A335943 - cp's OEIS frontend

A335943 Lexicographically earliest sequence of positive terms such that for any distinct m and n, the fractional parts of a(m)/a(m+1) and of a(n)/a(n+1) are distinct.

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

[1, 1, 2, 3, 4, 3, 5, 4, 5, 6, 5, 7, 5, 8, 7, 6, 7, 8, 9, 7, 9, 8, 11, 7, 10, 7, 11, 8, 13, 9, 10, 9, 11, 9, 13, 10, 11, 10, 13, 11, 12, 11, 13, 12, 13, 14, 9, 14, 11, 14, 13, 15, 11, 15, 13, 16, 11, 16, 13, 17, 11, 17, 12, 17, 13, 18, 13, 19, 12, 19, 13, 20]

cp's OEIS Frontend

A335943 Lexicographically earliest sequence of positive terms such that for any distinct m and n, the fractional parts of a(m)/a(m+1) and of a(n)/a(n+1) are distinct.

Table of values

List of values

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

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

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