A354824 - cp's OEIS frontend

A354824 Dirichlet inverse of A351084, where A351084(n) = gcd(n, A328572(n)), and A328572 converts the primorial base expansion of n into its prime product form, but with 1 subtracted from all nonzero digits.

n	a(n)
1	1
2	-1
3	-1
4	0
5	-1
6	1
7	-1
8	0
9	0
10	1
11	-1
12	0
13	-1
14	1
15	-3
16	0
17	-1
18	0
19	-1
20	-4
21	1
22	1
23	-1
24	0
25	-24
26	1
27	0
28	0
29	-1
30	7
31	-1
32	0
33	1
34	1
35	1
36	0
37	-1
38	1
39	1
40	8
41	-1
42	-1
43	-1
44	0
45	4
46	1
47	-1
48	0
49	0
50	24
51	1
52	0
53	-1
54	0
55	-3
56	0
57	1
58	1
59	-1
60	4
61	-1
62	1
63	-6
64	0
65	1
66	-1
67	-1
68	0
69	1
70	-7
71	-1
72	0
73	-1
74	1
75	52
76	0
77	-5
78	-1
79	-1
80	-8
81	0
82	1
83	-1
84	-6
85	-3
86	1
87	1
88	0
89	-1
90	-8
91	-5
92	0

[1, -1, -1, 0, -1, 1, -1, 0, 0, 1, -1, 0, -1, 1, -3, 0, -1, 0, -1, -4, 1, 1, -1, 0, -24, 1, 0, 0, -1, 7, -1, 0, 1, 1, 1, 0, -1, 1, 1, 8, -1, -1, -1, 0, 4, 1, -1, 0, 0, 24, 1, 0, -1, 0, -3, 0, 1, 1, -1, 4, -1, 1, -6, 0, 1, -1, -1, 0, 1, -7, -1, 0, -1, 1, 52, 0, -5, -1, -1, -8, 0, 1, -1, -6, -3, 1, 1, 0, -1, -8, -5, 0]

cp's OEIS Frontend

A354824 Dirichlet inverse of A351084, where A351084(n) = gcd(n, A328572(n)), and A328572 converts the primorial base expansion of n into its prime product form, but with 1 subtracted from all nonzero digits.

Table of values

List of values

n	a(n)
1	1
2	-1
3	-1
4	0
5	-1
6	1
7	-1
8	0
9	0
10	1
11	-1
12	0
13	-1
14	1
15	-3
16	0
17	-1
18	0
19	-1
20	-4
21	1
22	1
23	-1
24	0
25	-24
26	1
27	0
28	0
29	-1
30	7
31	-1
32	0
33	1
34	1
35	1
36	0
37	-1
38	1
39	1
40	8
41	-1
42	-1
43	-1
44	0
45	4
46	1
47	-1
48	0
49	0
50	24
51	1
52	0
53	-1
54	0
55	-3
56	0
57	1
58	1
59	-1
60	4
61	-1
62	1
63	-6
64	0
65	1
66	-1
67	-1
68	0
69	1
70	-7
71	-1
72	0
73	-1
74	1
75	52
76	0
77	-5
78	-1
79	-1
80	-8
81	0
82	1
83	-1
84	-6
85	-3
86	1
87	1
88	0
89	-1
90	-8
91	-5
92	0

n	a(n)
1	1
2	-1
3	-1
4	0
5	-1
6	1
7	-1
8	0
9	0
10	1
11	-1
12	0
13	-1
14	1
15	-3
16	0
17	-1
18	0
19	-1
20	-4
21	1
22	1
23	-1
24	0
25	-24
26	1
27	0
28	0
29	-1
30	7
31	-1
32	0
33	1
34	1
35	1
36	0
37	-1
38	1
39	1
40	8
41	-1
42	-1
43	-1
44	0
45	4
46	1
47	-1
48	0
49	0
50	24
51	1
52	0
53	-1
54	0
55	-3
56	0
57	1
58	1
59	-1
60	4
61	-1
62	1
63	-6
64	0
65	1
66	-1
67	-1
68	0
69	1
70	-7
71	-1
72	0
73	-1
74	1
75	52
76	0
77	-5
78	-1
79	-1
80	-8
81	0
82	1
83	-1
84	-6
85	-3
86	1
87	1
88	0
89	-1
90	-8
91	-5
92	0

n	a(n)
1	1
2	-1
3	-1
4	0
5	-1
6	1
7	-1
8	0
9	0
10	1
11	-1
12	0
13	-1
14	1
15	-3
16	0
17	-1
18	0
19	-1
20	-4
21	1
22	1
23	-1
24	0
25	-24
26	1
27	0
28	0
29	-1
30	7
31	-1
32	0
33	1
34	1
35	1
36	0
37	-1
38	1
39	1
40	8
41	-1
42	-1
43	-1
44	0
45	4
46	1
47	-1
48	0
49	0
50	24
51	1
52	0
53	-1
54	0
55	-3
56	0
57	1
58	1
59	-1
60	4
61	-1
62	1
63	-6
64	0
65	1
66	-1
67	-1
68	0
69	1
70	-7
71	-1
72	0
73	-1
74	1
75	52
76	0
77	-5
78	-1
79	-1
80	-8
81	0
82	1
83	-1
84	-6
85	-3
86	1
87	1
88	0
89	-1
90	-8
91	-5
92	0