A320341 - cp's OEIS frontend

A320341 Triangle read by rows: T(n,k) is the number of unmarked circular binary words (necklaces) of length n having k occurrences of the pattern 00 (n >= 0 and 0 <= k <= n).

n	a(n)
0	1
1	1
2	1
3	2
4	0
5	1
6	2
7	1
8	0
9	1
10	3
11	1
12	1
13	0
14	1
15	3
16	2
17	1
18	1
19	0
20	1
21	5
22	3
23	3
24	1
25	1
26	0
27	1
28	5
29	5
30	4
31	3
32	1
33	1
34	0
35	1
36	8
37	8
38	8
39	5
40	4
41	1
42	1
43	0
44	1
45	10
46	13
47	13
48	11
49	6
50	4
51	1
52	1
53	0
54	1
55	15
56	21
57	24
58	19
59	14
60	7
61	5
62	1
63	1
64	0
65	1
66	19
67	34
68	40
69	36
70	26
71	17
72	8
73	5
74	1
75	1
76	0
77	1
78	31
79	55
80	71
81	67
82	54
83	34
84	22
85	9
86	6
87	1
88	1
89	0
90	1

[1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 3, 1, 1, 0, 1, 3, 2, 1, 1, 0, 1, 5, 3, 3, 1, 1, 0, 1, 5, 5, 4, 3, 1, 1, 0, 1, 8, 8, 8, 5, 4, 1, 1, 0, 1, 10, 13, 13, 11, 6, 4, 1, 1, 0, 1, 15, 21, 24, 19, 14, 7, 5, 1, 1, 0, 1, 19, 34, 40, 36, 26, 17, 8, 5, 1, 1, 0, 1, 31, 55, 71, 67, 54, 34, 22, 9, 6, 1, 1, 0, 1]

cp's OEIS Frontend

A320341 Triangle read by rows: T(n,k) is the number of unmarked circular binary words (necklaces) of length n having k occurrences of the pattern 00 (n >= 0 and 0 <= k <= n).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	0
5	1
6	2
7	1
8	0
9	1
10	3
11	1
12	1
13	0
14	1
15	3
16	2
17	1
18	1
19	0
20	1
21	5
22	3
23	3
24	1
25	1
26	0
27	1
28	5
29	5
30	4
31	3
32	1
33	1
34	0
35	1
36	8
37	8
38	8
39	5
40	4
41	1
42	1
43	0
44	1
45	10
46	13
47	13
48	11
49	6
50	4
51	1
52	1
53	0
54	1
55	15
56	21
57	24
58	19
59	14
60	7
61	5
62	1
63	1
64	0
65	1
66	19
67	34
68	40
69	36
70	26
71	17
72	8
73	5
74	1
75	1
76	0
77	1
78	31
79	55
80	71
81	67
82	54
83	34
84	22
85	9
86	6
87	1
88	1
89	0
90	1

n	a(n)
0	1
1	1
2	1
3	2
4	0
5	1
6	2
7	1
8	0
9	1
10	3
11	1
12	1
13	0
14	1
15	3
16	2
17	1
18	1
19	0
20	1
21	5
22	3
23	3
24	1
25	1
26	0
27	1
28	5
29	5
30	4
31	3
32	1
33	1
34	0
35	1
36	8
37	8
38	8
39	5
40	4
41	1
42	1
43	0
44	1
45	10
46	13
47	13
48	11
49	6
50	4
51	1
52	1
53	0
54	1
55	15
56	21
57	24
58	19
59	14
60	7
61	5
62	1
63	1
64	0
65	1
66	19
67	34
68	40
69	36
70	26
71	17
72	8
73	5
74	1
75	1
76	0
77	1
78	31
79	55
80	71
81	67
82	54
83	34
84	22
85	9
86	6
87	1
88	1
89	0
90	1

n	a(n)
0	1
1	1
2	1
3	2
4	0
5	1
6	2
7	1
8	0
9	1
10	3
11	1
12	1
13	0
14	1
15	3
16	2
17	1
18	1
19	0
20	1
21	5
22	3
23	3
24	1
25	1
26	0
27	1
28	5
29	5
30	4
31	3
32	1
33	1
34	0
35	1
36	8
37	8
38	8
39	5
40	4
41	1
42	1
43	0
44	1
45	10
46	13
47	13
48	11
49	6
50	4
51	1
52	1
53	0
54	1
55	15
56	21
57	24
58	19
59	14
60	7
61	5
62	1
63	1
64	0
65	1
66	19
67	34
68	40
69	36
70	26
71	17
72	8
73	5
74	1
75	1
76	0
77	1
78	31
79	55
80	71
81	67
82	54
83	34
84	22
85	9
86	6
87	1
88	1
89	0
90	1