A349133 - cp's OEIS frontend

A349133 Dirichlet convolution of A003415 with A003958, where A003415 is the arithmetic derivative and A003958 is fully multiplicative with a(p) = (p-1).

n	a(n)
1	0
2	1
3	1
4	5
5	1
6	8
7	1
8	17
9	8
10	12
11	1
12	32
13	1
14	16
15	14
16	49
17	1
18	43
19	1
20	52
21	18
22	24
23	1
24	100
25	14
26	28
27	43
28	72
29	1
30	87
31	1
32	129
33	26
34	36
35	22
36	151
37	1
38	40
39	30
40	168
41	1
42	119
43	1
44	112
45	91
46	48
47	1
48	276
49	20
50	103
51	38
52	132
53	1
54	194
55	30
56	236
57	42
58	60
59	1
60	323
61	1
62	64
63	123
64	321
65	34
66	183
67	1
68	172
69	50
70	183
71	1
72	443
73	1
74	76
75	131
76	192
77	34
78	215
79	1
80	472

[0, 1, 1, 5, 1, 8, 1, 17, 8, 12, 1, 32, 1, 16, 14, 49, 1, 43, 1, 52, 18, 24, 1, 100, 14, 28, 43, 72, 1, 87, 1, 129, 26, 36, 22, 151, 1, 40, 30, 168, 1, 119, 1, 112, 91, 48, 1, 276, 20, 103, 38, 132, 1, 194, 30, 236, 42, 60, 1, 323, 1, 64, 123, 321, 34, 183, 1, 172, 50, 183, 1, 443, 1, 76, 131, 192, 34, 215, 1, 472]

cp's OEIS Frontend

A349133 Dirichlet convolution of A003415 with A003958, where A003415 is the arithmetic derivative and A003958 is fully multiplicative with a(p) = (p-1).

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	5
5	1
6	8
7	1
8	17
9	8
10	12
11	1
12	32
13	1
14	16
15	14
16	49
17	1
18	43
19	1
20	52
21	18
22	24
23	1
24	100
25	14
26	28
27	43
28	72
29	1
30	87
31	1
32	129
33	26
34	36
35	22
36	151
37	1
38	40
39	30
40	168
41	1
42	119
43	1
44	112
45	91
46	48
47	1
48	276
49	20
50	103
51	38
52	132
53	1
54	194
55	30
56	236
57	42
58	60
59	1
60	323
61	1
62	64
63	123
64	321
65	34
66	183
67	1
68	172
69	50
70	183
71	1
72	443
73	1
74	76
75	131
76	192
77	34
78	215
79	1
80	472

n	a(n)
1	0
2	1
3	1
4	5
5	1
6	8
7	1
8	17
9	8
10	12
11	1
12	32
13	1
14	16
15	14
16	49
17	1
18	43
19	1
20	52
21	18
22	24
23	1
24	100
25	14
26	28
27	43
28	72
29	1
30	87
31	1
32	129
33	26
34	36
35	22
36	151
37	1
38	40
39	30
40	168
41	1
42	119
43	1
44	112
45	91
46	48
47	1
48	276
49	20
50	103
51	38
52	132
53	1
54	194
55	30
56	236
57	42
58	60
59	1
60	323
61	1
62	64
63	123
64	321
65	34
66	183
67	1
68	172
69	50
70	183
71	1
72	443
73	1
74	76
75	131
76	192
77	34
78	215
79	1
80	472

n	a(n)
1	0
2	1
3	1
4	5
5	1
6	8
7	1
8	17
9	8
10	12
11	1
12	32
13	1
14	16
15	14
16	49
17	1
18	43
19	1
20	52
21	18
22	24
23	1
24	100
25	14
26	28
27	43
28	72
29	1
30	87
31	1
32	129
33	26
34	36
35	22
36	151
37	1
38	40
39	30
40	168
41	1
42	119
43	1
44	112
45	91
46	48
47	1
48	276
49	20
50	103
51	38
52	132
53	1
54	194
55	30
56	236
57	42
58	60
59	1
60	323
61	1
62	64
63	123
64	321
65	34
66	183
67	1
68	172
69	50
70	183
71	1
72	443
73	1
74	76
75	131
76	192
77	34
78	215
79	1
80	472