A353006 - cp's OEIS frontend

A353006 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))*|a(n-1) - a(n-2)|.

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	6
7	8
8	7
9	9
10	10
11	19
12	12
13	14
14	13
15	15
16	16
17	31
18	18
19	21
20	24
21	20
22	11
23	27
24	22
25	25
26	30
27	33
28	28
29	35
30	36
31	71
32	40
33	37
34	39
35	26
36	45
37	38
38	42
39	32
40	34
41	44
42	46
43	48
44	47
45	50
46	51
47	101
48	52
49	17
50	23
51	54
52	49
53	55
54	56
55	57
56	113
57	58
58	60
59	59
60	63
61	61
62	62
63	41
64	66
65	65
66	131
67	64
68	67
69	69
70	68
71	137
72	70
73	72
74	74

[1, 2, 3, 5, 4, 6, 8, 7, 9, 10, 19, 12, 14, 13, 15, 16, 31, 18, 21, 24, 20, 11, 27, 22, 25, 30, 33, 28, 35, 36, 71, 40, 37, 39, 26, 45, 38, 42, 32, 34, 44, 46, 48, 47, 50, 51, 101, 52, 17, 23, 54, 49, 55, 56, 57, 113, 58, 60, 59, 63, 61, 62, 41, 66, 65, 131, 64, 67, 69, 68, 137, 70, 72, 74]

cp's OEIS Frontend

A353006 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))*|a(n-1) - 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	8
8	7
9	9
10	10
11	19
12	12
13	14
14	13
15	15
16	16
17	31
18	18
19	21
20	24
21	20
22	11
23	27
24	22
25	25
26	30
27	33
28	28
29	35
30	36
31	71
32	40
33	37
34	39
35	26
36	45
37	38
38	42
39	32
40	34
41	44
42	46
43	48
44	47
45	50
46	51
47	101
48	52
49	17
50	23
51	54
52	49
53	55
54	56
55	57
56	113
57	58
58	60
59	59
60	63
61	61
62	62
63	41
64	66
65	65
66	131
67	64
68	67
69	69
70	68
71	137
72	70
73	72
74	74

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	6
7	8
8	7
9	9
10	10
11	19
12	12
13	14
14	13
15	15
16	16
17	31
18	18
19	21
20	24
21	20
22	11
23	27
24	22
25	25
26	30
27	33
28	28
29	35
30	36
31	71
32	40
33	37
34	39
35	26
36	45
37	38
38	42
39	32
40	34
41	44
42	46
43	48
44	47
45	50
46	51
47	101
48	52
49	17
50	23
51	54
52	49
53	55
54	56
55	57
56	113
57	58
58	60
59	59
60	63
61	61
62	62
63	41
64	66
65	65
66	131
67	64
68	67
69	69
70	68
71	137
72	70
73	72
74	74

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	6
7	8
8	7
9	9
10	10
11	19
12	12
13	14
14	13
15	15
16	16
17	31
18	18
19	21
20	24
21	20
22	11
23	27
24	22
25	25
26	30
27	33
28	28
29	35
30	36
31	71
32	40
33	37
34	39
35	26
36	45
37	38
38	42
39	32
40	34
41	44
42	46
43	48
44	47
45	50
46	51
47	101
48	52
49	17
50	23
51	54
52	49
53	55
54	56
55	57
56	113
57	58
58	60
59	59
60	63
61	61
62	62
63	41
64	66
65	65
66	131
67	64
68	67
69	69
70	68
71	137
72	70
73	72
74	74