A286681 - cp's OEIS frontend

A286681 a(n) = the smallest positive integer not occurring earlier in the sequence such that SumXOR_{k=1..n} a(k) written in binary contains binary n as a substring, where SumXOR is the analog of summation under the binary XOR operation.

n	a(n)
1	1
2	3
3	4
4	2
5	9
6	11
7	8
8	6
9	17
10	12
11	14
12	7
13	33
14	5
15	23
16	15
17	49
18	35
19	20
20	18
21	30
22	28
23	24
24	22
25	10
26	40
27	44
28	42
29	38
30	36
31	32
32	94
33	34
34	96
35	65
36	43
37	45
38	41
39	107
40	79
41	58
42	56
43	60
44	122
45	118
46	52
47	48
48	46
49	19
50	81
51	84
52	82
53	95
54	29
55	25
56	31
57	73
58	67
59	13
60	75
61	70
62	68
63	64
64	62
65	129
66	69

[1, 3, 4, 2, 9, 11, 8, 6, 17, 12, 14, 7, 33, 5, 23, 15, 49, 35, 20, 18, 30, 28, 24, 22, 10, 40, 44, 42, 38, 36, 32, 94, 34, 96, 65, 43, 45, 41, 107, 79, 58, 56, 60, 122, 118, 52, 48, 46, 19, 81, 84, 82, 95, 29, 25, 31, 73, 67, 13, 75, 70, 68, 64, 62, 129, 69]

cp's OEIS Frontend

A286681 a(n) = the smallest positive integer not occurring earlier in the sequence such that SumXOR_{k=1..n} a(k) written in binary contains binary n as a substring, where SumXOR is the analog of summation under the binary XOR operation.

Table of values

List of values

n	a(n)
1	1
2	3
3	4
4	2
5	9
6	11
7	8
8	6
9	17
10	12
11	14
12	7
13	33
14	5
15	23
16	15
17	49
18	35
19	20
20	18
21	30
22	28
23	24
24	22
25	10
26	40
27	44
28	42
29	38
30	36
31	32
32	94
33	34
34	96
35	65
36	43
37	45
38	41
39	107
40	79
41	58
42	56
43	60
44	122
45	118
46	52
47	48
48	46
49	19
50	81
51	84
52	82
53	95
54	29
55	25
56	31
57	73
58	67
59	13
60	75
61	70
62	68
63	64
64	62
65	129
66	69

n	a(n)
1	1
2	3
3	4
4	2
5	9
6	11
7	8
8	6
9	17
10	12
11	14
12	7
13	33
14	5
15	23
16	15
17	49
18	35
19	20
20	18
21	30
22	28
23	24
24	22
25	10
26	40
27	44
28	42
29	38
30	36
31	32
32	94
33	34
34	96
35	65
36	43
37	45
38	41
39	107
40	79
41	58
42	56
43	60
44	122
45	118
46	52
47	48
48	46
49	19
50	81
51	84
52	82
53	95
54	29
55	25
56	31
57	73
58	67
59	13
60	75
61	70
62	68
63	64
64	62
65	129
66	69

n	a(n)
1	1
2	3
3	4
4	2
5	9
6	11
7	8
8	6
9	17
10	12
11	14
12	7
13	33
14	5
15	23
16	15
17	49
18	35
19	20
20	18
21	30
22	28
23	24
24	22
25	10
26	40
27	44
28	42
29	38
30	36
31	32
32	94
33	34
34	96
35	65
36	43
37	45
38	41
39	107
40	79
41	58
42	56
43	60
44	122
45	118
46	52
47	48
48	46
49	19
50	81
51	84
52	82
53	95
54	29
55	25
56	31
57	73
58	67
59	13
60	75
61	70
62	68
63	64
64	62
65	129
66	69