A362600 - cp's OEIS frontend

A362600 a(1) = 1, a(2) = 6, a(3) = 10; for n > 3, a(n) is the smallest positive number that has not yet appeared that shares a factor with a(n-1) and a(n-2) and also contains as factors the smallest primes that are not factors of both a(n-1) and a(n-2).

n	a(n)
1	1
2	6
3	10
4	15
5	12
6	20
7	30
8	42
9	35
10	40
11	60
12	84
13	70
14	45
15	18
16	50
17	75
18	24
19	80
20	90
21	105
22	14
23	36
24	120
25	140
26	21
27	48
28	150
29	210
30	154
31	33
32	54
33	110
34	135
35	66
36	100
37	165
38	72
39	130
40	180
41	126
42	175
43	160
44	168
45	195
46	170
47	78
48	225
49	190
50	96
51	240
52	280
53	63
54	102
55	270
56	315
57	28
58	108
59	300
60	350
61	147
62	114
63	330
64	420
65	77
66	22

[1, 6, 10, 15, 12, 20, 30, 42, 35, 40, 60, 84, 70, 45, 18, 50, 75, 24, 80, 90, 105, 14, 36, 120, 140, 21, 48, 150, 210, 154, 33, 54, 110, 135, 66, 100, 165, 72, 130, 180, 126, 175, 160, 168, 195, 170, 78, 225, 190, 96, 240, 280, 63, 102, 270, 315, 28, 108, 300, 350, 147, 114, 330, 420, 77, 22]

cp's OEIS Frontend

A362600 a(1) = 1, a(2) = 6, a(3) = 10; for n > 3, a(n) is the smallest positive number that has not yet appeared that shares a factor with a(n-1) and a(n-2) and also contains as factors the smallest primes that are not factors of both a(n-1) and a(n-2).

Table of values

List of values

n	a(n)
1	1
2	6
3	10
4	15
5	12
6	20
7	30
8	42
9	35
10	40
11	60
12	84
13	70
14	45
15	18
16	50
17	75
18	24
19	80
20	90
21	105
22	14
23	36
24	120
25	140
26	21
27	48
28	150
29	210
30	154
31	33
32	54
33	110
34	135
35	66
36	100
37	165
38	72
39	130
40	180
41	126
42	175
43	160
44	168
45	195
46	170
47	78
48	225
49	190
50	96
51	240
52	280
53	63
54	102
55	270
56	315
57	28
58	108
59	300
60	350
61	147
62	114
63	330
64	420
65	77
66	22

n	a(n)
1	1
2	6
3	10
4	15
5	12
6	20
7	30
8	42
9	35
10	40
11	60
12	84
13	70
14	45
15	18
16	50
17	75
18	24
19	80
20	90
21	105
22	14
23	36
24	120
25	140
26	21
27	48
28	150
29	210
30	154
31	33
32	54
33	110
34	135
35	66
36	100
37	165
38	72
39	130
40	180
41	126
42	175
43	160
44	168
45	195
46	170
47	78
48	225
49	190
50	96
51	240
52	280
53	63
54	102
55	270
56	315
57	28
58	108
59	300
60	350
61	147
62	114
63	330
64	420
65	77
66	22

n	a(n)
1	1
2	6
3	10
4	15
5	12
6	20
7	30
8	42
9	35
10	40
11	60
12	84
13	70
14	45
15	18
16	50
17	75
18	24
19	80
20	90
21	105
22	14
23	36
24	120
25	140
26	21
27	48
28	150
29	210
30	154
31	33
32	54
33	110
34	135
35	66
36	100
37	165
38	72
39	130
40	180
41	126
42	175
43	160
44	168
45	195
46	170
47	78
48	225
49	190
50	96
51	240
52	280
53	63
54	102
55	270
56	315
57	28
58	108
59	300
60	350
61	147
62	114
63	330
64	420
65	77
66	22