A293247 - cp's OEIS frontend

A293247 Let S be the sequence of rational numbers generated by these rules: 1 is in S, and if u/v is in S (with gcd(u, v) = 1), then (u+1)/v and u/(v+1) are in S, and duplicates are deleted as they occur; a(n) = the numerator of the n-th term of S.

n	a(n)
1	1
2	2
3	1
4	3
5	1
6	4
7	3
8	2
9	1
10	5
11	1
12	6
13	5
14	2
15	1
16	7
17	5
18	3
19	1
20	8
21	7
22	5
23	4
24	2
25	1
26	9
27	7
28	3
29	1
30	10
31	9
32	8
33	7
34	4
35	3
36	2
37	1
38	11
39	7
40	5
41	1
42	12
43	11
44	8
45	7
46	6
47	5
48	2
49	1
50	13
51	11
52	9
53	4
54	3
55	5
56	3
57	1
58	14
59	13
60	11
61	4
62	2
63	1
64	15
65	13
66	11
67	5
68	3
69	1
70	16
71	15
72	14
73	13
74	12
75	11
76	6
77	5
78	4
79	3
80	2
81	1

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

cp's OEIS Frontend

A293247 Let S be the sequence of rational numbers generated by these rules: 1 is in S, and if u/v is in S (with gcd(u, v) = 1), then (u+1)/v and u/(v+1) are in S, and duplicates are deleted as they occur; a(n) = the numerator of the n-th term of S.

Table of values

List of values

n	a(n)
1	1
2	2
3	1
4	3
5	1
6	4
7	3
8	2
9	1
10	5
11	1
12	6
13	5
14	2
15	1
16	7
17	5
18	3
19	1
20	8
21	7
22	5
23	4
24	2
25	1
26	9
27	7
28	3
29	1
30	10
31	9
32	8
33	7
34	4
35	3
36	2
37	1
38	11
39	7
40	5
41	1
42	12
43	11
44	8
45	7
46	6
47	5
48	2
49	1
50	13
51	11
52	9
53	4
54	3
55	5
56	3
57	1
58	14
59	13
60	11
61	4
62	2
63	1
64	15
65	13
66	11
67	5
68	3
69	1
70	16
71	15
72	14
73	13
74	12
75	11
76	6
77	5
78	4
79	3
80	2
81	1

n	a(n)
1	1
2	2
3	1
4	3
5	1
6	4
7	3
8	2
9	1
10	5
11	1
12	6
13	5
14	2
15	1
16	7
17	5
18	3
19	1
20	8
21	7
22	5
23	4
24	2
25	1
26	9
27	7
28	3
29	1
30	10
31	9
32	8
33	7
34	4
35	3
36	2
37	1
38	11
39	7
40	5
41	1
42	12
43	11
44	8
45	7
46	6
47	5
48	2
49	1
50	13
51	11
52	9
53	4
54	3
55	5
56	3
57	1
58	14
59	13
60	11
61	4
62	2
63	1
64	15
65	13
66	11
67	5
68	3
69	1
70	16
71	15
72	14
73	13
74	12
75	11
76	6
77	5
78	4
79	3
80	2
81	1

n	a(n)
1	1
2	2
3	1
4	3
5	1
6	4
7	3
8	2
9	1
10	5
11	1
12	6
13	5
14	2
15	1
16	7
17	5
18	3
19	1
20	8
21	7
22	5
23	4
24	2
25	1
26	9
27	7
28	3
29	1
30	10
31	9
32	8
33	7
34	4
35	3
36	2
37	1
38	11
39	7
40	5
41	1
42	12
43	11
44	8
45	7
46	6
47	5
48	2
49	1
50	13
51	11
52	9
53	4
54	3
55	5
56	3
57	1
58	14
59	13
60	11
61	4
62	2
63	1
64	15
65	13
66	11
67	5
68	3
69	1
70	16
71	15
72	14
73	13
74	12
75	11
76	6
77	5
78	4
79	3
80	2
81	1