A370046 - cp's OEIS frontend

A370046 a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest unused positive number whose binary value is a substring of the binary value of the sum of all previous terms.

n	a(n)
1	1
2	2
3	3
4	6
5	4
6	8
7	12
8	9
9	5
10	18
11	17
12	10
13	7
14	19
15	14
16	16
17	11
18	20
19	13
20	24
21	22
22	15
23	32
24	36
25	34
26	25
27	23
28	37
29	27
30	21
31	26
32	64
33	69
34	40
35	43
36	29
37	30
38	35
39	39
40	44
41	28
42	42
43	53
44	129
45	72
46	38
47	31
48	81
49	45
50	50
51	46
52	47
53	49
54	74
55	41
56	54
57	55
58	51
59	52
60	57
61	58
62	128
63	68
64	70
65	140
66	77
67	60
68	139
69	85
70	33
71	75
72	61
73	59
74	62
75	48

[1, 2, 3, 6, 4, 8, 12, 9, 5, 18, 17, 10, 7, 19, 14, 16, 11, 20, 13, 24, 22, 15, 32, 36, 34, 25, 23, 37, 27, 21, 26, 64, 69, 40, 43, 29, 30, 35, 39, 44, 28, 42, 53, 129, 72, 38, 31, 81, 45, 50, 46, 47, 49, 74, 41, 54, 55, 51, 52, 57, 58, 128, 68, 70, 140, 77, 60, 139, 85, 33, 75, 61, 59, 62, 48]

cp's OEIS Frontend

A370046 a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest unused positive number whose binary value is a substring of the binary value of the sum of all previous terms.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	6
5	4
6	8
7	12
8	9
9	5
10	18
11	17
12	10
13	7
14	19
15	14
16	16
17	11
18	20
19	13
20	24
21	22
22	15
23	32
24	36
25	34
26	25
27	23
28	37
29	27
30	21
31	26
32	64
33	69
34	40
35	43
36	29
37	30
38	35
39	39
40	44
41	28
42	42
43	53
44	129
45	72
46	38
47	31
48	81
49	45
50	50
51	46
52	47
53	49
54	74
55	41
56	54
57	55
58	51
59	52
60	57
61	58
62	128
63	68
64	70
65	140
66	77
67	60
68	139
69	85
70	33
71	75
72	61
73	59
74	62
75	48

n	a(n)
1	1
2	2
3	3
4	6
5	4
6	8
7	12
8	9
9	5
10	18
11	17
12	10
13	7
14	19
15	14
16	16
17	11
18	20
19	13
20	24
21	22
22	15
23	32
24	36
25	34
26	25
27	23
28	37
29	27
30	21
31	26
32	64
33	69
34	40
35	43
36	29
37	30
38	35
39	39
40	44
41	28
42	42
43	53
44	129
45	72
46	38
47	31
48	81
49	45
50	50
51	46
52	47
53	49
54	74
55	41
56	54
57	55
58	51
59	52
60	57
61	58
62	128
63	68
64	70
65	140
66	77
67	60
68	139
69	85
70	33
71	75
72	61
73	59
74	62
75	48

n	a(n)
1	1
2	2
3	3
4	6
5	4
6	8
7	12
8	9
9	5
10	18
11	17
12	10
13	7
14	19
15	14
16	16
17	11
18	20
19	13
20	24
21	22
22	15
23	32
24	36
25	34
26	25
27	23
28	37
29	27
30	21
31	26
32	64
33	69
34	40
35	43
36	29
37	30
38	35
39	39
40	44
41	28
42	42
43	53
44	129
45	72
46	38
47	31
48	81
49	45
50	50
51	46
52	47
53	49
54	74
55	41
56	54
57	55
58	51
59	52
60	57
61	58
62	128
63	68
64	70
65	140
66	77
67	60
68	139
69	85
70	33
71	75
72	61
73	59
74	62
75	48