A341911 - cp's OEIS frontend

A341911 Lexicographically earliest sequence of distinct nonnegative integers such that for any n >= 0, the number of ones in the binary expansion of n equals the number of runs in the binary expansion of a(n).

n	a(n)
0	0
1	1
2	3
3	2
4	7
5	4
6	6
7	5
8	15
9	8
10	12
11	9
12	14
13	11
14	13
15	10
16	31
17	16
18	24
19	17
20	28
21	19
22	23
23	18
24	30
25	25
26	27
27	20
28	29
29	22
30	26
31	21
32	63
33	32
34	48
35	33
36	56
37	35
38	39
39	34
40	60
41	47
42	49
43	36
44	51
45	38
46	40
47	37
48	62
49	55
50	57
51	44
52	59
53	46
54	50
55	41
56	61
57	52
58	54
59	43
60	58
61	45
62	53
63	42
64	127
65	64
66	96

[0, 1, 3, 2, 7, 4, 6, 5, 15, 8, 12, 9, 14, 11, 13, 10, 31, 16, 24, 17, 28, 19, 23, 18, 30, 25, 27, 20, 29, 22, 26, 21, 63, 32, 48, 33, 56, 35, 39, 34, 60, 47, 49, 36, 51, 38, 40, 37, 62, 55, 57, 44, 59, 46, 50, 41, 61, 52, 54, 43, 58, 45, 53, 42, 127, 64, 96]

cp's OEIS Frontend

A341911 Lexicographically earliest sequence of distinct nonnegative integers such that for any n >= 0, the number of ones in the binary expansion of n equals the number of runs in the binary expansion of a(n).

Table of values

List of values

n	a(n)
0	0
1	1
2	3
3	2
4	7
5	4
6	6
7	5
8	15
9	8
10	12
11	9
12	14
13	11
14	13
15	10
16	31
17	16
18	24
19	17
20	28
21	19
22	23
23	18
24	30
25	25
26	27
27	20
28	29
29	22
30	26
31	21
32	63
33	32
34	48
35	33
36	56
37	35
38	39
39	34
40	60
41	47
42	49
43	36
44	51
45	38
46	40
47	37
48	62
49	55
50	57
51	44
52	59
53	46
54	50
55	41
56	61
57	52
58	54
59	43
60	58
61	45
62	53
63	42
64	127
65	64
66	96

n	a(n)
0	0
1	1
2	3
3	2
4	7
5	4
6	6
7	5
8	15
9	8
10	12
11	9
12	14
13	11
14	13
15	10
16	31
17	16
18	24
19	17
20	28
21	19
22	23
23	18
24	30
25	25
26	27
27	20
28	29
29	22
30	26
31	21
32	63
33	32
34	48
35	33
36	56
37	35
38	39
39	34
40	60
41	47
42	49
43	36
44	51
45	38
46	40
47	37
48	62
49	55
50	57
51	44
52	59
53	46
54	50
55	41
56	61
57	52
58	54
59	43
60	58
61	45
62	53
63	42
64	127
65	64
66	96

n	a(n)
0	0
1	1
2	3
3	2
4	7
5	4
6	6
7	5
8	15
9	8
10	12
11	9
12	14
13	11
14	13
15	10
16	31
17	16
18	24
19	17
20	28
21	19
22	23
23	18
24	30
25	25
26	27
27	20
28	29
29	22
30	26
31	21
32	63
33	32
34	48
35	33
36	56
37	35
38	39
39	34
40	60
41	47
42	49
43	36
44	51
45	38
46	40
47	37
48	62
49	55
50	57
51	44
52	59
53	46
54	50
55	41
56	61
57	52
58	54
59	43
60	58
61	45
62	53
63	42
64	127
65	64
66	96