A352867 - cp's OEIS frontend

A352867 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 a(n-1), a(n-2), and a(n-1)+a(n-2).

n	a(n)
1	1
2	2
3	6
4	4
5	8
6	10
7	12
8	14
9	16
10	18
11	20
12	22
13	24
14	26
15	28
16	30
17	32
18	34
19	36
20	38
21	40
22	42
23	44
24	46
25	48
26	50
27	52
28	54
29	56
30	58
31	60
32	62
33	64
34	66
35	68
36	70
37	72
38	74
39	76
40	78
41	80
42	82
43	84
44	86
45	88
46	90
47	92
48	94
49	96
50	98
51	100
52	102
53	104
54	106
55	108
56	110
57	112
58	105
59	7
60	21
61	35
62	49
63	63
64	77
65	91
66	119
67	126
68	133
69	140
70	114
71	116

[1, 2, 6, 4, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 105, 7, 21, 35, 49, 63, 77, 91, 119, 126, 133, 140, 114, 116]

cp's OEIS Frontend

A352867 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 a(n-1), a(n-2), and a(n-1)+a(n-2).

Table of values

List of values

n	a(n)
1	1
2	2
3	6
4	4
5	8
6	10
7	12
8	14
9	16
10	18
11	20
12	22
13	24
14	26
15	28
16	30
17	32
18	34
19	36
20	38
21	40
22	42
23	44
24	46
25	48
26	50
27	52
28	54
29	56
30	58
31	60
32	62
33	64
34	66
35	68
36	70
37	72
38	74
39	76
40	78
41	80
42	82
43	84
44	86
45	88
46	90
47	92
48	94
49	96
50	98
51	100
52	102
53	104
54	106
55	108
56	110
57	112
58	105
59	7
60	21
61	35
62	49
63	63
64	77
65	91
66	119
67	126
68	133
69	140
70	114
71	116

n	a(n)
1	1
2	2
3	6
4	4
5	8
6	10
7	12
8	14
9	16
10	18
11	20
12	22
13	24
14	26
15	28
16	30
17	32
18	34
19	36
20	38
21	40
22	42
23	44
24	46
25	48
26	50
27	52
28	54
29	56
30	58
31	60
32	62
33	64
34	66
35	68
36	70
37	72
38	74
39	76
40	78
41	80
42	82
43	84
44	86
45	88
46	90
47	92
48	94
49	96
50	98
51	100
52	102
53	104
54	106
55	108
56	110
57	112
58	105
59	7
60	21
61	35
62	49
63	63
64	77
65	91
66	119
67	126
68	133
69	140
70	114
71	116

n	a(n)
1	1
2	2
3	6
4	4
5	8
6	10
7	12
8	14
9	16
10	18
11	20
12	22
13	24
14	26
15	28
16	30
17	32
18	34
19	36
20	38
21	40
22	42
23	44
24	46
25	48
26	50
27	52
28	54
29	56
30	58
31	60
32	62
33	64
34	66
35	68
36	70
37	72
38	74
39	76
40	78
41	80
42	82
43	84
44	86
45	88
46	90
47	92
48	94
49	96
50	98
51	100
52	102
53	104
54	106
55	108
56	110
57	112
58	105
59	7
60	21
61	35
62	49
63	63
64	77
65	91
66	119
67	126
68	133
69	140
70	114
71	116