A293248 - cp's OEIS frontend

A293248 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 denominator of the n-th term of S.

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

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

cp's OEIS Frontend

A293248 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 denominator of the n-th term of S.

Table of values

List of values

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

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

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