A361314 - cp's OEIS frontend

A361314 a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number which has not appeared that shares a factor with a(n-2) + a(n-1) while the sum a(n) + a(n-1) is distinct from all previous sums a(i) + a(i-1), i=2..n-1.

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	29
13	12
14	41
15	53
16	14
17	67
18	15
19	16
20	31
21	47
22	13
23	20
24	18
25	22
26	24
27	26
28	25
29	17
30	27
31	28
32	11
33	21
34	36
35	30
36	32
37	38
38	34
39	39
40	73
41	35
42	33
43	42
44	45
45	48
46	51
47	44
48	40
49	46
50	43
51	89
52	50
53	139
54	49
55	52
56	101
57	54
58	55
59	109
60	56
61	57
62	113
63	58
64	60
65	59
66	63
67	61
68	62
69	66
70	64
71	65
72	69
73	68
74	137
75	70

[1, 2, 3, 5, 4, 6, 8, 7, 9, 10, 19, 29, 12, 41, 53, 14, 67, 15, 16, 31, 47, 13, 20, 18, 22, 24, 26, 25, 17, 27, 28, 11, 21, 36, 30, 32, 38, 34, 39, 73, 35, 33, 42, 45, 48, 51, 44, 40, 46, 43, 89, 50, 139, 49, 52, 101, 54, 55, 109, 56, 57, 113, 58, 60, 59, 63, 61, 62, 66, 64, 65, 69, 68, 137, 70]

cp's OEIS Frontend

A361314 a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number which has not appeared that shares a factor with a(n-2) + a(n-1) while the sum a(n) + a(n-1) is distinct from all previous sums a(i) + a(i-1), i=2..n-1.

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	29
13	12
14	41
15	53
16	14
17	67
18	15
19	16
20	31
21	47
22	13
23	20
24	18
25	22
26	24
27	26
28	25
29	17
30	27
31	28
32	11
33	21
34	36
35	30
36	32
37	38
38	34
39	39
40	73
41	35
42	33
43	42
44	45
45	48
46	51
47	44
48	40
49	46
50	43
51	89
52	50
53	139
54	49
55	52
56	101
57	54
58	55
59	109
60	56
61	57
62	113
63	58
64	60
65	59
66	63
67	61
68	62
69	66
70	64
71	65
72	69
73	68
74	137
75	70

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	29
13	12
14	41
15	53
16	14
17	67
18	15
19	16
20	31
21	47
22	13
23	20
24	18
25	22
26	24
27	26
28	25
29	17
30	27
31	28
32	11
33	21
34	36
35	30
36	32
37	38
38	34
39	39
40	73
41	35
42	33
43	42
44	45
45	48
46	51
47	44
48	40
49	46
50	43
51	89
52	50
53	139
54	49
55	52
56	101
57	54
58	55
59	109
60	56
61	57
62	113
63	58
64	60
65	59
66	63
67	61
68	62
69	66
70	64
71	65
72	69
73	68
74	137
75	70

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	29
13	12
14	41
15	53
16	14
17	67
18	15
19	16
20	31
21	47
22	13
23	20
24	18
25	22
26	24
27	26
28	25
29	17
30	27
31	28
32	11
33	21
34	36
35	30
36	32
37	38
38	34
39	39
40	73
41	35
42	33
43	42
44	45
45	48
46	51
47	44
48	40
49	46
50	43
51	89
52	50
53	139
54	49
55	52
56	101
57	54
58	55
59	109
60	56
61	57
62	113
63	58
64	60
65	59
66	63
67	61
68	62
69	66
70	64
71	65
72	69
73	68
74	137
75	70