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A018804 Pillai's arithmetical function: Sum_{k=1..n} gcd(k, n).

Table of values

n a(n)
1 1
2 3
3 5
4 8
5 9
6 15
7 13
8 20
9 21
10 27
11 21
12 40
13 25
14 39
15 45
16 48
17 33
18 63
19 37
20 72
21 65
22 63
23 45
24 100
25 65
26 75
27 81
28 104
29 57
30 135
31 61
32 112
33 105
34 99
35 117
36 168
37 73
38 111
39 125
40 180
41 81
42 195
43 85
44 168
45 189
46 135
47 93
48 240
49 133
50 195
51 165
52 200
53 105
54 243
55 189
56 260
57 185
58 171
59 117
60 360

List of values

[1, 3, 5, 8, 9, 15, 13, 20, 21, 27, 21, 40, 25, 39, 45, 48, 33, 63, 37, 72, 65, 63, 45, 100, 65, 75, 81, 104, 57, 135, 61, 112, 105, 99, 117, 168, 73, 111, 125, 180, 81, 195, 85, 168, 189, 135, 93, 240, 133, 195, 165, 200, 105, 243, 189, 260, 185, 171, 117, 360]