A286709 - cp's OEIS frontend

A286709 For k>0, let bin(k) = the string corresponding to the binary representation of k, and neg(k) = bin(k) under the character substitution '0' <-> '1'; a(n) = the smallest positive integer not occurring earlier in the sequence such that bin(Sum_{k=1..n} a(k)) contains neg(n) as a substring.

n	a(n)
1	2
2	3
3	4
4	10
5	1
6	5
7	7
8	14
9	8
10	15
11	11
12	19
13	31
14	6
15	24
16	28
17	18
18	12
19	50
20	32
21	30
22	9
23	21
24	38
25	13
26	42
27	63
28	20
29	16
30	25
31	64
32	61
33	51
34	44
35	27
36	35
37	89
38	37
39	87
40	39
41	85
42	41
43	83
44	17
45	107
46	45
47	79
48	29
49	52
50	92
51	75
52	22
53	102
54	53
55	71
56	40
57	43
58	34
59	23
60	103
61	127
62	128
63	62
64	188
65	66
66	60

[2, 3, 4, 10, 1, 5, 7, 14, 8, 15, 11, 19, 31, 6, 24, 28, 18, 12, 50, 32, 30, 9, 21, 38, 13, 42, 63, 20, 16, 25, 64, 61, 51, 44, 27, 35, 89, 37, 87, 39, 85, 41, 83, 17, 107, 45, 79, 29, 52, 92, 75, 22, 102, 53, 71, 40, 43, 34, 23, 103, 127, 128, 62, 188, 66, 60]

cp's OEIS Frontend

A286709 For k>0, let bin(k) = the string corresponding to the binary representation of k, and neg(k) = bin(k) under the character substitution '0' <-> '1'; a(n) = the smallest positive integer not occurring earlier in the sequence such that bin(Sum_{k=1..n} a(k)) contains neg(n) as a substring.

Table of values

List of values

n	a(n)
1	2
2	3
3	4
4	10
5	1
6	5
7	7
8	14
9	8
10	15
11	11
12	19
13	31
14	6
15	24
16	28
17	18
18	12
19	50
20	32
21	30
22	9
23	21
24	38
25	13
26	42
27	63
28	20
29	16
30	25
31	64
32	61
33	51
34	44
35	27
36	35
37	89
38	37
39	87
40	39
41	85
42	41
43	83
44	17
45	107
46	45
47	79
48	29
49	52
50	92
51	75
52	22
53	102
54	53
55	71
56	40
57	43
58	34
59	23
60	103
61	127
62	128
63	62
64	188
65	66
66	60

n	a(n)
1	2
2	3
3	4
4	10
5	1
6	5
7	7
8	14
9	8
10	15
11	11
12	19
13	31
14	6
15	24
16	28
17	18
18	12
19	50
20	32
21	30
22	9
23	21
24	38
25	13
26	42
27	63
28	20
29	16
30	25
31	64
32	61
33	51
34	44
35	27
36	35
37	89
38	37
39	87
40	39
41	85
42	41
43	83
44	17
45	107
46	45
47	79
48	29
49	52
50	92
51	75
52	22
53	102
54	53
55	71
56	40
57	43
58	34
59	23
60	103
61	127
62	128
63	62
64	188
65	66
66	60

n	a(n)
1	2
2	3
3	4
4	10
5	1
6	5
7	7
8	14
9	8
10	15
11	11
12	19
13	31
14	6
15	24
16	28
17	18
18	12
19	50
20	32
21	30
22	9
23	21
24	38
25	13
26	42
27	63
28	20
29	16
30	25
31	64
32	61
33	51
34	44
35	27
36	35
37	89
38	37
39	87
40	39
41	85
42	41
43	83
44	17
45	107
46	45
47	79
48	29
49	52
50	92
51	75
52	22
53	102
54	53
55	71
56	40
57	43
58	34
59	23
60	103
61	127
62	128
63	62
64	188
65	66
66	60