A362754 - cp's OEIS frontend

A362754 a(1) = 1, a(2) = 6; for n > 2, a(n) is the smallest positive number that has not yet appeared that shares a factor with a(n-1) and also contains as a factor the smallest prime that is not a factor of a(n-1).

n	a(n)
1	1
2	6
3	10
4	12
5	15
6	18
7	20
8	24
9	30
10	14
11	21
12	28
13	36
14	40
15	42
16	35
17	50
18	45
19	48
20	60
21	56
22	54
23	70
24	63
25	66
26	55
27	22
28	33
29	44
30	72
31	75
32	78
33	65
34	26
35	39
36	52
37	84
38	80
39	90
40	98
41	96
42	100
43	102
44	85
45	34
46	51
47	68
48	108
49	105
50	110
51	99
52	88
53	114
54	95
55	38
56	57
57	76
58	120
59	112
60	126
61	130
62	117
63	104
64	132
65	135
66	138
67	115
68	46
69	69
70	92
71	144

[1, 6, 10, 12, 15, 18, 20, 24, 30, 14, 21, 28, 36, 40, 42, 35, 50, 45, 48, 60, 56, 54, 70, 63, 66, 55, 22, 33, 44, 72, 75, 78, 65, 26, 39, 52, 84, 80, 90, 98, 96, 100, 102, 85, 34, 51, 68, 108, 105, 110, 99, 88, 114, 95, 38, 57, 76, 120, 112, 126, 130, 117, 104, 132, 135, 138, 115, 46, 69, 92, 144]

cp's OEIS Frontend

A362754 a(1) = 1, a(2) = 6; for n > 2, a(n) is the smallest positive number that has not yet appeared that shares a factor with a(n-1) and also contains as a factor the smallest prime that is not a factor of a(n-1).

Table of values

List of values

n	a(n)
1	1
2	6
3	10
4	12
5	15
6	18
7	20
8	24
9	30
10	14
11	21
12	28
13	36
14	40
15	42
16	35
17	50
18	45
19	48
20	60
21	56
22	54
23	70
24	63
25	66
26	55
27	22
28	33
29	44
30	72
31	75
32	78
33	65
34	26
35	39
36	52
37	84
38	80
39	90
40	98
41	96
42	100
43	102
44	85
45	34
46	51
47	68
48	108
49	105
50	110
51	99
52	88
53	114
54	95
55	38
56	57
57	76
58	120
59	112
60	126
61	130
62	117
63	104
64	132
65	135
66	138
67	115
68	46
69	69
70	92
71	144

n	a(n)
1	1
2	6
3	10
4	12
5	15
6	18
7	20
8	24
9	30
10	14
11	21
12	28
13	36
14	40
15	42
16	35
17	50
18	45
19	48
20	60
21	56
22	54
23	70
24	63
25	66
26	55
27	22
28	33
29	44
30	72
31	75
32	78
33	65
34	26
35	39
36	52
37	84
38	80
39	90
40	98
41	96
42	100
43	102
44	85
45	34
46	51
47	68
48	108
49	105
50	110
51	99
52	88
53	114
54	95
55	38
56	57
57	76
58	120
59	112
60	126
61	130
62	117
63	104
64	132
65	135
66	138
67	115
68	46
69	69
70	92
71	144

n	a(n)
1	1
2	6
3	10
4	12
5	15
6	18
7	20
8	24
9	30
10	14
11	21
12	28
13	36
14	40
15	42
16	35
17	50
18	45
19	48
20	60
21	56
22	54
23	70
24	63
25	66
26	55
27	22
28	33
29	44
30	72
31	75
32	78
33	65
34	26
35	39
36	52
37	84
38	80
39	90
40	98
41	96
42	100
43	102
44	85
45	34
46	51
47	68
48	108
49	105
50	110
51	99
52	88
53	114
54	95
55	38
56	57
57	76
58	120
59	112
60	126
61	130
62	117
63	104
64	132
65	135
66	138
67	115
68	46
69	69
70	92
71	144