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A350969 Let phi^(k) denote the k-th iterate of phi (A000010); a(n) is smallest positive k such that phi^(k)(Fibonacci(n)) = 1.

Table of values

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

List of values

[1, 1, 1, 2, 3, 3, 4, 4, 5, 6, 7, 6, 8, 8, 8, 9, 9, 10, 11, 12, 11, 13, 13, 13, 15, 16, 15, 16, 17, 17, 19, 18, 19, 19, 20, 20, 21, 22, 22, 23, 26, 23, 25, 25, 26, 27, 28, 27, 28, 30, 28, 31, 32, 30, 34, 32, 33, 34, 35, 34, 38, 37, 36, 37, 39, 38, 40, 39, 40, 40]

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