A371692 - cp's OEIS frontend

A371692 Table(n,k) of binary strings of length n which have the same number of k long 0...00 and 0...01 substrings, where n>=0 and k>=2, read by downwards antidiagonals.

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	2
7	1
8	2
9	4
10	3
11	1
12	2
13	4
14	6
15	6
16	1
17	2
18	4
19	8
20	11
21	9
22	1
23	2
24	4
25	8
26	14
27	19
28	15
29	1
30	2
31	4
32	8
33	16
34	27
35	35
36	30
37	1
38	2
39	4
40	8
41	16
42	30
43	51
44	61
45	54
46	1
47	2
48	4
49	8
50	16
51	32
52	59
53	96
54	111
55	97
56	1
57	2
58	4
59	8
60	16
61	32
62	62
63	115
64	183
65	200
66	189
67	1
68	2
69	4
70	8
71	16
72	32
73	64
74	123

[1, 1, 2, 1, 2, 2, 1, 2, 4, 3, 1, 2, 4, 6, 6, 1, 2, 4, 8, 11, 9, 1, 2, 4, 8, 14, 19, 15, 1, 2, 4, 8, 16, 27, 35, 30, 1, 2, 4, 8, 16, 30, 51, 61, 54, 1, 2, 4, 8, 16, 32, 59, 96, 111, 97, 1, 2, 4, 8, 16, 32, 62, 115, 183, 200, 189, 1, 2, 4, 8, 16, 32, 64, 123]

cp's OEIS Frontend

A371692 Table(n,k) of binary strings of length n which have the same number of k long 0...00 and 0...01 substrings, where n>=0 and k>=2, read by downwards antidiagonals.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	2
7	1
8	2
9	4
10	3
11	1
12	2
13	4
14	6
15	6
16	1
17	2
18	4
19	8
20	11
21	9
22	1
23	2
24	4
25	8
26	14
27	19
28	15
29	1
30	2
31	4
32	8
33	16
34	27
35	35
36	30
37	1
38	2
39	4
40	8
41	16
42	30
43	51
44	61
45	54
46	1
47	2
48	4
49	8
50	16
51	32
52	59
53	96
54	111
55	97
56	1
57	2
58	4
59	8
60	16
61	32
62	62
63	115
64	183
65	200
66	189
67	1
68	2
69	4
70	8
71	16
72	32
73	64
74	123

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	2
7	1
8	2
9	4
10	3
11	1
12	2
13	4
14	6
15	6
16	1
17	2
18	4
19	8
20	11
21	9
22	1
23	2
24	4
25	8
26	14
27	19
28	15
29	1
30	2
31	4
32	8
33	16
34	27
35	35
36	30
37	1
38	2
39	4
40	8
41	16
42	30
43	51
44	61
45	54
46	1
47	2
48	4
49	8
50	16
51	32
52	59
53	96
54	111
55	97
56	1
57	2
58	4
59	8
60	16
61	32
62	62
63	115
64	183
65	200
66	189
67	1
68	2
69	4
70	8
71	16
72	32
73	64
74	123

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	2
7	1
8	2
9	4
10	3
11	1
12	2
13	4
14	6
15	6
16	1
17	2
18	4
19	8
20	11
21	9
22	1
23	2
24	4
25	8
26	14
27	19
28	15
29	1
30	2
31	4
32	8
33	16
34	27
35	35
36	30
37	1
38	2
39	4
40	8
41	16
42	30
43	51
44	61
45	54
46	1
47	2
48	4
49	8
50	16
51	32
52	59
53	96
54	111
55	97
56	1
57	2
58	4
59	8
60	16
61	32
62	62
63	115
64	183
65	200
66	189
67	1
68	2
69	4
70	8
71	16
72	32
73	64
74	123