A347129 - cp's OEIS frontend

A347129 a(n) = A347130(n) / A003557(n), where A347130 is the Dirichlet convolution of the identity function with the arithmetic derivative of n.

n	a(n)
1	0
2	1
3	1
4	3
5	1
6	10
7	1
8	6
9	3
10	14
11	1
12	24
13	1
14	18
15	16
16	10
17	1
18	21
19	1
20	36
21	20
22	26
23	1
24	44
25	3
26	30
27	6
28	48
29	1
30	124
31	1
32	15
33	28
34	38
35	24
36	45
37	1
38	42
39	32
40	68
41	1
42	164
43	1
44	72
45	39
46	50
47	1
48	70
49	3
50	27
51	40
52	84
53	1
54	36
55	32
56	92
57	44
58	62
59	1
60	276
61	1
62	66
63	51
64	21
65	36
66	244
67	1
68	108
69	52
70	236
71	1
72	78
73	1
74	78
75	33
76	120
77	36
78	284
79	1
80	110
81	10
82	86
83	1
84	372
85	44

[0, 1, 1, 3, 1, 10, 1, 6, 3, 14, 1, 24, 1, 18, 16, 10, 1, 21, 1, 36, 20, 26, 1, 44, 3, 30, 6, 48, 1, 124, 1, 15, 28, 38, 24, 45, 1, 42, 32, 68, 1, 164, 1, 72, 39, 50, 1, 70, 3, 27, 40, 84, 1, 36, 32, 92, 44, 62, 1, 276, 1, 66, 51, 21, 36, 244, 1, 108, 52, 236, 1, 78, 1, 78, 33, 120, 36, 284, 1, 110, 10, 86, 1, 372, 44]

cp's OEIS Frontend

A347129 a(n) = A347130(n) / A003557(n), where A347130 is the Dirichlet convolution of the identity function with the arithmetic derivative of n.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	3
5	1
6	10
7	1
8	6
9	3
10	14
11	1
12	24
13	1
14	18
15	16
16	10
17	1
18	21
19	1
20	36
21	20
22	26
23	1
24	44
25	3
26	30
27	6
28	48
29	1
30	124
31	1
32	15
33	28
34	38
35	24
36	45
37	1
38	42
39	32
40	68
41	1
42	164
43	1
44	72
45	39
46	50
47	1
48	70
49	3
50	27
51	40
52	84
53	1
54	36
55	32
56	92
57	44
58	62
59	1
60	276
61	1
62	66
63	51
64	21
65	36
66	244
67	1
68	108
69	52
70	236
71	1
72	78
73	1
74	78
75	33
76	120
77	36
78	284
79	1
80	110
81	10
82	86
83	1
84	372
85	44

n	a(n)
1	0
2	1
3	1
4	3
5	1
6	10
7	1
8	6
9	3
10	14
11	1
12	24
13	1
14	18
15	16
16	10
17	1
18	21
19	1
20	36
21	20
22	26
23	1
24	44
25	3
26	30
27	6
28	48
29	1
30	124
31	1
32	15
33	28
34	38
35	24
36	45
37	1
38	42
39	32
40	68
41	1
42	164
43	1
44	72
45	39
46	50
47	1
48	70
49	3
50	27
51	40
52	84
53	1
54	36
55	32
56	92
57	44
58	62
59	1
60	276
61	1
62	66
63	51
64	21
65	36
66	244
67	1
68	108
69	52
70	236
71	1
72	78
73	1
74	78
75	33
76	120
77	36
78	284
79	1
80	110
81	10
82	86
83	1
84	372
85	44

n	a(n)
1	0
2	1
3	1
4	3
5	1
6	10
7	1
8	6
9	3
10	14
11	1
12	24
13	1
14	18
15	16
16	10
17	1
18	21
19	1
20	36
21	20
22	26
23	1
24	44
25	3
26	30
27	6
28	48
29	1
30	124
31	1
32	15
33	28
34	38
35	24
36	45
37	1
38	42
39	32
40	68
41	1
42	164
43	1
44	72
45	39
46	50
47	1
48	70
49	3
50	27
51	40
52	84
53	1
54	36
55	32
56	92
57	44
58	62
59	1
60	276
61	1
62	66
63	51
64	21
65	36
66	244
67	1
68	108
69	52
70	236
71	1
72	78
73	1
74	78
75	33
76	120
77	36
78	284
79	1
80	110
81	10
82	86
83	1
84	372
85	44