A357082 - cp's OEIS frontend

A357082 a(0) = 0; for n > 0, a(n) is the smallest positive number not occurring earlier such that the binary string of a(n-1) + a(n) does not appear in the binary string concatenation of a(0)..a(n-1).

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	5
6	10
7	6
8	9
9	7
10	17
11	12
12	20
13	13
14	16
15	18
16	11
17	21
18	15
19	19
20	23
21	38
22	26
23	8
24	24
25	37
26	27
27	34
28	30
29	31
30	33
31	32
32	40
33	36
34	28
35	44
36	41
37	35
38	29
39	43
40	39
41	25
42	47
43	53
44	51
45	49
46	42
47	22
48	50
49	14
50	58
51	46
52	54
53	62
54	65
55	63
56	66
57	67
58	61
59	68
60	60
61	69
62	59
63	70
64	74
65	55
66	73
67	56
68	72
69	57
70	71
71	75
72	78
73	76
74	52
75	77
76	92

[0, 1, 2, 3, 4, 5, 10, 6, 9, 7, 17, 12, 20, 13, 16, 18, 11, 21, 15, 19, 23, 38, 26, 8, 24, 37, 27, 34, 30, 31, 33, 32, 40, 36, 28, 44, 41, 35, 29, 43, 39, 25, 47, 53, 51, 49, 42, 22, 50, 14, 58, 46, 54, 62, 65, 63, 66, 67, 61, 68, 60, 69, 59, 70, 74, 55, 73, 56, 72, 57, 71, 75, 78, 76, 52, 77, 92]

cp's OEIS Frontend

A357082 a(0) = 0; for n > 0, a(n) is the smallest positive number not occurring earlier such that the binary string of a(n-1) + a(n) does not appear in the binary string concatenation of a(0)..a(n-1).

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	5
6	10
7	6
8	9
9	7
10	17
11	12
12	20
13	13
14	16
15	18
16	11
17	21
18	15
19	19
20	23
21	38
22	26
23	8
24	24
25	37
26	27
27	34
28	30
29	31
30	33
31	32
32	40
33	36
34	28
35	44
36	41
37	35
38	29
39	43
40	39
41	25
42	47
43	53
44	51
45	49
46	42
47	22
48	50
49	14
50	58
51	46
52	54
53	62
54	65
55	63
56	66
57	67
58	61
59	68
60	60
61	69
62	59
63	70
64	74
65	55
66	73
67	56
68	72
69	57
70	71
71	75
72	78
73	76
74	52
75	77
76	92

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	5
6	10
7	6
8	9
9	7
10	17
11	12
12	20
13	13
14	16
15	18
16	11
17	21
18	15
19	19
20	23
21	38
22	26
23	8
24	24
25	37
26	27
27	34
28	30
29	31
30	33
31	32
32	40
33	36
34	28
35	44
36	41
37	35
38	29
39	43
40	39
41	25
42	47
43	53
44	51
45	49
46	42
47	22
48	50
49	14
50	58
51	46
52	54
53	62
54	65
55	63
56	66
57	67
58	61
59	68
60	60
61	69
62	59
63	70
64	74
65	55
66	73
67	56
68	72
69	57
70	71
71	75
72	78
73	76
74	52
75	77
76	92

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	5
6	10
7	6
8	9
9	7
10	17
11	12
12	20
13	13
14	16
15	18
16	11
17	21
18	15
19	19
20	23
21	38
22	26
23	8
24	24
25	37
26	27
27	34
28	30
29	31
30	33
31	32
32	40
33	36
34	28
35	44
36	41
37	35
38	29
39	43
40	39
41	25
42	47
43	53
44	51
45	49
46	42
47	22
48	50
49	14
50	58
51	46
52	54
53	62
54	65
55	63
56	66
57	67
58	61
59	68
60	60
61	69
62	59
63	70
64	74
65	55
66	73
67	56
68	72
69	57
70	71
71	75
72	78
73	76
74	52
75	77
76	92