A357433 - cp's OEIS frontend

A357433 a(1) = 1; a(2) = 2; for n > 2, a(n) is the smallest positive number not occurring earlier such that the binary string of a(n) plus the sum of all previous terms appears in the binary string concatenation of a(1)..a(n-1).

n	a(n)
1	1
2	2
3	3
4	5
5	12
6	4
7	9
8	10
9	11
10	16
11	14
12	6
13	7
14	18
15	17
16	13
17	15
18	8
19	20
20	22
21	24
22	33
23	26
24	31
25	21
26	19
27	25
28	35
29	30
30	28
31	56
32	34
33	36
34	43
35	32
36	42
37	37
38	23
39	29
40	38
41	27
42	58
43	45
44	60
45	46
46	52
47	44
48	50
49	72
50	53
51	54
52	41
53	65
54	47
55	40
56	48
57	66
58	51
59	64
60	49
61	57
62	61
63	67
64	93
65	77
66	59
67	74
68	100
69	75
70	69
71	91
72	73
73	83
74	71
75	81
76	39
77	82

[1, 2, 3, 5, 12, 4, 9, 10, 11, 16, 14, 6, 7, 18, 17, 13, 15, 8, 20, 22, 24, 33, 26, 31, 21, 19, 25, 35, 30, 28, 56, 34, 36, 43, 32, 42, 37, 23, 29, 38, 27, 58, 45, 60, 46, 52, 44, 50, 72, 53, 54, 41, 65, 47, 40, 48, 66, 51, 64, 49, 57, 61, 67, 93, 77, 59, 74, 100, 75, 69, 91, 73, 83, 71, 81, 39, 82]

cp's OEIS Frontend

A357433 a(1) = 1; a(2) = 2; for n > 2, a(n) is the smallest positive number not occurring earlier such that the binary string of a(n) plus the sum of all previous terms appears in the binary string concatenation of a(1)..a(n-1).

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	5
5	12
6	4
7	9
8	10
9	11
10	16
11	14
12	6
13	7
14	18
15	17
16	13
17	15
18	8
19	20
20	22
21	24
22	33
23	26
24	31
25	21
26	19
27	25
28	35
29	30
30	28
31	56
32	34
33	36
34	43
35	32
36	42
37	37
38	23
39	29
40	38
41	27
42	58
43	45
44	60
45	46
46	52
47	44
48	50
49	72
50	53
51	54
52	41
53	65
54	47
55	40
56	48
57	66
58	51
59	64
60	49
61	57
62	61
63	67
64	93
65	77
66	59
67	74
68	100
69	75
70	69
71	91
72	73
73	83
74	71
75	81
76	39
77	82

n	a(n)
1	1
2	2
3	3
4	5
5	12
6	4
7	9
8	10
9	11
10	16
11	14
12	6
13	7
14	18
15	17
16	13
17	15
18	8
19	20
20	22
21	24
22	33
23	26
24	31
25	21
26	19
27	25
28	35
29	30
30	28
31	56
32	34
33	36
34	43
35	32
36	42
37	37
38	23
39	29
40	38
41	27
42	58
43	45
44	60
45	46
46	52
47	44
48	50
49	72
50	53
51	54
52	41
53	65
54	47
55	40
56	48
57	66
58	51
59	64
60	49
61	57
62	61
63	67
64	93
65	77
66	59
67	74
68	100
69	75
70	69
71	91
72	73
73	83
74	71
75	81
76	39
77	82

n	a(n)
1	1
2	2
3	3
4	5
5	12
6	4
7	9
8	10
9	11
10	16
11	14
12	6
13	7
14	18
15	17
16	13
17	15
18	8
19	20
20	22
21	24
22	33
23	26
24	31
25	21
26	19
27	25
28	35
29	30
30	28
31	56
32	34
33	36
34	43
35	32
36	42
37	37
38	23
39	29
40	38
41	27
42	58
43	45
44	60
45	46
46	52
47	44
48	50
49	72
50	53
51	54
52	41
53	65
54	47
55	40
56	48
57	66
58	51
59	64
60	49
61	57
62	61
63	67
64	93
65	77
66	59
67	74
68	100
69	75
70	69
71	91
72	73
73	83
74	71
75	81
76	39
77	82