A354575 - cp's OEIS frontend

A354575 a(1) = 1; for n > 1, a(n) is the smallest positive number that has not yet appeared that is coprime to 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	5
4	3
5	7
6	4
7	9
8	8
9	15
10	11
11	6
12	17
13	10
14	19
15	13
16	21
17	23
18	12
19	25
20	16
21	31
22	14
23	33
24	20
25	37
26	18
27	41
28	26
29	47
30	22
31	49
32	27
33	43
34	29
35	35
36	53
37	24
38	55
39	28
40	57
41	34
42	59
43	38
44	71
45	30
46	67
47	32
48	73
49	36
50	79
51	39
52	61
53	45
54	77
55	46
56	81
57	91
58	40
59	87
60	44
61	83
62	50
63	99
64	52
65	97
66	42
67	95
68	51
69	65
70	89
71	63
72	101
73	48
74	103
75	54
76	113

[1, 2, 5, 3, 7, 4, 9, 8, 15, 11, 6, 17, 10, 19, 13, 21, 23, 12, 25, 16, 31, 14, 33, 20, 37, 18, 41, 26, 47, 22, 49, 27, 43, 29, 35, 53, 24, 55, 28, 57, 34, 59, 38, 71, 30, 67, 32, 73, 36, 79, 39, 61, 45, 77, 46, 81, 91, 40, 87, 44, 83, 50, 99, 52, 97, 42, 95, 51, 65, 89, 63, 101, 48, 103, 54, 113]

cp's OEIS Frontend

A354575 a(1) = 1; for n > 1, a(n) is the smallest positive number that has not yet appeared that is coprime to 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	5
4	3
5	7
6	4
7	9
8	8
9	15
10	11
11	6
12	17
13	10
14	19
15	13
16	21
17	23
18	12
19	25
20	16
21	31
22	14
23	33
24	20
25	37
26	18
27	41
28	26
29	47
30	22
31	49
32	27
33	43
34	29
35	35
36	53
37	24
38	55
39	28
40	57
41	34
42	59
43	38
44	71
45	30
46	67
47	32
48	73
49	36
50	79
51	39
52	61
53	45
54	77
55	46
56	81
57	91
58	40
59	87
60	44
61	83
62	50
63	99
64	52
65	97
66	42
67	95
68	51
69	65
70	89
71	63
72	101
73	48
74	103
75	54
76	113

n	a(n)
1	1
2	2
3	5
4	3
5	7
6	4
7	9
8	8
9	15
10	11
11	6
12	17
13	10
14	19
15	13
16	21
17	23
18	12
19	25
20	16
21	31
22	14
23	33
24	20
25	37
26	18
27	41
28	26
29	47
30	22
31	49
32	27
33	43
34	29
35	35
36	53
37	24
38	55
39	28
40	57
41	34
42	59
43	38
44	71
45	30
46	67
47	32
48	73
49	36
50	79
51	39
52	61
53	45
54	77
55	46
56	81
57	91
58	40
59	87
60	44
61	83
62	50
63	99
64	52
65	97
66	42
67	95
68	51
69	65
70	89
71	63
72	101
73	48
74	103
75	54
76	113

n	a(n)
1	1
2	2
3	5
4	3
5	7
6	4
7	9
8	8
9	15
10	11
11	6
12	17
13	10
14	19
15	13
16	21
17	23
18	12
19	25
20	16
21	31
22	14
23	33
24	20
25	37
26	18
27	41
28	26
29	47
30	22
31	49
32	27
33	43
34	29
35	35
36	53
37	24
38	55
39	28
40	57
41	34
42	59
43	38
44	71
45	30
46	67
47	32
48	73
49	36
50	79
51	39
52	61
53	45
54	77
55	46
56	81
57	91
58	40
59	87
60	44
61	83
62	50
63	99
64	52
65	97
66	42
67	95
68	51
69	65
70	89
71	63
72	101
73	48
74	103
75	54
76	113