A296616 - cp's OEIS frontend

A296616 Lexicographically earliest sequence of distinct positive terms such that, for any n > 0, the binary expansion of a(n) * a(n + 1) starts with the binary expansion of n.

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

[1, 2, 4, 3, 6, 7, 14, 8, 16, 9, 18, 5, 10, 11, 21, 12, 22, 13, 23, 27, 24, 28, 26, 29, 53, 31, 54, 32, 56, 17, 57, 35, 15, 36, 61, 37, 63, 19, 64, 39, 33, 20, 34, 41, 69, 42, 71, 43, 72, 44, 73, 45, 74, 46, 38, 47, 77, 48, 78, 49, 79, 25, 40, 51, 81, 52, 82]

cp's OEIS Frontend

A296616 Lexicographically earliest sequence of distinct positive terms such that, for any n > 0, the binary expansion of a(n) * a(n + 1) starts with the binary expansion of n.

Table of values

List of values

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

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

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