A365060 - cp's OEIS frontend

A365060 a(1) = 2; for n > 2, a(n) is the smallest positive number that has not yet appeared that has a common factor with A008472(a(n-1)), the sum of the distinct primes dividing a(n-1).

n	a(n)
1	2
2	4
3	6
4	5
5	10
6	7
7	14
8	3
9	9
10	12
11	15
12	8
13	16
14	18
15	20
16	21
17	22
18	13
19	26
20	24
21	25
22	30
23	28
24	27
25	33
26	32
27	34
28	19
29	38
30	35
31	36
32	40
33	42
34	39
35	44
36	52
37	45
38	46
39	50
40	49
41	56
42	48
43	55
44	54
45	60
46	58
47	31
48	62
49	11
50	66
51	64
52	68
53	57
54	70
55	63
56	65
57	51
58	72
59	75
60	74
61	69
62	76
63	77
64	78
65	80
66	84
67	81
68	87
69	82
70	43
71	86
72	85
73	88
74	91
75	90
76	92
77	95

[2, 4, 6, 5, 10, 7, 14, 3, 9, 12, 15, 8, 16, 18, 20, 21, 22, 13, 26, 24, 25, 30, 28, 27, 33, 32, 34, 19, 38, 35, 36, 40, 42, 39, 44, 52, 45, 46, 50, 49, 56, 48, 55, 54, 60, 58, 31, 62, 11, 66, 64, 68, 57, 70, 63, 65, 51, 72, 75, 74, 69, 76, 77, 78, 80, 84, 81, 87, 82, 43, 86, 85, 88, 91, 90, 92, 95]

cp's OEIS Frontend

A365060 a(1) = 2; for n > 2, a(n) is the smallest positive number that has not yet appeared that has a common factor with A008472(a(n-1)), the sum of the distinct primes dividing a(n-1).

Table of values

List of values

n	a(n)
1	2
2	4
3	6
4	5
5	10
6	7
7	14
8	3
9	9
10	12
11	15
12	8
13	16
14	18
15	20
16	21
17	22
18	13
19	26
20	24
21	25
22	30
23	28
24	27
25	33
26	32
27	34
28	19
29	38
30	35
31	36
32	40
33	42
34	39
35	44
36	52
37	45
38	46
39	50
40	49
41	56
42	48
43	55
44	54
45	60
46	58
47	31
48	62
49	11
50	66
51	64
52	68
53	57
54	70
55	63
56	65
57	51
58	72
59	75
60	74
61	69
62	76
63	77
64	78
65	80
66	84
67	81
68	87
69	82
70	43
71	86
72	85
73	88
74	91
75	90
76	92
77	95

n	a(n)
1	2
2	4
3	6
4	5
5	10
6	7
7	14
8	3
9	9
10	12
11	15
12	8
13	16
14	18
15	20
16	21
17	22
18	13
19	26
20	24
21	25
22	30
23	28
24	27
25	33
26	32
27	34
28	19
29	38
30	35
31	36
32	40
33	42
34	39
35	44
36	52
37	45
38	46
39	50
40	49
41	56
42	48
43	55
44	54
45	60
46	58
47	31
48	62
49	11
50	66
51	64
52	68
53	57
54	70
55	63
56	65
57	51
58	72
59	75
60	74
61	69
62	76
63	77
64	78
65	80
66	84
67	81
68	87
69	82
70	43
71	86
72	85
73	88
74	91
75	90
76	92
77	95

n	a(n)
1	2
2	4
3	6
4	5
5	10
6	7
7	14
8	3
9	9
10	12
11	15
12	8
13	16
14	18
15	20
16	21
17	22
18	13
19	26
20	24
21	25
22	30
23	28
24	27
25	33
26	32
27	34
28	19
29	38
30	35
31	36
32	40
33	42
34	39
35	44
36	52
37	45
38	46
39	50
40	49
41	56
42	48
43	55
44	54
45	60
46	58
47	31
48	62
49	11
50	66
51	64
52	68
53	57
54	70
55	63
56	65
57	51
58	72
59	75
60	74
61	69
62	76
63	77
64	78
65	80
66	84
67	81
68	87
69	82
70	43
71	86
72	85
73	88
74	91
75	90
76	92
77	95