A354823 - cp's OEIS frontend

A354823 Dirichlet inverse of A351083, where A351083(n) = gcd(n, A327860(n)), and A327860 is the arithmetic derivative of the primorial base exp-function.

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

[1, -1, -1, -1, -1, 1, -7, -5, 0, 1, -1, 1, -1, 13, -3, -1, -1, -2, -1, -7, 13, 1, -1, 9, -24, 1, 0, 7, -1, 7, -1, 33, 1, -15, 9, -6, -1, 1, -11, 27, -1, -25, -1, -1, 4, 1, -1, 7, 48, 24, 1, -1, -1, 2, -3, 59, 1, 1, -1, 19, -1, 1, -12, 23, 1, -1, -1, 33, 1, -23, -1, -2, -1, 1, 52, 1, 7, 23, -1, -67, 0, 1, -1, -25]

cp's OEIS Frontend

A354823 Dirichlet inverse of A351083, where A351083(n) = gcd(n, A327860(n)), and A327860 is the arithmetic derivative of the primorial base exp-function.

Table of values

List of values

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

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

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