A354727 - cp's OEIS frontend

A354727 a(1) = 1; for n > 1, a(n) is the smallest positive number that has not yet appeared that shares a factor with a(n-1) and the difference a(n) - a(n-1) is distinct from all previous differences.

n	a(n)
1	1
2	2
3	4
4	8
5	6
6	3
7	9
8	12
9	20
10	5
11	10
12	22
13	11
14	33
15	15
16	24
17	14
18	7
19	21
20	28
21	16
22	26
23	13
24	39
25	18
26	34
27	17
28	51
29	27
30	42
31	36
32	32
33	50
34	25
35	45
36	40
37	64
38	30
39	55
40	35
41	56
42	48
43	75
44	66
45	38
46	19
47	57
48	76
49	44
50	72
51	46
52	23
53	69
54	92
55	52
56	65
57	95
58	60
59	93
60	31
61	62
62	94
63	47
64	141
65	54
66	90
67	63
68	49
69	84
70	68
71	85
72	125
73	70
74	112
75	58

[1, 2, 4, 8, 6, 3, 9, 12, 20, 5, 10, 22, 11, 33, 15, 24, 14, 7, 21, 28, 16, 26, 13, 39, 18, 34, 17, 51, 27, 42, 36, 32, 50, 25, 45, 40, 64, 30, 55, 35, 56, 48, 75, 66, 38, 19, 57, 76, 44, 72, 46, 23, 69, 92, 52, 65, 95, 60, 93, 31, 62, 94, 47, 141, 54, 90, 63, 49, 84, 68, 85, 125, 70, 112, 58]

cp's OEIS Frontend

A354727 a(1) = 1; for n > 1, a(n) is the smallest positive number that has not yet appeared that shares a factor with a(n-1) and the difference a(n) - a(n-1) is distinct from all previous differences.

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	8
5	6
6	3
7	9
8	12
9	20
10	5
11	10
12	22
13	11
14	33
15	15
16	24
17	14
18	7
19	21
20	28
21	16
22	26
23	13
24	39
25	18
26	34
27	17
28	51
29	27
30	42
31	36
32	32
33	50
34	25
35	45
36	40
37	64
38	30
39	55
40	35
41	56
42	48
43	75
44	66
45	38
46	19
47	57
48	76
49	44
50	72
51	46
52	23
53	69
54	92
55	52
56	65
57	95
58	60
59	93
60	31
61	62
62	94
63	47
64	141
65	54
66	90
67	63
68	49
69	84
70	68
71	85
72	125
73	70
74	112
75	58

n	a(n)
1	1
2	2
3	4
4	8
5	6
6	3
7	9
8	12
9	20
10	5
11	10
12	22
13	11
14	33
15	15
16	24
17	14
18	7
19	21
20	28
21	16
22	26
23	13
24	39
25	18
26	34
27	17
28	51
29	27
30	42
31	36
32	32
33	50
34	25
35	45
36	40
37	64
38	30
39	55
40	35
41	56
42	48
43	75
44	66
45	38
46	19
47	57
48	76
49	44
50	72
51	46
52	23
53	69
54	92
55	52
56	65
57	95
58	60
59	93
60	31
61	62
62	94
63	47
64	141
65	54
66	90
67	63
68	49
69	84
70	68
71	85
72	125
73	70
74	112
75	58

n	a(n)
1	1
2	2
3	4
4	8
5	6
6	3
7	9
8	12
9	20
10	5
11	10
12	22
13	11
14	33
15	15
16	24
17	14
18	7
19	21
20	28
21	16
22	26
23	13
24	39
25	18
26	34
27	17
28	51
29	27
30	42
31	36
32	32
33	50
34	25
35	45
36	40
37	64
38	30
39	55
40	35
41	56
42	48
43	75
44	66
45	38
46	19
47	57
48	76
49	44
50	72
51	46
52	23
53	69
54	92
55	52
56	65
57	95
58	60
59	93
60	31
61	62
62	94
63	47
64	141
65	54
66	90
67	63
68	49
69	84
70	68
71	85
72	125
73	70
74	112
75	58