A360521 - cp's OEIS frontend

A360521 a(0) = 0; for n > 0, a(n) is the smallest positive number not occurring earlier such that neither the binary string a(n-1) + a(n) nor the same string reversed 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	15
12	18
13	14
14	19
15	13
16	20
17	12
18	21
19	11
20	22
21	26
22	8
23	24
24	27
25	37
26	28
27	23
28	25
29	39
30	29
31	35
32	30
33	34
34	31
35	33
36	32
37	36
38	41
39	44
40	43
41	42
42	38
43	62
44	57
45	70
46	58
47	69
48	59
49	68
50	60
51	67
52	61
53	66
54	63
55	64
56	65
57	71
58	76
59	52
60	84
61	72
62	56
63	80
64	48
65	88
66	40
67	96
68	51
69	77
70	83
71	45
72	91
73	81
74	47
75	89
76	86

[0, 1, 2, 3, 4, 5, 10, 6, 9, 7, 17, 15, 18, 14, 19, 13, 20, 12, 21, 11, 22, 26, 8, 24, 27, 37, 28, 23, 25, 39, 29, 35, 30, 34, 31, 33, 32, 36, 41, 44, 43, 42, 38, 62, 57, 70, 58, 69, 59, 68, 60, 67, 61, 66, 63, 64, 65, 71, 76, 52, 84, 72, 56, 80, 48, 88, 40, 96, 51, 77, 83, 45, 91, 81, 47, 89, 86]

cp's OEIS Frontend

A360521 a(0) = 0; for n > 0, a(n) is the smallest positive number not occurring earlier such that neither the binary string a(n-1) + a(n) nor the same string reversed 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	15
12	18
13	14
14	19
15	13
16	20
17	12
18	21
19	11
20	22
21	26
22	8
23	24
24	27
25	37
26	28
27	23
28	25
29	39
30	29
31	35
32	30
33	34
34	31
35	33
36	32
37	36
38	41
39	44
40	43
41	42
42	38
43	62
44	57
45	70
46	58
47	69
48	59
49	68
50	60
51	67
52	61
53	66
54	63
55	64
56	65
57	71
58	76
59	52
60	84
61	72
62	56
63	80
64	48
65	88
66	40
67	96
68	51
69	77
70	83
71	45
72	91
73	81
74	47
75	89
76	86

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	15
12	18
13	14
14	19
15	13
16	20
17	12
18	21
19	11
20	22
21	26
22	8
23	24
24	27
25	37
26	28
27	23
28	25
29	39
30	29
31	35
32	30
33	34
34	31
35	33
36	32
37	36
38	41
39	44
40	43
41	42
42	38
43	62
44	57
45	70
46	58
47	69
48	59
49	68
50	60
51	67
52	61
53	66
54	63
55	64
56	65
57	71
58	76
59	52
60	84
61	72
62	56
63	80
64	48
65	88
66	40
67	96
68	51
69	77
70	83
71	45
72	91
73	81
74	47
75	89
76	86

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	15
12	18
13	14
14	19
15	13
16	20
17	12
18	21
19	11
20	22
21	26
22	8
23	24
24	27
25	37
26	28
27	23
28	25
29	39
30	29
31	35
32	30
33	34
34	31
35	33
36	32
37	36
38	41
39	44
40	43
41	42
42	38
43	62
44	57
45	70
46	58
47	69
48	59
49	68
50	60
51	67
52	61
53	66
54	63
55	64
56	65
57	71
58	76
59	52
60	84
61	72
62	56
63	80
64	48
65	88
66	40
67	96
68	51
69	77
70	83
71	45
72	91
73	81
74	47
75	89
76	86