A342512 - cp's OEIS frontend

A342512 a(n) is the number of substrings of the binary representation of n that are instances of the Zimin word Z_k, where k = A342510(n).

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

[1, 1, 3, 3, 6, 1, 6, 1, 1, 1, 2, 2, 10, 2, 1, 3, 3, 2, 4, 2, 3, 4, 4, 4, 1, 2, 3, 4, 1, 4, 3, 6, 6, 4, 6, 3, 6, 6, 5, 4, 5, 6, 7, 6, 5, 8, 6, 7, 3, 3, 5, 4, 4, 6, 6, 7, 2, 4, 5, 7, 3, 7, 6, 10, 10, 7, 9, 5, 10, 8, 7, 5, 9, 9, 10, 8, 8, 9, 7, 7, 8, 8, 11, 8, 9]

cp's OEIS Frontend

A342512 a(n) is the number of substrings of the binary representation of n that are instances of the Zimin word Z_k, where k = A342510(n).

Table of values

List of values

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

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

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