
100	26
101	10
102	0
103	0
104	0
105	0
106	0
107	12
108	35
109	90
110	150
111	197
112	197
113	150
114	90
115	35
116	12
117	0
118	0
119	0
120	0
121	0
122	14
123	44
124	126
125	222
126	340
127	368
128	340
129	222
130	126
131	44
132	14
133	0
134	0
135	0

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	0
11	0
12	0
13	0
14	0
15	0
16	0
17	1
18	0
19	0
20	0
21	0
22	0
23	1
24	1
25	0
26	0
27	0
28	0
29	0
30	2
31	2
32	2
33	0
34	0
35	0
36	0
37	0
38	3
39	4
40	4
41	3
42	0
43	0
44	0
45	0
46	0
47	4
48	6
49	10
50	6
51	4
52	0
53	0
54	0
55	0
56	0
57	5
58	10
59	16
60	16
61	10
62	5
63	0
64	0
65	0
66	0
67	0
68	7
69	14
70	28
71	29
72	28
73	14
74	7
75	0
76	0
77	0
78	0
79	0
80	8
81	20
82	42
83	56
84	56
85	42
86	20
87	8
88	0
89	0
90	0
91	0
92	0
93	10
94	26
95	64
96	90
97	113
98	90
99	64
100	26
101	10
102	0
103	0
104	0
105	0
106	0
107	12
108	35
109	90
110	150
111	197
112	197
113	150
114	90
115	35
116	12
117	0
118	0
119	0
120	0
121	0
122	14
123	44
124	126
125	222
126	340
127	368
128	340
129	222
130	126
131	44
132	14
133	0
134	0
135	0