A294523 - cp's OEIS frontend

A294523 Lexicographically earliest sequence of positive terms, such that, for any n > 0, the binary expansion of n, say of size k+1, is (1, a(n) mod 2, a^2(n) mod 2, ..., a^k(n) mod 2) (where a^i denotes the i-th iterate of the sequence).

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

[1, 2, 1, 2, 6, 5, 1, 2, 10, 6, 14, 9, 5, 13, 1, 2, 18, 10, 22, 12, 6, 14, 30, 17, 9, 5, 11, 25, 13, 29, 1, 2, 34, 18, 38, 20, 10, 22, 46, 24, 12, 6, 54, 28, 14, 30, 62, 33, 17, 9, 19, 41, 5, 11, 23, 49, 25, 13, 27, 57, 29, 61, 1, 2, 66, 34, 70, 36, 18, 38, 78]

cp's OEIS Frontend

A294523 Lexicographically earliest sequence of positive terms, such that, for any n > 0, the binary expansion of n, say of size k+1, is (1, a(n) mod 2, a^2(n) mod 2, ..., a^k(n) mod 2) (where a^i denotes the i-th iterate of the sequence).

Table of values

List of values

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

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

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