A353445 - cp's OEIS frontend

A353445 Let f be the completely multiplicative function from the positive integers to the cube roots of unity defined by f(prime(m)) = w^(2^(m-1)), where w is the cube root with positive imaginary part. a(n) is twice the real part of f(n).

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

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

cp's OEIS Frontend

A353445 Let f be the completely multiplicative function from the positive integers to the cube roots of unity defined by f(prime(m)) = w^(2^(m-1)), where w is the cube root with positive imaginary part. a(n) is twice the real part of f(n).

Table of values

List of values

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

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

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