A371343 - cp's OEIS frontend

A371343 Lexicographically latest sequence of distinct nonnegative integers such that for any n >= 0, the binary expansions of n and of a(n) have the same length (A070939) and the same number of runs of consecutive equals digits (A005811).

n	a(n)
0	0
1	1
2	2
3	3
4	6
5	5
6	4
7	7
8	14
9	13
10	10
11	11
12	12
13	9
14	8
15	15
16	30
17	29
18	26
19	27
20	22
21	21
22	20
23	25
24	28
25	23
26	18
27	19
28	24
29	17
30	16
31	31
32	62
33	61
34	58
35	59
36	54
37	53
38	52
39	57
40	50
41	45
42	42
43	43
44	46
45	41
46	44
47	55
48	60
49	51
50	40
51	49
52	38
53	37
54	36
55	47
56	56
57	39
58	34
59	35
60	48
61	33
62	32
63	63
64	126
65	125
66	122

[0, 1, 2, 3, 6, 5, 4, 7, 14, 13, 10, 11, 12, 9, 8, 15, 30, 29, 26, 27, 22, 21, 20, 25, 28, 23, 18, 19, 24, 17, 16, 31, 62, 61, 58, 59, 54, 53, 52, 57, 50, 45, 42, 43, 46, 41, 44, 55, 60, 51, 40, 49, 38, 37, 36, 47, 56, 39, 34, 35, 48, 33, 32, 63, 126, 125, 122]

cp's OEIS Frontend

A371343 Lexicographically latest sequence of distinct nonnegative integers such that for any n >= 0, the binary expansions of n and of a(n) have the same length (A070939) and the same number of runs of consecutive equals digits (A005811).

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	3
4	6
5	5
6	4
7	7
8	14
9	13
10	10
11	11
12	12
13	9
14	8
15	15
16	30
17	29
18	26
19	27
20	22
21	21
22	20
23	25
24	28
25	23
26	18
27	19
28	24
29	17
30	16
31	31
32	62
33	61
34	58
35	59
36	54
37	53
38	52
39	57
40	50
41	45
42	42
43	43
44	46
45	41
46	44
47	55
48	60
49	51
50	40
51	49
52	38
53	37
54	36
55	47
56	56
57	39
58	34
59	35
60	48
61	33
62	32
63	63
64	126
65	125
66	122

n	a(n)
0	0
1	1
2	2
3	3
4	6
5	5
6	4
7	7
8	14
9	13
10	10
11	11
12	12
13	9
14	8
15	15
16	30
17	29
18	26
19	27
20	22
21	21
22	20
23	25
24	28
25	23
26	18
27	19
28	24
29	17
30	16
31	31
32	62
33	61
34	58
35	59
36	54
37	53
38	52
39	57
40	50
41	45
42	42
43	43
44	46
45	41
46	44
47	55
48	60
49	51
50	40
51	49
52	38
53	37
54	36
55	47
56	56
57	39
58	34
59	35
60	48
61	33
62	32
63	63
64	126
65	125
66	122

n	a(n)
0	0
1	1
2	2
3	3
4	6
5	5
6	4
7	7
8	14
9	13
10	10
11	11
12	12
13	9
14	8
15	15
16	30
17	29
18	26
19	27
20	22
21	21
22	20
23	25
24	28
25	23
26	18
27	19
28	24
29	17
30	16
31	31
32	62
33	61
34	58
35	59
36	54
37	53
38	52
39	57
40	50
41	45
42	42
43	43
44	46
45	41
46	44
47	55
48	60
49	51
50	40
51	49
52	38
53	37
54	36
55	47
56	56
57	39
58	34
59	35
60	48
61	33
62	32
63	63
64	126
65	125
66	122