A369069 - cp's OEIS frontend

A369069 Dirichlet convolution of Liouville's lambda (A008836) with A083345, where A083345(n) = n' / gcd(n,n'), and n' stands for the arithmetic derivative of n, A003415.

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

[0, 1, 1, 0, 1, 3, 1, 3, 1, 5, 1, 0, 1, 7, 6, -1, 1, 2, 1, 0, 8, 11, 1, 8, 1, 13, 0, 0, 1, 14, 1, 6, 12, 17, 10, 0, 1, 19, 14, 14, 1, 20, 1, 0, 5, 23, 1, -3, 1, 2, 18, 0, 1, 0, 14, 20, 20, 29, 1, 0, 1, 31, 7, -3, 16, 32, 1, 0, 24, 34, 1, 5, 1, 37, 3, 0, 16, 38, 1, -5, 4, 41, 1, 0, 20, 43, 30, 32, 1, 9, 18, 0, 32, 47]

cp's OEIS Frontend

A369069 Dirichlet convolution of Liouville's lambda (A008836) with A083345, where A083345(n) = n' / gcd(n,n'), and n' stands for the arithmetic derivative of n, A003415.

Table of values

List of values

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

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

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