A305369 - cp's OEIS frontend

A305369 Lexicographically earliest sequence of distinct positive integers such that for each 1 in the binary expansion of a(n), exactly one of a(n-1) and a(n+1) has a 1 in the same position.

n	a(n)
1	1
2	3
3	2
4	4
5	5
6	9
7	8
8	6
9	7
10	17
11	16
12	10
13	11
14	21
15	20
16	32
17	33
18	13
19	12
20	18
21	19
22	37
23	36
24	24
25	25
26	35
27	34
28	28
29	29
30	65
31	64
32	14
33	15
34	49
35	48
36	66
37	67
38	41
39	40
40	22
41	23
42	73
43	72
44	38
45	39
46	81
47	80
48	42
49	43
50	69
51	68
52	26
53	27
54	97
55	96
56	30
57	31
58	129
59	128
60	44
61	45
62	83
63	82
64	132
65	133
66	51
67	50
68	76
69	77
70	131
71	130
72	52
73	53
74	75
75	74
76	144
77	145
78	47
79	46
80	192

[1, 3, 2, 4, 5, 9, 8, 6, 7, 17, 16, 10, 11, 21, 20, 32, 33, 13, 12, 18, 19, 37, 36, 24, 25, 35, 34, 28, 29, 65, 64, 14, 15, 49, 48, 66, 67, 41, 40, 22, 23, 73, 72, 38, 39, 81, 80, 42, 43, 69, 68, 26, 27, 97, 96, 30, 31, 129, 128, 44, 45, 83, 82, 132, 133, 51, 50, 76, 77, 131, 130, 52, 53, 75, 74, 144, 145, 47, 46, 192]

cp's OEIS Frontend

A305369 Lexicographically earliest sequence of distinct positive integers such that for each 1 in the binary expansion of a(n), exactly one of a(n-1) and a(n+1) has a 1 in the same position.

Table of values

List of values

n	a(n)
1	1
2	3
3	2
4	4
5	5
6	9
7	8
8	6
9	7
10	17
11	16
12	10
13	11
14	21
15	20
16	32
17	33
18	13
19	12
20	18
21	19
22	37
23	36
24	24
25	25
26	35
27	34
28	28
29	29
30	65
31	64
32	14
33	15
34	49
35	48
36	66
37	67
38	41
39	40
40	22
41	23
42	73
43	72
44	38
45	39
46	81
47	80
48	42
49	43
50	69
51	68
52	26
53	27
54	97
55	96
56	30
57	31
58	129
59	128
60	44
61	45
62	83
63	82
64	132
65	133
66	51
67	50
68	76
69	77
70	131
71	130
72	52
73	53
74	75
75	74
76	144
77	145
78	47
79	46
80	192

n	a(n)
1	1
2	3
3	2
4	4
5	5
6	9
7	8
8	6
9	7
10	17
11	16
12	10
13	11
14	21
15	20
16	32
17	33
18	13
19	12
20	18
21	19
22	37
23	36
24	24
25	25
26	35
27	34
28	28
29	29
30	65
31	64
32	14
33	15
34	49
35	48
36	66
37	67
38	41
39	40
40	22
41	23
42	73
43	72
44	38
45	39
46	81
47	80
48	42
49	43
50	69
51	68
52	26
53	27
54	97
55	96
56	30
57	31
58	129
59	128
60	44
61	45
62	83
63	82
64	132
65	133
66	51
67	50
68	76
69	77
70	131
71	130
72	52
73	53
74	75
75	74
76	144
77	145
78	47
79	46
80	192

n	a(n)
1	1
2	3
3	2
4	4
5	5
6	9
7	8
8	6
9	7
10	17
11	16
12	10
13	11
14	21
15	20
16	32
17	33
18	13
19	12
20	18
21	19
22	37
23	36
24	24
25	25
26	35
27	34
28	28
29	29
30	65
31	64
32	14
33	15
34	49
35	48
36	66
37	67
38	41
39	40
40	22
41	23
42	73
43	72
44	38
45	39
46	81
47	80
48	42
49	43
50	69
51	68
52	26
53	27
54	97
55	96
56	30
57	31
58	129
59	128
60	44
61	45
62	83
63	82
64	132
65	133
66	51
67	50
68	76
69	77
70	131
71	130
72	52
73	53
74	75
75	74
76	144
77	145
78	47
79	46
80	192