A163381 - cp's OEIS frontend

A163381 a(n) = the (decimal equivalent of the) smallest integer that can be made by rotating the binary digits of n any number of positions to the left or right. a(n) in binary may contain fewer digits, after leading 0's are removed, than n written in binary has.

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

[1, 1, 3, 1, 3, 3, 7, 1, 3, 5, 7, 3, 7, 7, 15, 1, 3, 5, 7, 5, 11, 11, 15, 3, 7, 11, 15, 7, 15, 15, 31, 1, 3, 5, 7, 9, 11, 13, 15, 5, 13, 21, 23, 11, 27, 23, 31, 3, 7, 11, 15, 13, 23, 27, 31, 7, 15, 23, 31, 15, 31, 31, 63, 1, 3, 5, 7, 9, 11, 13, 15, 9, 19, 21, 23, 19, 27, 29, 31, 5, 13, 21, 29]

cp's OEIS Frontend

A163381 a(n) = the (decimal equivalent of the) smallest integer that can be made by rotating the binary digits of n any number of positions to the left or right. a(n) in binary may contain fewer digits, after leading 0's are removed, than n written in binary has.

Table of values

List of values

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

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

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