A351497 - cp's OEIS frontend

A351497 Lexicographically earliest infinite sequence of distinct positive numbers such that, for n>2, a(n) has a common factor with the second largest previous term but not with the largest previous term.

n	a(n)
1	1
2	2
3	3
4	4
5	9
6	8
7	10
8	21
9	5
10	16
11	20
12	22
13	7
14	15
15	27
16	11
17	14
18	26
19	13
20	28
21	33
22	32
23	34
24	39
25	17
26	38
27	19
28	40
29	51
30	25
31	35
32	44
33	46
34	23
35	50
36	52
37	45
38	57
39	56
40	49
41	58
42	63
43	29
44	62
45	31
46	64
47	69
48	68
49	70
50	81
51	55
52	65
53	74
54	37
55	76
56	80
57	82
58	75
59	87
60	41
61	86
62	43
63	88
64	93
65	77
66	92
67	94
68	99
69	47
70	98
71	91
72	100
73	111
74	85
75	95
76	104

[1, 2, 3, 4, 9, 8, 10, 21, 5, 16, 20, 22, 7, 15, 27, 11, 14, 26, 13, 28, 33, 32, 34, 39, 17, 38, 19, 40, 51, 25, 35, 44, 46, 23, 50, 52, 45, 57, 56, 49, 58, 63, 29, 62, 31, 64, 69, 68, 70, 81, 55, 65, 74, 37, 76, 80, 82, 75, 87, 41, 86, 43, 88, 93, 77, 92, 94, 99, 47, 98, 91, 100, 111, 85, 95, 104]

cp's OEIS Frontend

A351497 Lexicographically earliest infinite sequence of distinct positive numbers such that, for n>2, a(n) has a common factor with the second largest previous term but not with the largest previous term.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	4
5	9
6	8
7	10
8	21
9	5
10	16
11	20
12	22
13	7
14	15
15	27
16	11
17	14
18	26
19	13
20	28
21	33
22	32
23	34
24	39
25	17
26	38
27	19
28	40
29	51
30	25
31	35
32	44
33	46
34	23
35	50
36	52
37	45
38	57
39	56
40	49
41	58
42	63
43	29
44	62
45	31
46	64
47	69
48	68
49	70
50	81
51	55
52	65
53	74
54	37
55	76
56	80
57	82
58	75
59	87
60	41
61	86
62	43
63	88
64	93
65	77
66	92
67	94
68	99
69	47
70	98
71	91
72	100
73	111
74	85
75	95
76	104

n	a(n)
1	1
2	2
3	3
4	4
5	9
6	8
7	10
8	21
9	5
10	16
11	20
12	22
13	7
14	15
15	27
16	11
17	14
18	26
19	13
20	28
21	33
22	32
23	34
24	39
25	17
26	38
27	19
28	40
29	51
30	25
31	35
32	44
33	46
34	23
35	50
36	52
37	45
38	57
39	56
40	49
41	58
42	63
43	29
44	62
45	31
46	64
47	69
48	68
49	70
50	81
51	55
52	65
53	74
54	37
55	76
56	80
57	82
58	75
59	87
60	41
61	86
62	43
63	88
64	93
65	77
66	92
67	94
68	99
69	47
70	98
71	91
72	100
73	111
74	85
75	95
76	104

n	a(n)
1	1
2	2
3	3
4	4
5	9
6	8
7	10
8	21
9	5
10	16
11	20
12	22
13	7
14	15
15	27
16	11
17	14
18	26
19	13
20	28
21	33
22	32
23	34
24	39
25	17
26	38
27	19
28	40
29	51
30	25
31	35
32	44
33	46
34	23
35	50
36	52
37	45
38	57
39	56
40	49
41	58
42	63
43	29
44	62
45	31
46	64
47	69
48	68
49	70
50	81
51	55
52	65
53	74
54	37
55	76
56	80
57	82
58	75
59	87
60	41
61	86
62	43
63	88
64	93
65	77
66	92
67	94
68	99
69	47
70	98
71	91
72	100
73	111
74	85
75	95
76	104