A351496 - cp's OEIS frontend

A351496 Lexicographically earliest infinite sequence of distinct positive numbers such that, for n>2, a(n) has a common factor with the largest previous term but not with the second largest previous term.

n	a(n)
1	1
2	2
3	6
4	3
5	4
6	15
7	5
8	35
9	7
10	14
11	28
12	25
13	45
14	9
15	12
16	18
17	24
18	27
19	33
20	36
21	55
22	11
23	22
24	44
25	77
26	21
27	42
28	49
29	56
30	99
31	30
32	39
33	48
34	51
35	54
36	57
37	60
38	69
39	72
40	75
41	78
42	187
43	17
44	34
45	68
46	85
47	119
48	66
49	88
50	110
51	121
52	102
53	136
54	143
55	153
56	154
57	221
58	13
59	26
60	52
61	65
62	91
63	104
64	117
65	130
66	156
67	169
68	182
69	195
70	238
71	8
72	10

[1, 2, 6, 3, 4, 15, 5, 35, 7, 14, 28, 25, 45, 9, 12, 18, 24, 27, 33, 36, 55, 11, 22, 44, 77, 21, 42, 49, 56, 99, 30, 39, 48, 51, 54, 57, 60, 69, 72, 75, 78, 187, 17, 34, 68, 85, 119, 66, 88, 110, 121, 102, 136, 143, 153, 154, 221, 13, 26, 52, 65, 91, 104, 117, 130, 156, 169, 182, 195, 238, 8, 10]

cp's OEIS Frontend

A351496 Lexicographically earliest infinite sequence of distinct positive numbers such that, for n>2, a(n) has a common factor with the largest previous term but not with the second largest previous term.

Table of values

List of values

n	a(n)
1	1
2	2
3	6
4	3
5	4
6	15
7	5
8	35
9	7
10	14
11	28
12	25
13	45
14	9
15	12
16	18
17	24
18	27
19	33
20	36
21	55
22	11
23	22
24	44
25	77
26	21
27	42
28	49
29	56
30	99
31	30
32	39
33	48
34	51
35	54
36	57
37	60
38	69
39	72
40	75
41	78
42	187
43	17
44	34
45	68
46	85
47	119
48	66
49	88
50	110
51	121
52	102
53	136
54	143
55	153
56	154
57	221
58	13
59	26
60	52
61	65
62	91
63	104
64	117
65	130
66	156
67	169
68	182
69	195
70	238
71	8
72	10

n	a(n)
1	1
2	2
3	6
4	3
5	4
6	15
7	5
8	35
9	7
10	14
11	28
12	25
13	45
14	9
15	12
16	18
17	24
18	27
19	33
20	36
21	55
22	11
23	22
24	44
25	77
26	21
27	42
28	49
29	56
30	99
31	30
32	39
33	48
34	51
35	54
36	57
37	60
38	69
39	72
40	75
41	78
42	187
43	17
44	34
45	68
46	85
47	119
48	66
49	88
50	110
51	121
52	102
53	136
54	143
55	153
56	154
57	221
58	13
59	26
60	52
61	65
62	91
63	104
64	117
65	130
66	156
67	169
68	182
69	195
70	238
71	8
72	10

n	a(n)
1	1
2	2
3	6
4	3
5	4
6	15
7	5
8	35
9	7
10	14
11	28
12	25
13	45
14	9
15	12
16	18
17	24
18	27
19	33
20	36
21	55
22	11
23	22
24	44
25	77
26	21
27	42
28	49
29	56
30	99
31	30
32	39
33	48
34	51
35	54
36	57
37	60
38	69
39	72
40	75
41	78
42	187
43	17
44	34
45	68
46	85
47	119
48	66
49	88
50	110
51	121
52	102
53	136
54	143
55	153
56	154
57	221
58	13
59	26
60	52
61	65
62	91
63	104
64	117
65	130
66	156
67	169
68	182
69	195
70	238
71	8
72	10