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A164822 Triangle read by rows, giving the number of solutions mod j of T_k(x) = 1, for j >= 2 and k = 1:j-1, where T_k is the k'th Chebyshev polynomial of the first kind.

Table of values

n a(n)
1 1
2 1
3 2
4 1
5 2
6 1
7 1
8 2
9 2
10 2
11 1
12 4
13 1
14 5
15 1
16 1
17 2
18 2
19 2
20 1
21 4
22 1
23 4
24 1
25 7
26 1
27 4
28 1
29 1
30 2
31 3
32 4
33 1
34 6
35 1
36 4
37 1
38 4
39 2
40 5
41 1
42 8
43 1
44 5
45 2
46 1
47 2
48 2
49 2
50 3
51 4
52 1
53 2
54 2
55 6
56 1
57 4
58 1
59 11
60 1
61 4
62 1
63 11
64 1
65 4
66 1
67 1
68 2
69 2
70 2
71 1
72 4
73 4
74 2
75 2
76 2
77 1
78 6
79 1
80 4
81 2
82 5
83 1
84 8
85 1
86 9
87 2
88 4
89 1
90 9
91 1
92 1
93 4
94 2
95 8
96 1
97 8
98 1
99 8
100 2
101 4
102 1
103 14
104 1

List of values

[1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 4, 1, 5, 1, 1, 2, 2, 2, 1, 4, 1, 4, 1, 7, 1, 4, 1, 1, 2, 3, 4, 1, 6, 1, 4, 1, 4, 2, 5, 1, 8, 1, 5, 2, 1, 2, 2, 2, 3, 4, 1, 2, 2, 6, 1, 4, 1, 11, 1, 4, 1, 11, 1, 4, 1, 1, 2, 2, 2, 1, 4, 4, 2, 2, 2, 1, 6, 1, 4, 2, 5, 1, 8, 1, 9, 2, 4, 1, 9, 1, 1, 4, 2, 8, 1, 8, 1, 8, 2, 4, 1, 14, 1]