A373553 - cp's OEIS frontend

A373553 For any number m, let m* be the bi-infinite string obtained by repetition of the binary expansion of m; a(n) is the largest positive integer k such that the binary expansions of all positive integers <= k are found within n*.

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

[1, 2, 1, 2, 3, 3, 1, 2, 4, 2, 3, 4, 3, 3, 1, 2, 4, 2, 4, 2, 3, 3, 3, 4, 4, 3, 3, 4, 3, 3, 1, 2, 4, 2, 4, 2, 6, 6, 4, 2, 6, 2, 3, 6, 3, 3, 3, 4, 4, 6, 4, 6, 3, 3, 3, 4, 4, 3, 3, 4, 3, 3, 1, 2, 4, 2, 4, 2, 6, 6, 4, 2, 4, 2, 7, 4, 6, 7, 4, 2, 6, 2, 7, 2, 3, 3, 3]

cp's OEIS Frontend

A373553 For any number m, let m* be the bi-infinite string obtained by repetition of the binary expansion of m; a(n) is the largest positive integer k such that the binary expansions of all positive integers <= k are found within n*.

Table of values

List of values

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

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

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