A351625 - cp's OEIS frontend

A351625 a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not appeared that shares a factor with the largest previous term.

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

[1, 2, 4, 6, 3, 8, 10, 5, 12, 9, 14, 7, 16, 18, 15, 20, 22, 11, 24, 21, 26, 13, 28, 30, 25, 27, 32, 34, 17, 36, 33, 38, 19, 40, 35, 42, 39, 44, 46, 23, 48, 45, 50, 52, 54, 51, 56, 49, 58, 29, 60, 55, 57, 62, 31, 64, 66, 63, 68, 70, 65, 72, 69, 74, 37, 76, 78, 75, 80, 82, 41, 84, 77, 81, 86, 43, 88]

cp's OEIS Frontend

A351625 a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not appeared that shares a factor with the largest previous term.

Table of values

List of values

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

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

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