A352793 - cp's OEIS frontend

A352793 a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not appeared that shares a single prime factor with a(n-1) and that prime has exponent 1 in the prime factorization of both a(n) and a(n-1).

n	a(n)
1	1
2	2
3	6
4	3
5	12
6	15
7	5
8	10
9	14
10	7
11	21
12	24
13	33
14	11
15	22
16	18
17	26
18	13
19	39
20	30
21	34
22	17
23	51
24	42
25	35
26	20
27	45
28	40
29	55
30	44
31	77
32	28
33	63
34	56
35	91
36	52
37	65
38	60
39	57
40	19
41	38
42	46
43	23
44	69
45	48
46	75
47	66
48	50
49	54
50	58
51	29
52	87
53	78
54	62
55	31
56	93
57	84
58	111
59	37
60	74
61	70
62	82
63	41
64	123
65	96
66	105
67	80
68	85
69	68
70	119
71	102
72	86
73	43
74	129

[1, 2, 6, 3, 12, 15, 5, 10, 14, 7, 21, 24, 33, 11, 22, 18, 26, 13, 39, 30, 34, 17, 51, 42, 35, 20, 45, 40, 55, 44, 77, 28, 63, 56, 91, 52, 65, 60, 57, 19, 38, 46, 23, 69, 48, 75, 66, 50, 54, 58, 29, 87, 78, 62, 31, 93, 84, 111, 37, 74, 70, 82, 41, 123, 96, 105, 80, 85, 68, 119, 102, 86, 43, 129]

cp's OEIS Frontend

A352793 a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not appeared that shares a single prime factor with a(n-1) and that prime has exponent 1 in the prime factorization of both a(n) and a(n-1).

Table of values

List of values

n	a(n)
1	1
2	2
3	6
4	3
5	12
6	15
7	5
8	10
9	14
10	7
11	21
12	24
13	33
14	11
15	22
16	18
17	26
18	13
19	39
20	30
21	34
22	17
23	51
24	42
25	35
26	20
27	45
28	40
29	55
30	44
31	77
32	28
33	63
34	56
35	91
36	52
37	65
38	60
39	57
40	19
41	38
42	46
43	23
44	69
45	48
46	75
47	66
48	50
49	54
50	58
51	29
52	87
53	78
54	62
55	31
56	93
57	84
58	111
59	37
60	74
61	70
62	82
63	41
64	123
65	96
66	105
67	80
68	85
69	68
70	119
71	102
72	86
73	43
74	129

n	a(n)
1	1
2	2
3	6
4	3
5	12
6	15
7	5
8	10
9	14
10	7
11	21
12	24
13	33
14	11
15	22
16	18
17	26
18	13
19	39
20	30
21	34
22	17
23	51
24	42
25	35
26	20
27	45
28	40
29	55
30	44
31	77
32	28
33	63
34	56
35	91
36	52
37	65
38	60
39	57
40	19
41	38
42	46
43	23
44	69
45	48
46	75
47	66
48	50
49	54
50	58
51	29
52	87
53	78
54	62
55	31
56	93
57	84
58	111
59	37
60	74
61	70
62	82
63	41
64	123
65	96
66	105
67	80
68	85
69	68
70	119
71	102
72	86
73	43
74	129

n	a(n)
1	1
2	2
3	6
4	3
5	12
6	15
7	5
8	10
9	14
10	7
11	21
12	24
13	33
14	11
15	22
16	18
17	26
18	13
19	39
20	30
21	34
22	17
23	51
24	42
25	35
26	20
27	45
28	40
29	55
30	44
31	77
32	28
33	63
34	56
35	91
36	52
37	65
38	60
39	57
40	19
41	38
42	46
43	23
44	69
45	48
46	75
47	66
48	50
49	54
50	58
51	29
52	87
53	78
54	62
55	31
56	93
57	84
58	111
59	37
60	74
61	70
62	82
63	41
64	123
65	96
66	105
67	80
68	85
69	68
70	119
71	102
72	86
73	43
74	129