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A183110 Period-length of the ultimate periodic behavior of the orbit of a list [1,1,1,...,1] of n 1's under the mapping defined in the comments.

Table of values

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

List of values

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