A359799 - cp's OEIS frontend

A359799 a(1) = 1, a(2) = 3; for n > 2, a(n) is the smallest positive number which has not appeared that shares a factor with |a(n-1) - a(n-2)| while the difference |a(n) - a(n-1)| is distinct from all previous differences |a(i) - a(i-1)|, i=2..n-1.

n	a(n)
1	1
2	3
3	6
4	12
5	2
6	10
7	14
8	26
9	4
10	11
11	28
12	17
13	22
14	35
15	65
16	5
17	20
18	36
19	8
20	32
21	9
22	23
23	42
24	76
25	18
26	38
27	56
28	15
29	41
30	16
31	25
32	54
33	87
34	21
35	48
36	27
37	63
38	24
39	66
40	7
41	59
42	13
43	44
44	93
45	49
46	84
47	30
48	62
49	100
50	19
51	69
52	106
53	37
54	90
55	212
56	34
57	74
58	122
59	33
60	89
61	46
62	129
63	249
64	39
65	86
66	141
67	40
68	101
69	183
70	50
71	95
72	159
73	52

[1, 3, 6, 12, 2, 10, 14, 26, 4, 11, 28, 17, 22, 35, 65, 5, 20, 36, 8, 32, 9, 23, 42, 76, 18, 38, 56, 15, 41, 16, 25, 54, 87, 21, 48, 27, 63, 24, 66, 7, 59, 13, 44, 93, 49, 84, 30, 62, 100, 19, 69, 106, 37, 90, 212, 34, 74, 122, 33, 89, 46, 129, 249, 39, 86, 141, 40, 101, 183, 50, 95, 159, 52]

cp's OEIS Frontend

A359799 a(1) = 1, a(2) = 3; for n > 2, a(n) is the smallest positive number which has not appeared that shares a factor with |a(n-1) - a(n-2)| while the difference |a(n) - a(n-1)| is distinct from all previous differences |a(i) - a(i-1)|, i=2..n-1.

Table of values

List of values

n	a(n)
1	1
2	3
3	6
4	12
5	2
6	10
7	14
8	26
9	4
10	11
11	28
12	17
13	22
14	35
15	65
16	5
17	20
18	36
19	8
20	32
21	9
22	23
23	42
24	76
25	18
26	38
27	56
28	15
29	41
30	16
31	25
32	54
33	87
34	21
35	48
36	27
37	63
38	24
39	66
40	7
41	59
42	13
43	44
44	93
45	49
46	84
47	30
48	62
49	100
50	19
51	69
52	106
53	37
54	90
55	212
56	34
57	74
58	122
59	33
60	89
61	46
62	129
63	249
64	39
65	86
66	141
67	40
68	101
69	183
70	50
71	95
72	159
73	52

n	a(n)
1	1
2	3
3	6
4	12
5	2
6	10
7	14
8	26
9	4
10	11
11	28
12	17
13	22
14	35
15	65
16	5
17	20
18	36
19	8
20	32
21	9
22	23
23	42
24	76
25	18
26	38
27	56
28	15
29	41
30	16
31	25
32	54
33	87
34	21
35	48
36	27
37	63
38	24
39	66
40	7
41	59
42	13
43	44
44	93
45	49
46	84
47	30
48	62
49	100
50	19
51	69
52	106
53	37
54	90
55	212
56	34
57	74
58	122
59	33
60	89
61	46
62	129
63	249
64	39
65	86
66	141
67	40
68	101
69	183
70	50
71	95
72	159
73	52

n	a(n)
1	1
2	3
3	6
4	12
5	2
6	10
7	14
8	26
9	4
10	11
11	28
12	17
13	22
14	35
15	65
16	5
17	20
18	36
19	8
20	32
21	9
22	23
23	42
24	76
25	18
26	38
27	56
28	15
29	41
30	16
31	25
32	54
33	87
34	21
35	48
36	27
37	63
38	24
39	66
40	7
41	59
42	13
43	44
44	93
45	49
46	84
47	30
48	62
49	100
50	19
51	69
52	106
53	37
54	90
55	212
56	34
57	74
58	122
59	33
60	89
61	46
62	129
63	249
64	39
65	86
66	141
67	40
68	101
69	183
70	50
71	95
72	159
73	52