A349124 - cp's OEIS frontend

A349124 a(n) = A349123(n) / A003557(n), where A349123 is the Dirichlet convolution of the arithmetic derivative with n*tau(n).

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	15
7	1
8	10
9	4
10	21
11	1
12	48
13	1
14	27
15	24
16	20
17	1
18	42
19	1
20	72
21	30
22	39
23	1
24	110
25	4
26	45
27	10
28	96
29	1
30	279
31	1
32	35
33	42
34	57
35	36
36	120
37	1
38	63
39	48
40	170
41	1
42	369
43	1
44	144
45	78
46	75
47	1
48	210
49	4
50	54
51	60
52	168
53	1
54	90
55	48
56	230
57	66
58	93
59	1
60	828
61	1
62	99
63	102
64	56
65	54
66	549
67	1
68	216
69	78
70	531
71	1
72	260
73	1
74	117
75	66
76	240
77	54
78	639
79	1
80	330
81	20
82	129

[0, 1, 1, 4, 1, 15, 1, 10, 4, 21, 1, 48, 1, 27, 24, 20, 1, 42, 1, 72, 30, 39, 1, 110, 4, 45, 10, 96, 1, 279, 1, 35, 42, 57, 36, 120, 1, 63, 48, 170, 1, 369, 1, 144, 78, 75, 1, 210, 4, 54, 60, 168, 1, 90, 48, 230, 66, 93, 1, 828, 1, 99, 102, 56, 54, 549, 1, 216, 78, 531, 1, 260, 1, 117, 66, 240, 54, 639, 1, 330, 20, 129]

cp's OEIS Frontend

A349124 a(n) = A349123(n) / A003557(n), where A349123 is the Dirichlet convolution of the arithmetic derivative with n*tau(n).

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	15
7	1
8	10
9	4
10	21
11	1
12	48
13	1
14	27
15	24
16	20
17	1
18	42
19	1
20	72
21	30
22	39
23	1
24	110
25	4
26	45
27	10
28	96
29	1
30	279
31	1
32	35
33	42
34	57
35	36
36	120
37	1
38	63
39	48
40	170
41	1
42	369
43	1
44	144
45	78
46	75
47	1
48	210
49	4
50	54
51	60
52	168
53	1
54	90
55	48
56	230
57	66
58	93
59	1
60	828
61	1
62	99
63	102
64	56
65	54
66	549
67	1
68	216
69	78
70	531
71	1
72	260
73	1
74	117
75	66
76	240
77	54
78	639
79	1
80	330
81	20
82	129

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	15
7	1
8	10
9	4
10	21
11	1
12	48
13	1
14	27
15	24
16	20
17	1
18	42
19	1
20	72
21	30
22	39
23	1
24	110
25	4
26	45
27	10
28	96
29	1
30	279
31	1
32	35
33	42
34	57
35	36
36	120
37	1
38	63
39	48
40	170
41	1
42	369
43	1
44	144
45	78
46	75
47	1
48	210
49	4
50	54
51	60
52	168
53	1
54	90
55	48
56	230
57	66
58	93
59	1
60	828
61	1
62	99
63	102
64	56
65	54
66	549
67	1
68	216
69	78
70	531
71	1
72	260
73	1
74	117
75	66
76	240
77	54
78	639
79	1
80	330
81	20
82	129

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	15
7	1
8	10
9	4
10	21
11	1
12	48
13	1
14	27
15	24
16	20
17	1
18	42
19	1
20	72
21	30
22	39
23	1
24	110
25	4
26	45
27	10
28	96
29	1
30	279
31	1
32	35
33	42
34	57
35	36
36	120
37	1
38	63
39	48
40	170
41	1
42	369
43	1
44	144
45	78
46	75
47	1
48	210
49	4
50	54
51	60
52	168
53	1
54	90
55	48
56	230
57	66
58	93
59	1
60	828
61	1
62	99
63	102
64	56
65	54
66	549
67	1
68	216
69	78
70	531
71	1
72	260
73	1
74	117
75	66
76	240
77	54
78	639
79	1
80	330
81	20
82	129