A369455 - cp's OEIS frontend

A369455 Dirichlet convolution of A083345 with A055615 (Dirichlet inverse of n), where A083345(n) = (n'/gcd(n,n')) and n' is the arithmetic derivative of n.

n	a(n)
1	0
2	1
3	1
4	-1
5	1
6	0
7	1
8	1
9	-1
10	0
11	1
12	-3
13	1
14	0
15	0
16	-4
17	1
18	-6
19	1
20	-3
21	0
22	0
23	1
24	0
25	-3
26	0
27	-5
28	-3
29	1
30	0
31	1
32	1
33	0
34	0
35	0
36	9
37	1
38	0
39	0
40	0
41	1
42	0
43	1
44	-3
45	-6
46	0
47	1
48	-3
49	-5
50	-20
51	0
52	-3
53	1
54	-8
55	0
56	0
57	0
58	0
59	1
60	0
61	1
62	0
63	-6
64	-7
65	0
66	0
67	1
68	-3
69	0
70	0
71	1
72	-6
73	1
74	0
75	-20
76	-3
77	0
78	0
79	1
80	-3
81	1
82	0
83	1
84	0
85	0
86	0
87	0
88	0
89	1
90	0
91	0
92	-3
93	0
94	0
95	0
96	0
97	1
98	-42
99	-6
100	29

[0, 1, 1, -1, 1, 0, 1, 1, -1, 0, 1, -3, 1, 0, 0, -4, 1, -6, 1, -3, 0, 0, 1, 0, -3, 0, -5, -3, 1, 0, 1, 1, 0, 0, 0, 9, 1, 0, 0, 0, 1, 0, 1, -3, -6, 0, 1, -3, -5, -20, 0, -3, 1, -8, 0, 0, 0, 0, 1, 0, 1, 0, -6, -7, 0, 0, 1, -3, 0, 0, 1, -6, 1, 0, -20, -3, 0, 0, 1, -3, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, -3, 0, 0, 0, 0, 1, -42, -6, 29]

cp's OEIS Frontend

A369455 Dirichlet convolution of A083345 with A055615 (Dirichlet inverse of n), where A083345(n) = (n'/gcd(n,n')) and n' is the arithmetic derivative of n.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	-1
5	1
6	0
7	1
8	1
9	-1
10	0
11	1
12	-3
13	1
14	0
15	0
16	-4
17	1
18	-6
19	1
20	-3
21	0
22	0
23	1
24	0
25	-3
26	0
27	-5
28	-3
29	1
30	0
31	1
32	1
33	0
34	0
35	0
36	9
37	1
38	0
39	0
40	0
41	1
42	0
43	1
44	-3
45	-6
46	0
47	1
48	-3
49	-5
50	-20
51	0
52	-3
53	1
54	-8
55	0
56	0
57	0
58	0
59	1
60	0
61	1
62	0
63	-6
64	-7
65	0
66	0
67	1
68	-3
69	0
70	0
71	1
72	-6
73	1
74	0
75	-20
76	-3
77	0
78	0
79	1
80	-3
81	1
82	0
83	1
84	0
85	0
86	0
87	0
88	0
89	1
90	0
91	0
92	-3
93	0
94	0
95	0
96	0
97	1
98	-42
99	-6
100	29

n	a(n)
1	0
2	1
3	1
4	-1
5	1
6	0
7	1
8	1
9	-1
10	0
11	1
12	-3
13	1
14	0
15	0
16	-4
17	1
18	-6
19	1
20	-3
21	0
22	0
23	1
24	0
25	-3
26	0
27	-5
28	-3
29	1
30	0
31	1
32	1
33	0
34	0
35	0
36	9
37	1
38	0
39	0
40	0
41	1
42	0
43	1
44	-3
45	-6
46	0
47	1
48	-3
49	-5
50	-20
51	0
52	-3
53	1
54	-8
55	0
56	0
57	0
58	0
59	1
60	0
61	1
62	0
63	-6
64	-7
65	0
66	0
67	1
68	-3
69	0
70	0
71	1
72	-6
73	1
74	0
75	-20
76	-3
77	0
78	0
79	1
80	-3
81	1
82	0
83	1
84	0
85	0
86	0
87	0
88	0
89	1
90	0
91	0
92	-3
93	0
94	0
95	0
96	0
97	1
98	-42
99	-6
100	29

n	a(n)
1	0
2	1
3	1
4	-1
5	1
6	0
7	1
8	1
9	-1
10	0
11	1
12	-3
13	1
14	0
15	0
16	-4
17	1
18	-6
19	1
20	-3
21	0
22	0
23	1
24	0
25	-3
26	0
27	-5
28	-3
29	1
30	0
31	1
32	1
33	0
34	0
35	0
36	9
37	1
38	0
39	0
40	0
41	1
42	0
43	1
44	-3
45	-6
46	0
47	1
48	-3
49	-5
50	-20
51	0
52	-3
53	1
54	-8
55	0
56	0
57	0
58	0
59	1
60	0
61	1
62	0
63	-6
64	-7
65	0
66	0
67	1
68	-3
69	0
70	0
71	1
72	-6
73	1
74	0
75	-20
76	-3
77	0
78	0
79	1
80	-3
81	1
82	0
83	1
84	0
85	0
86	0
87	0
88	0
89	1
90	0
91	0
92	-3
93	0
94	0
95	0
96	0
97	1
98	-42
99	-6
100	29