A352943 - cp's OEIS frontend

A352943 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 the sum of the largest and second largest value of all previous terms.

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	6
7	11
8	17
9	7
10	8
11	10
12	12
13	29
14	14
15	16
16	18
17	47
18	19
19	20
20	22
21	24
22	26
23	28
24	30
25	21
26	33
27	15
28	25
29	32
30	34
31	9
32	27
33	36
34	83
35	13
36	35
37	38
38	39
39	40
40	42
41	44
42	45
43	46
44	48
45	131
46	50
47	52
48	54
49	56
50	58
51	60
52	62
53	64
54	66
55	68
56	70
57	72
58	74
59	76
60	78
61	80
62	82
63	84
64	43
65	55
66	65
67	75
68	85
69	51
70	57
71	63
72	69
73	81
74	86
75	31

[1, 2, 3, 5, 4, 6, 11, 17, 7, 8, 10, 12, 29, 14, 16, 18, 47, 19, 20, 22, 24, 26, 28, 30, 21, 33, 15, 25, 32, 34, 9, 27, 36, 83, 13, 35, 38, 39, 40, 42, 44, 45, 46, 48, 131, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 43, 55, 65, 75, 85, 51, 57, 63, 69, 81, 86, 31]

cp's OEIS Frontend

A352943 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 the sum of the largest and second largest value of all previous terms.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	6
7	11
8	17
9	7
10	8
11	10
12	12
13	29
14	14
15	16
16	18
17	47
18	19
19	20
20	22
21	24
22	26
23	28
24	30
25	21
26	33
27	15
28	25
29	32
30	34
31	9
32	27
33	36
34	83
35	13
36	35
37	38
38	39
39	40
40	42
41	44
42	45
43	46
44	48
45	131
46	50
47	52
48	54
49	56
50	58
51	60
52	62
53	64
54	66
55	68
56	70
57	72
58	74
59	76
60	78
61	80
62	82
63	84
64	43
65	55
66	65
67	75
68	85
69	51
70	57
71	63
72	69
73	81
74	86
75	31

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	6
7	11
8	17
9	7
10	8
11	10
12	12
13	29
14	14
15	16
16	18
17	47
18	19
19	20
20	22
21	24
22	26
23	28
24	30
25	21
26	33
27	15
28	25
29	32
30	34
31	9
32	27
33	36
34	83
35	13
36	35
37	38
38	39
39	40
40	42
41	44
42	45
43	46
44	48
45	131
46	50
47	52
48	54
49	56
50	58
51	60
52	62
53	64
54	66
55	68
56	70
57	72
58	74
59	76
60	78
61	80
62	82
63	84
64	43
65	55
66	65
67	75
68	85
69	51
70	57
71	63
72	69
73	81
74	86
75	31

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	6
7	11
8	17
9	7
10	8
11	10
12	12
13	29
14	14
15	16
16	18
17	47
18	19
19	20
20	22
21	24
22	26
23	28
24	30
25	21
26	33
27	15
28	25
29	32
30	34
31	9
32	27
33	36
34	83
35	13
36	35
37	38
38	39
39	40
40	42
41	44
42	45
43	46
44	48
45	131
46	50
47	52
48	54
49	56
50	58
51	60
52	62
53	64
54	66
55	68
56	70
57	72
58	74
59	76
60	78
61	80
62	82
63	84
64	43
65	55
66	65
67	75
68	85
69	51
70	57
71	63
72	69
73	81
74	86
75	31