A360209 - cp's OEIS frontend

A360209 Lexicographically earliest infinite sequence of distinct positive numbers such that, for n > 2, a(n) shares a factor with a(n-2) + a(n-1) but shares no factor with a(n-2).

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	6
7	15
8	7
9	8
10	9
11	17
12	10
13	12
14	11
15	23
16	14
17	37
18	27
19	16
20	43
21	59
22	18
23	21
24	13
25	20
26	22
27	33
28	25
29	26
30	24
31	35
32	295
33	32
34	36
35	51
36	29
37	28
38	19
39	47
40	30
41	44
42	259
43	39
44	34
45	73
46	107
47	38
48	40
49	45
50	119
51	41
52	46
53	42
54	55
55	97
56	48
57	50
58	49
59	57
60	52
61	109
62	63
63	54
64	65
65	77
66	56
67	76
68	69
69	75
70	58
71	91
72	149
73	60
74	66

[1, 2, 3, 5, 4, 6, 15, 7, 8, 9, 17, 10, 12, 11, 23, 14, 37, 27, 16, 43, 59, 18, 21, 13, 20, 22, 33, 25, 26, 24, 35, 295, 32, 36, 51, 29, 28, 19, 47, 30, 44, 259, 39, 34, 73, 107, 38, 40, 45, 119, 41, 46, 42, 55, 97, 48, 50, 49, 57, 52, 109, 63, 54, 65, 77, 56, 76, 69, 75, 58, 91, 149, 60, 66]

cp's OEIS Frontend

A360209 Lexicographically earliest infinite sequence of distinct positive numbers such that, for n > 2, a(n) shares a factor with a(n-2) + a(n-1) but shares no factor with a(n-2).

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	6
7	15
8	7
9	8
10	9
11	17
12	10
13	12
14	11
15	23
16	14
17	37
18	27
19	16
20	43
21	59
22	18
23	21
24	13
25	20
26	22
27	33
28	25
29	26
30	24
31	35
32	295
33	32
34	36
35	51
36	29
37	28
38	19
39	47
40	30
41	44
42	259
43	39
44	34
45	73
46	107
47	38
48	40
49	45
50	119
51	41
52	46
53	42
54	55
55	97
56	48
57	50
58	49
59	57
60	52
61	109
62	63
63	54
64	65
65	77
66	56
67	76
68	69
69	75
70	58
71	91
72	149
73	60
74	66

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	6
7	15
8	7
9	8
10	9
11	17
12	10
13	12
14	11
15	23
16	14
17	37
18	27
19	16
20	43
21	59
22	18
23	21
24	13
25	20
26	22
27	33
28	25
29	26
30	24
31	35
32	295
33	32
34	36
35	51
36	29
37	28
38	19
39	47
40	30
41	44
42	259
43	39
44	34
45	73
46	107
47	38
48	40
49	45
50	119
51	41
52	46
53	42
54	55
55	97
56	48
57	50
58	49
59	57
60	52
61	109
62	63
63	54
64	65
65	77
66	56
67	76
68	69
69	75
70	58
71	91
72	149
73	60
74	66

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	6
7	15
8	7
9	8
10	9
11	17
12	10
13	12
14	11
15	23
16	14
17	37
18	27
19	16
20	43
21	59
22	18
23	21
24	13
25	20
26	22
27	33
28	25
29	26
30	24
31	35
32	295
33	32
34	36
35	51
36	29
37	28
38	19
39	47
40	30
41	44
42	259
43	39
44	34
45	73
46	107
47	38
48	40
49	45
50	119
51	41
52	46
53	42
54	55
55	97
56	48
57	50
58	49
59	57
60	52
61	109
62	63
63	54
64	65
65	77
66	56
67	76
68	69
69	75
70	58
71	91
72	149
73	60
74	66