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A349911 Dirichlet inverse of A336466, which is fully multiplicative with a(p) = oddpart(p-1).

Table of values

n a(n)
1 1
2 -1
3 -1
4 0
5 -1
6 1
7 -3
8 0
9 0
10 1
11 -5
12 0
13 -3
14 3
15 1
16 0
17 -1
18 0
19 -9
20 0
21 3
22 5
23 -11
24 0
25 0
26 3
27 0
28 0
29 -7
30 -1
31 -15
32 0
33 5
34 1
35 3
36 0
37 -9
38 9
39 3
40 0
41 -5
42 -3
43 -21
44 0
45 0
46 11
47 -23
48 0
49 0
50 0
51 1
52 0
53 -13
54 0
55 5
56 0
57 9
58 7
59 -29
60 0
61 -15
62 15
63 0
64 0
65 3
66 -5
67 -33
68 0
69 11
70 -3
71 -35
72 0
73 -9
74 9
75 0
76 0
77 15
78 -3
79 -39
80 0
81 0
82 5
83 -41
84 0
85 1
86 21
87 7
88 0
89 -11
90 0

List of values

[1, -1, -1, 0, -1, 1, -3, 0, 0, 1, -5, 0, -3, 3, 1, 0, -1, 0, -9, 0, 3, 5, -11, 0, 0, 3, 0, 0, -7, -1, -15, 0, 5, 1, 3, 0, -9, 9, 3, 0, -5, -3, -21, 0, 0, 11, -23, 0, 0, 0, 1, 0, -13, 0, 5, 0, 9, 7, -29, 0, -15, 15, 0, 0, 3, -5, -33, 0, 11, -3, -35, 0, -9, 9, 0, 0, 15, -3, -39, 0, 0, 5, -41, 0, 1, 21, 7, 0, -11, 0]