A160855 - cp's OEIS frontend

A160855 a(n) is the smallest positive integer not occurring earlier in the sequence such that Sum_{k=1..n} a(k) written in binary contains binary n as a substring.

n	a(n)
1	1
2	3
3	2
4	6
5	8
6	4
7	5
8	11
9	10
10	24
11	12
12	13
13	7
14	9
15	28
16	17
17	36
18	14
19	20
20	46
21	22
22	44
23	25
24	18
25	15
26	16
27	19
28	21
29	23
30	26
31	38
32	33
33	68
34	30
35	37
36	29
37	65
38	39
39	27
40	57
41	50
42	88
43	45
44	85
45	47
46	83
47	48
48	34
49	49
50	51
51	79
52	53
53	56
54	32
55	31
56	35
57	40
58	41
59	42
60	63
61	58
62	72
63	64
64	66
65	69
66	61
67	129
68	93
69	106
70	60
71	86

[1, 3, 2, 6, 8, 4, 5, 11, 10, 24, 12, 13, 7, 9, 28, 17, 36, 14, 20, 46, 22, 44, 25, 18, 15, 16, 19, 21, 23, 26, 38, 33, 68, 30, 37, 29, 65, 39, 27, 57, 50, 88, 45, 85, 47, 83, 48, 34, 49, 51, 79, 53, 56, 32, 31, 35, 40, 41, 42, 63, 58, 72, 64, 66, 69, 61, 129, 93, 106, 60, 86]

cp's OEIS Frontend

A160855 a(n) is the smallest positive integer not occurring earlier in the sequence such that Sum_{k=1..n} a(k) written in binary contains binary n as a substring.

Table of values

List of values

n	a(n)
1	1
2	3
3	2
4	6
5	8
6	4
7	5
8	11
9	10
10	24
11	12
12	13
13	7
14	9
15	28
16	17
17	36
18	14
19	20
20	46
21	22
22	44
23	25
24	18
25	15
26	16
27	19
28	21
29	23
30	26
31	38
32	33
33	68
34	30
35	37
36	29
37	65
38	39
39	27
40	57
41	50
42	88
43	45
44	85
45	47
46	83
47	48
48	34
49	49
50	51
51	79
52	53
53	56
54	32
55	31
56	35
57	40
58	41
59	42
60	63
61	58
62	72
63	64
64	66
65	69
66	61
67	129
68	93
69	106
70	60
71	86

n	a(n)
1	1
2	3
3	2
4	6
5	8
6	4
7	5
8	11
9	10
10	24
11	12
12	13
13	7
14	9
15	28
16	17
17	36
18	14
19	20
20	46
21	22
22	44
23	25
24	18
25	15
26	16
27	19
28	21
29	23
30	26
31	38
32	33
33	68
34	30
35	37
36	29
37	65
38	39
39	27
40	57
41	50
42	88
43	45
44	85
45	47
46	83
47	48
48	34
49	49
50	51
51	79
52	53
53	56
54	32
55	31
56	35
57	40
58	41
59	42
60	63
61	58
62	72
63	64
64	66
65	69
66	61
67	129
68	93
69	106
70	60
71	86

n	a(n)
1	1
2	3
3	2
4	6
5	8
6	4
7	5
8	11
9	10
10	24
11	12
12	13
13	7
14	9
15	28
16	17
17	36
18	14
19	20
20	46
21	22
22	44
23	25
24	18
25	15
26	16
27	19
28	21
29	23
30	26
31	38
32	33
33	68
34	30
35	37
36	29
37	65
38	39
39	27
40	57
41	50
42	88
43	45
44	85
45	47
46	83
47	48
48	34
49	49
50	51
51	79
52	53
53	56
54	32
55	31
56	35
57	40
58	41
59	42
60	63
61	58
62	72
63	64
64	66
65	69
66	61
67	129
68	93
69	106
70	60
71	86