A352768 - cp's OEIS frontend

A352768 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 both a(n-2)+a(n-1) and a(n-2)*a(n-1).

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	15
14	74
15	178
16	24
17	26
18	28
19	21
20	7
21	30
22	111
23	3
24	9
25	27
26	33
27	36
28	39
29	40
30	158
31	32
32	34
33	38
34	42
35	35
36	44
37	316
38	46
39	48
40	50
41	52
42	45
43	194
44	478
45	54
46	56
47	58
48	60
49	62
50	64
51	66
52	55
53	11
54	70
55	63
56	49
57	72
58	77
59	298
60	78
61	68
62	76
63	51
64	254
65	75
66	84
67	57
68	69
69	81
70	87
71	90
72	93
73	96
74	98

[1, 2, 6, 4, 8, 10, 12, 14, 16, 18, 20, 22, 15, 74, 178, 24, 26, 28, 21, 7, 30, 111, 3, 9, 27, 33, 36, 39, 40, 158, 32, 34, 38, 42, 35, 44, 316, 46, 48, 50, 52, 45, 194, 478, 54, 56, 58, 60, 62, 64, 66, 55, 11, 70, 63, 49, 72, 77, 298, 78, 68, 76, 51, 254, 75, 84, 57, 69, 81, 87, 90, 93, 96, 98]

cp's OEIS Frontend

A352768 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 both a(n-2)+a(n-1) and a(n-2)*a(n-1).

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	15
14	74
15	178
16	24
17	26
18	28
19	21
20	7
21	30
22	111
23	3
24	9
25	27
26	33
27	36
28	39
29	40
30	158
31	32
32	34
33	38
34	42
35	35
36	44
37	316
38	46
39	48
40	50
41	52
42	45
43	194
44	478
45	54
46	56
47	58
48	60
49	62
50	64
51	66
52	55
53	11
54	70
55	63
56	49
57	72
58	77
59	298
60	78
61	68
62	76
63	51
64	254
65	75
66	84
67	57
68	69
69	81
70	87
71	90
72	93
73	96
74	98

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	15
14	74
15	178
16	24
17	26
18	28
19	21
20	7
21	30
22	111
23	3
24	9
25	27
26	33
27	36
28	39
29	40
30	158
31	32
32	34
33	38
34	42
35	35
36	44
37	316
38	46
39	48
40	50
41	52
42	45
43	194
44	478
45	54
46	56
47	58
48	60
49	62
50	64
51	66
52	55
53	11
54	70
55	63
56	49
57	72
58	77
59	298
60	78
61	68
62	76
63	51
64	254
65	75
66	84
67	57
68	69
69	81
70	87
71	90
72	93
73	96
74	98

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	15
14	74
15	178
16	24
17	26
18	28
19	21
20	7
21	30
22	111
23	3
24	9
25	27
26	33
27	36
28	39
29	40
30	158
31	32
32	34
33	38
34	42
35	35
36	44
37	316
38	46
39	48
40	50
41	52
42	45
43	194
44	478
45	54
46	56
47	58
48	60
49	62
50	64
51	66
52	55
53	11
54	70
55	63
56	49
57	72
58	77
59	298
60	78
61	68
62	76
63	51
64	254
65	75
66	84
67	57
68	69
69	81
70	87
71	90
72	93
73	96
74	98