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A257099 From third root of the inverse of Riemann zeta function: form Dirichlet series Sum b(n)/n^x whose cube is 1/zeta; sequence gives numerator of b(n).

Table of values

n a(n)
1 1
2 -1
3 -1
4 -1
5 -1
6 1
7 -1
8 -5
9 -1
10 1
11 -1
12 1
13 -1
14 1
15 1
16 -10
17 -1
18 1
19 -1
20 1
21 1
22 1
23 -1
24 5
25 -1
26 1
27 -5
28 1
29 -1
30 -1
31 -1
32 -22
33 1
34 1
35 1
36 1
37 -1
38 1
39 1
40 5
41 -1
42 -1
43 -1
44 1
45 1
46 1
47 -1
48 10
49 -1
50 1
51 1
52 1
53 -1
54 5
55 1
56 5
57 1
58 1
59 -1
60 -1
61 -1
62 1
63 1
64 -154
65 1
66 -1
67 -1
68 1
69 1
70 -1
71 -1
72 5
73 -1
74 1
75 1
76 1
77 1
78 -1
79 -1
80 10
81 -10
82 1
83 -1
84 -1
85 1
86 1
87 1
88 5
89 -1
90 -1
91 1
92 1
93 1
94 1
95 1
96 22
97 -1
98 1
99 1
100 1

List of values

[1, -1, -1, -1, -1, 1, -1, -5, -1, 1, -1, 1, -1, 1, 1, -10, -1, 1, -1, 1, 1, 1, -1, 5, -1, 1, -5, 1, -1, -1, -1, -22, 1, 1, 1, 1, -1, 1, 1, 5, -1, -1, -1, 1, 1, 1, -1, 10, -1, 1, 1, 1, -1, 5, 1, 5, 1, 1, -1, -1, -1, 1, 1, -154, 1, -1, -1, 1, 1, -1, -1, 5, -1, 1, 1, 1, 1, -1, -1, 10, -10, 1, -1, -1, 1, 1, 1, 5, -1, -1, 1, 1, 1, 1, 1, 22, -1, 1, 1, 1]