A352774 - cp's OEIS frontend

A352774 a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not appeared that does not share a factor with a(n-2) + a(n-1) or a(n-2)*a(n-1).

n	a(n)
1	1
2	2
3	5
4	3
5	7
6	11
7	13
8	17
9	19
10	23
11	25
12	29
13	31
14	37
15	9
16	35
17	41
18	27
19	43
20	47
21	49
22	53
23	55
24	59
25	61
26	67
27	15
28	71
29	73
30	65
31	77
32	51
33	79
34	83
35	85
36	89
37	91
38	97
39	33
40	101
41	95
42	39
43	103
44	107
45	109
46	113
47	115
48	119
49	121
50	127
51	21
52	125
53	131
54	57
55	137
56	139
57	133
58	45
59	143
60	149
61	63
62	145
63	151
64	69
65	157
66	155
67	161
68	81
69	163
70	167

[1, 2, 5, 3, 7, 11, 13, 17, 19, 23, 25, 29, 31, 37, 9, 35, 41, 27, 43, 47, 49, 53, 55, 59, 61, 67, 15, 71, 73, 65, 77, 51, 79, 83, 85, 89, 91, 97, 33, 101, 95, 39, 103, 107, 109, 113, 115, 119, 121, 127, 21, 125, 131, 57, 137, 139, 133, 45, 143, 149, 63, 145, 151, 69, 157, 155, 161, 81, 163, 167]

cp's OEIS Frontend

A352774 a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not appeared that does not share a factor with a(n-2) + a(n-1) or a(n-2)*a(n-1).

Table of values

List of values

n	a(n)
1	1
2	2
3	5
4	3
5	7
6	11
7	13
8	17
9	19
10	23
11	25
12	29
13	31
14	37
15	9
16	35
17	41
18	27
19	43
20	47
21	49
22	53
23	55
24	59
25	61
26	67
27	15
28	71
29	73
30	65
31	77
32	51
33	79
34	83
35	85
36	89
37	91
38	97
39	33
40	101
41	95
42	39
43	103
44	107
45	109
46	113
47	115
48	119
49	121
50	127
51	21
52	125
53	131
54	57
55	137
56	139
57	133
58	45
59	143
60	149
61	63
62	145
63	151
64	69
65	157
66	155
67	161
68	81
69	163
70	167

n	a(n)
1	1
2	2
3	5
4	3
5	7
6	11
7	13
8	17
9	19
10	23
11	25
12	29
13	31
14	37
15	9
16	35
17	41
18	27
19	43
20	47
21	49
22	53
23	55
24	59
25	61
26	67
27	15
28	71
29	73
30	65
31	77
32	51
33	79
34	83
35	85
36	89
37	91
38	97
39	33
40	101
41	95
42	39
43	103
44	107
45	109
46	113
47	115
48	119
49	121
50	127
51	21
52	125
53	131
54	57
55	137
56	139
57	133
58	45
59	143
60	149
61	63
62	145
63	151
64	69
65	157
66	155
67	161
68	81
69	163
70	167

n	a(n)
1	1
2	2
3	5
4	3
5	7
6	11
7	13
8	17
9	19
10	23
11	25
12	29
13	31
14	37
15	9
16	35
17	41
18	27
19	43
20	47
21	49
22	53
23	55
24	59
25	61
26	67
27	15
28	71
29	73
30	65
31	77
32	51
33	79
34	83
35	85
36	89
37	91
38	97
39	33
40	101
41	95
42	39
43	103
44	107
45	109
46	113
47	115
48	119
49	121
50	127
51	21
52	125
53	131
54	57
55	137
56	139
57	133
58	45
59	143
60	149
61	63
62	145
63	151
64	69
65	157
66	155
67	161
68	81
69	163
70	167