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A210471 Collatz (3x+1) problem with rational numbers: number of steps to reach the end of the cycle starting with 1/(2n+1).

Table of values

n a(n)
0 1
1 3
2 4
3 7
4 6
5 8
6 5
7 18
8 9
9 32
10 11
11 77
12 25
13 9
14 6
15 36
16 29
17 18
18 17
19 12
20 28
21 14
22 23
23 45
24 73
25 55
26 91
27 16
28 17
29 39
30 7
31 36
32 40
33 114
34 87
35 100
36 93
37 34
38 54
39 64
40 14
41 55
42 171
43 80
44 57
45 72
46 42
47 108
48 24
49 12
50 97
51 68
52 31
53 159
54 88
55 10
56 41
57 50
58 23
59 117
60 63
61 61
62 8
63 55
64 72
65 45
66 68

List of values

[1, 3, 4, 7, 6, 8, 5, 18, 9, 32, 11, 77, 25, 9, 6, 36, 29, 18, 17, 12, 28, 14, 23, 45, 73, 55, 91, 16, 17, 39, 7, 36, 40, 114, 87, 100, 93, 34, 54, 64, 14, 55, 171, 80, 57, 72, 42, 108, 24, 12, 97, 68, 31, 159, 88, 10, 41, 50, 23, 117, 63, 61, 8, 55, 72, 45, 68]