A356851 - cp's OEIS frontend

A356851 a(1) = 1, a(2) = 2, a(3) = 4; for n > 3, a(n) is the smallest positive number not occurring earlier such that a(n) shares a factor with the previous Omega(a(n)) terms.

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	9
7	12
8	15
9	5
10	10
11	20
12	14
13	7
14	21
15	28
16	35
17	30
18	25
19	40
20	45
21	50
22	18
23	22
24	8
25	16
26	24
27	26
28	13
29	39
30	52
31	65
32	78
33	60
34	33
35	11
36	44
37	55
38	66
39	70
40	34
41	17
42	51
43	68
44	85
45	102
46	90
47	38
48	19
49	57
50	76
51	95
52	114
53	110
54	46
55	23
56	69
57	92
58	115
59	138
60	130
61	58
62	29
63	87
64	116
65	145
66	174
67	150
68	62
69	31
70	93
71	124
72	155
73	186

[1, 2, 4, 6, 3, 9, 12, 15, 5, 10, 20, 14, 7, 21, 28, 35, 30, 25, 40, 45, 50, 18, 22, 8, 16, 24, 26, 13, 39, 52, 65, 78, 60, 33, 11, 44, 55, 66, 70, 34, 17, 51, 68, 85, 102, 90, 38, 19, 57, 76, 95, 114, 110, 46, 23, 69, 92, 115, 138, 130, 58, 29, 87, 116, 145, 174, 150, 62, 31, 93, 124, 155, 186]

cp's OEIS Frontend

A356851 a(1) = 1, a(2) = 2, a(3) = 4; for n > 3, a(n) is the smallest positive number not occurring earlier such that a(n) shares a factor with the previous Omega(a(n)) terms.

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	9
7	12
8	15
9	5
10	10
11	20
12	14
13	7
14	21
15	28
16	35
17	30
18	25
19	40
20	45
21	50
22	18
23	22
24	8
25	16
26	24
27	26
28	13
29	39
30	52
31	65
32	78
33	60
34	33
35	11
36	44
37	55
38	66
39	70
40	34
41	17
42	51
43	68
44	85
45	102
46	90
47	38
48	19
49	57
50	76
51	95
52	114
53	110
54	46
55	23
56	69
57	92
58	115
59	138
60	130
61	58
62	29
63	87
64	116
65	145
66	174
67	150
68	62
69	31
70	93
71	124
72	155
73	186

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	9
7	12
8	15
9	5
10	10
11	20
12	14
13	7
14	21
15	28
16	35
17	30
18	25
19	40
20	45
21	50
22	18
23	22
24	8
25	16
26	24
27	26
28	13
29	39
30	52
31	65
32	78
33	60
34	33
35	11
36	44
37	55
38	66
39	70
40	34
41	17
42	51
43	68
44	85
45	102
46	90
47	38
48	19
49	57
50	76
51	95
52	114
53	110
54	46
55	23
56	69
57	92
58	115
59	138
60	130
61	58
62	29
63	87
64	116
65	145
66	174
67	150
68	62
69	31
70	93
71	124
72	155
73	186

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	9
7	12
8	15
9	5
10	10
11	20
12	14
13	7
14	21
15	28
16	35
17	30
18	25
19	40
20	45
21	50
22	18
23	22
24	8
25	16
26	24
27	26
28	13
29	39
30	52
31	65
32	78
33	60
34	33
35	11
36	44
37	55
38	66
39	70
40	34
41	17
42	51
43	68
44	85
45	102
46	90
47	38
48	19
49	57
50	76
51	95
52	114
53	110
54	46
55	23
56	69
57	92
58	115
59	138
60	130
61	58
62	29
63	87
64	116
65	145
66	174
67	150
68	62
69	31
70	93
71	124
72	155
73	186