A378606 - cp's OEIS frontend

A378606 Dirichlet convolution of A046692 and A003961, where A046692 is the Dirichlet inverse of sigma, and A003961 is fully multiplicative with a(prime(i)) = prime(i+1).

n	a(n)
1	1
2	0
3	1
4	2
5	1
6	0
7	3
8	6
9	8
10	0
11	1
12	2
13	3
14	0
15	1
16	18
17	1
18	0
19	3
20	2
21	3
22	0
23	5
24	6
25	12
26	0
27	40
28	6
29	1
30	0
31	5
32	54
33	1
34	0
35	3
36	16
37	3
38	0
39	3
40	6
41	1
42	0
43	3
44	2
45	8
46	0
47	5
48	18
49	40
50	0
51	1
52	6
53	5
54	0
55	1
56	18
57	3
58	0
59	1
60	2
61	5
62	0
63	24
64	162
65	3
66	0
67	3
68	2
69	5
70	0
71	1
72	48
73	5
74	0
75	12
76	6
77	3
78	0
79	3
80	18
81	200
82	0
83	5
84	6
85	1
86	0
87	1
88	6
89	7
90	0
91	9
92	10
93	5
94	0
95	3
96	54
97	3
98	0
99	8
100	24

[1, 0, 1, 2, 1, 0, 3, 6, 8, 0, 1, 2, 3, 0, 1, 18, 1, 0, 3, 2, 3, 0, 5, 6, 12, 0, 40, 6, 1, 0, 5, 54, 1, 0, 3, 16, 3, 0, 3, 6, 1, 0, 3, 2, 8, 0, 5, 18, 40, 0, 1, 6, 5, 0, 1, 18, 3, 0, 1, 2, 5, 0, 24, 162, 3, 0, 3, 2, 5, 0, 1, 48, 5, 0, 12, 6, 3, 0, 3, 18, 200, 0, 5, 6, 1, 0, 1, 6, 7, 0, 9, 10, 5, 0, 3, 54, 3, 0, 8, 24]

cp's OEIS Frontend

A378606 Dirichlet convolution of A046692 and A003961, where A046692 is the Dirichlet inverse of sigma, and A003961 is fully multiplicative with a(prime(i)) = prime(i+1).

Table of values

List of values

n	a(n)
1	1
2	0
3	1
4	2
5	1
6	0
7	3
8	6
9	8
10	0
11	1
12	2
13	3
14	0
15	1
16	18
17	1
18	0
19	3
20	2
21	3
22	0
23	5
24	6
25	12
26	0
27	40
28	6
29	1
30	0
31	5
32	54
33	1
34	0
35	3
36	16
37	3
38	0
39	3
40	6
41	1
42	0
43	3
44	2
45	8
46	0
47	5
48	18
49	40
50	0
51	1
52	6
53	5
54	0
55	1
56	18
57	3
58	0
59	1
60	2
61	5
62	0
63	24
64	162
65	3
66	0
67	3
68	2
69	5
70	0
71	1
72	48
73	5
74	0
75	12
76	6
77	3
78	0
79	3
80	18
81	200
82	0
83	5
84	6
85	1
86	0
87	1
88	6
89	7
90	0
91	9
92	10
93	5
94	0
95	3
96	54
97	3
98	0
99	8
100	24

n	a(n)
1	1
2	0
3	1
4	2
5	1
6	0
7	3
8	6
9	8
10	0
11	1
12	2
13	3
14	0
15	1
16	18
17	1
18	0
19	3
20	2
21	3
22	0
23	5
24	6
25	12
26	0
27	40
28	6
29	1
30	0
31	5
32	54
33	1
34	0
35	3
36	16
37	3
38	0
39	3
40	6
41	1
42	0
43	3
44	2
45	8
46	0
47	5
48	18
49	40
50	0
51	1
52	6
53	5
54	0
55	1
56	18
57	3
58	0
59	1
60	2
61	5
62	0
63	24
64	162
65	3
66	0
67	3
68	2
69	5
70	0
71	1
72	48
73	5
74	0
75	12
76	6
77	3
78	0
79	3
80	18
81	200
82	0
83	5
84	6
85	1
86	0
87	1
88	6
89	7
90	0
91	9
92	10
93	5
94	0
95	3
96	54
97	3
98	0
99	8
100	24

n	a(n)
1	1
2	0
3	1
4	2
5	1
6	0
7	3
8	6
9	8
10	0
11	1
12	2
13	3
14	0
15	1
16	18
17	1
18	0
19	3
20	2
21	3
22	0
23	5
24	6
25	12
26	0
27	40
28	6
29	1
30	0
31	5
32	54
33	1
34	0
35	3
36	16
37	3
38	0
39	3
40	6
41	1
42	0
43	3
44	2
45	8
46	0
47	5
48	18
49	40
50	0
51	1
52	6
53	5
54	0
55	1
56	18
57	3
58	0
59	1
60	2
61	5
62	0
63	24
64	162
65	3
66	0
67	3
68	2
69	5
70	0
71	1
72	48
73	5
74	0
75	12
76	6
77	3
78	0
79	3
80	18
81	200
82	0
83	5
84	6
85	1
86	0
87	1
88	6
89	7
90	0
91	9
92	10
93	5
94	0
95	3
96	54
97	3
98	0
99	8
100	24