A300654 - cp's OEIS frontend

A300654 a(n) is the greatest k such that, for i = 1..k, the binary representation of i appears as a substring in the binary representation of 1/n (ignoring the radix point and adding trailing zeros if necessary in case of a terminating expansion).

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

[2, 2, 2, 2, 4, 2, 2, 2, 4, 4, 8, 2, 9, 2, 2, 2, 4, 4, 16, 4, 4, 8, 6, 2, 8, 9, 11, 2, 20, 2, 2, 2, 4, 4, 8, 4, 32, 16, 6, 4, 4, 4, 8, 8, 6, 6, 12, 2, 12, 8, 2, 9, 33, 11, 10, 2, 8, 20, 37, 2, 41, 2, 2, 2, 4, 4, 64, 4, 14, 8, 14, 4, 4, 32, 11, 16, 17, 6, 22, 4]

cp's OEIS Frontend

A300654 a(n) is the greatest k such that, for i = 1..k, the binary representation of i appears as a substring in the binary representation of 1/n (ignoring the radix point and adding trailing zeros if necessary in case of a terminating expansion).

Table of values

List of values

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

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

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