A363576 - cp's OEIS frontend

A363576 a(1) = 1, a(2) = 6; for n > 2, a(n) is the smallest positive number that has not yet appeared such that a(n) has a common factor with a(n-1), has no common factor with 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	6
3	10
4	35
5	21
6	12
7	20
8	55
9	33
10	18
11	28
12	77
13	143
14	26
15	14
16	105
17	51
18	34
19	40
20	95
21	57
22	24
23	22
24	187
25	85
26	15
27	36
28	52
29	65
30	45
31	42
32	68
33	221
34	39
35	63
36	56
37	38
38	171
39	75
40	115
41	46
42	74
43	111
44	69
45	92
46	44
47	165
48	87
49	58
50	88
51	99
52	135
53	50
54	82
55	123
56	183
57	122
58	70
59	133
60	209
61	66
62	93
63	155
64	80
65	114
66	153
67	391
68	161
69	84

[1, 6, 10, 35, 21, 12, 20, 55, 33, 18, 28, 77, 143, 26, 14, 105, 51, 34, 40, 95, 57, 24, 22, 187, 85, 15, 36, 52, 65, 45, 42, 68, 221, 39, 63, 56, 38, 171, 75, 115, 46, 74, 111, 69, 92, 44, 165, 87, 58, 88, 99, 135, 50, 82, 123, 183, 122, 70, 133, 209, 66, 93, 155, 80, 114, 153, 391, 161, 84]

cp's OEIS Frontend

A363576 a(1) = 1, a(2) = 6; for n > 2, a(n) is the smallest positive number that has not yet appeared such that a(n) has a common factor with a(n-1), has no common factor with 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	6
3	10
4	35
5	21
6	12
7	20
8	55
9	33
10	18
11	28
12	77
13	143
14	26
15	14
16	105
17	51
18	34
19	40
20	95
21	57
22	24
23	22
24	187
25	85
26	15
27	36
28	52
29	65
30	45
31	42
32	68
33	221
34	39
35	63
36	56
37	38
38	171
39	75
40	115
41	46
42	74
43	111
44	69
45	92
46	44
47	165
48	87
49	58
50	88
51	99
52	135
53	50
54	82
55	123
56	183
57	122
58	70
59	133
60	209
61	66
62	93
63	155
64	80
65	114
66	153
67	391
68	161
69	84

n	a(n)
1	1
2	6
3	10
4	35
5	21
6	12
7	20
8	55
9	33
10	18
11	28
12	77
13	143
14	26
15	14
16	105
17	51
18	34
19	40
20	95
21	57
22	24
23	22
24	187
25	85
26	15
27	36
28	52
29	65
30	45
31	42
32	68
33	221
34	39
35	63
36	56
37	38
38	171
39	75
40	115
41	46
42	74
43	111
44	69
45	92
46	44
47	165
48	87
49	58
50	88
51	99
52	135
53	50
54	82
55	123
56	183
57	122
58	70
59	133
60	209
61	66
62	93
63	155
64	80
65	114
66	153
67	391
68	161
69	84

n	a(n)
1	1
2	6
3	10
4	35
5	21
6	12
7	20
8	55
9	33
10	18
11	28
12	77
13	143
14	26
15	14
16	105
17	51
18	34
19	40
20	95
21	57
22	24
23	22
24	187
25	85
26	15
27	36
28	52
29	65
30	45
31	42
32	68
33	221
34	39
35	63
36	56
37	38
38	171
39	75
40	115
41	46
42	74
43	111
44	69
45	92
46	44
47	165
48	87
49	58
50	88
51	99
52	135
53	50
54	82
55	123
56	183
57	122
58	70
59	133
60	209
61	66
62	93
63	155
64	80
65	114
66	153
67	391
68	161
69	84