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A128250 LCG periods: periods of the output sequences produced by multiplicative linear congruential generators (LCGs) with prime moduli, for all valid combinations of multiplier and modulus.

Table of values

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

List of values

[1, 1, 2, 1, 4, 4, 2, 1, 3, 6, 3, 6, 2, 1, 10, 5, 5, 5, 10, 10, 10, 5, 2, 1, 12, 3, 6, 4, 12, 12, 4, 3, 6, 12, 2, 1, 8, 16, 4, 16, 16, 16, 8, 8, 16, 16, 16, 4, 16, 8, 2, 1, 18, 18, 9, 9, 9, 3, 6, 9, 18, 3, 6, 18, 18, 18, 9, 9, 2]