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A304819 Dirichlet convolution of r with zeta, where r(n) = (-1)^Omega(n) if n is 1 or not a perfect power and r(n) = 0 otherwise.

Table of values

n a(n)
1 1
2 0
3 0
4 0
5 0
6 0
7 0
8 0
9 0
10 0
11 0
12 -1
13 0
14 0
15 0
16 0
17 0
18 -1
19 0
20 -1
21 0
22 0
23 0
24 0
25 0
26 0
27 0
28 -1
29 0
30 0
31 0
32 0
33 0
34 0
35 0
36 -2
37 0
38 0
39 0
40 0
41 0
42 0
43 0
44 -1
45 -1
46 0
47 0
48 -1
49 0
50 -1
51 0
52 -1
53 0
54 0
55 0
56 0
57 0
58 0
59 0
60 -1
61 0
62 0
63 -1
64 0
65 0
66 0
67 0
68 -1
69 0
70 0
71 0
72 -2
73 0
74 0
75 -1
76 -1
77 0
78 0
79 0
80 -1
81 0

List of values

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, -1, -1, 0, 0, 0, -1, 0]