A317788 - cp's OEIS frontend

A317788 Lexicographically earliest infinite sequence of distinct positive terms such that for any n > 1, the binary representation of a(n) appears as a substring in the binary representation of Sum_{k=1..n-1} a(k).

n	a(n)
1	2
2	1
3	3
4	6
5	4
6	8
7	12
8	9
9	5
10	18
11	17
12	10
13	7
14	19
15	14
16	16
17	11
18	20
19	13
20	24
21	22
22	15
23	32
24	36
25	34
26	25
27	23
28	37
29	27
30	21
31	26
32	64
33	69
34	40
35	43
36	29
37	30
38	35
39	39
40	44
41	28
42	42
43	53
44	129
45	72
46	38
47	31
48	81
49	45
50	50
51	46
52	47
53	49
54	74
55	41
56	54
57	55
58	51
59	52
60	57
61	58
62	128
63	68
64	70
65	140
66	77
67	60

[2, 1, 3, 6, 4, 8, 12, 9, 5, 18, 17, 10, 7, 19, 14, 16, 11, 20, 13, 24, 22, 15, 32, 36, 34, 25, 23, 37, 27, 21, 26, 64, 69, 40, 43, 29, 30, 35, 39, 44, 28, 42, 53, 129, 72, 38, 31, 81, 45, 50, 46, 47, 49, 74, 41, 54, 55, 51, 52, 57, 58, 128, 68, 70, 140, 77, 60]

cp's OEIS Frontend

A317788 Lexicographically earliest infinite sequence of distinct positive terms such that for any n > 1, the binary representation of a(n) appears as a substring in the binary representation of Sum_{k=1..n-1} a(k).

Table of values

List of values

n	a(n)
1	2
2	1
3	3
4	6
5	4
6	8
7	12
8	9
9	5
10	18
11	17
12	10
13	7
14	19
15	14
16	16
17	11
18	20
19	13
20	24
21	22
22	15
23	32
24	36
25	34
26	25
27	23
28	37
29	27
30	21
31	26
32	64
33	69
34	40
35	43
36	29
37	30
38	35
39	39
40	44
41	28
42	42
43	53
44	129
45	72
46	38
47	31
48	81
49	45
50	50
51	46
52	47
53	49
54	74
55	41
56	54
57	55
58	51
59	52
60	57
61	58
62	128
63	68
64	70
65	140
66	77
67	60

n	a(n)
1	2
2	1
3	3
4	6
5	4
6	8
7	12
8	9
9	5
10	18
11	17
12	10
13	7
14	19
15	14
16	16
17	11
18	20
19	13
20	24
21	22
22	15
23	32
24	36
25	34
26	25
27	23
28	37
29	27
30	21
31	26
32	64
33	69
34	40
35	43
36	29
37	30
38	35
39	39
40	44
41	28
42	42
43	53
44	129
45	72
46	38
47	31
48	81
49	45
50	50
51	46
52	47
53	49
54	74
55	41
56	54
57	55
58	51
59	52
60	57
61	58
62	128
63	68
64	70
65	140
66	77
67	60

n	a(n)
1	2
2	1
3	3
4	6
5	4
6	8
7	12
8	9
9	5
10	18
11	17
12	10
13	7
14	19
15	14
16	16
17	11
18	20
19	13
20	24
21	22
22	15
23	32
24	36
25	34
26	25
27	23
28	37
29	27
30	21
31	26
32	64
33	69
34	40
35	43
36	29
37	30
38	35
39	39
40	44
41	28
42	42
43	53
44	129
45	72
46	38
47	31
48	81
49	45
50	50
51	46
52	47
53	49
54	74
55	41
56	54
57	55
58	51
59	52
60	57
61	58
62	128
63	68
64	70
65	140
66	77
67	60