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A160520 a(n) is the number of distinct values in the periodic part of the continued fraction of the square root of n-th nonsquare positive integer.

Table of values

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

List of values

[1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 3, 2, 1, 2, 4, 2, 3, 4, 3, 2, 1, 2, 3, 3, 2, 4, 2, 3, 3, 2, 1, 2, 2, 2, 2, 2, 4, 3, 3, 5, 3, 2, 1, 2, 4, 3, 4, 2, 2, 3, 2, 4, 3, 5, 3, 2, 1, 2, 5, 2, 4, 3, 4, 2, 3, 2, 2, 5, 4, 3, 3, 2, 1, 2, 2]

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