A378753 - cp's OEIS frontend

A378753 Dirichlet inverse of A378752, where A378752(n) = 2*sigma(n) - sigma(A003961(n)), and A003961 is fully multiplicative with a(prime(i)) = prime(i+1).

n	a(n)
1	1
2	-2
3	-2
4	3
5	-4
6	8
7	-4
8	6
9	9
10	12
11	-10
12	2
13	-10
14	16
15	16
16	24
17	-16
18	2
19	-16
20	-4
21	24
22	24
23	-18
24	32
25	11
26	28
27	48
28	4
29	-28
30	-32
31	-26
32	96
33	28
34	36
35	32
36	83
37	-34
38	40
39	36
40	20
41	-40
42	-32
43	-40
44	-22
45	4
46	48
47	-42
48	152
49	35
50	-2
51	40
52	-14
53	-48
54	80
55	48
56	64
57	48
58	60
59	-58
60	80
61	-56
62	64
63	44
64	384
65	56
66	-80
67	-64
68	-40
69	60
70	-64
71	-70
72	370
73	-68
74	76
75	18

[1, -2, -2, 3, -4, 8, -4, 6, 9, 12, -10, 2, -10, 16, 16, 24, -16, 2, -16, -4, 24, 24, -18, 32, 11, 28, 48, 4, -28, -32, -26, 96, 28, 36, 32, 83, -34, 40, 36, 20, -40, -32, -40, -22, 4, 48, -42, 152, 35, -2, 40, -14, -48, 80, 48, 64, 48, 60, -58, 80, -56, 64, 44, 384, 56, -80, -64, -40, 60, -64, -70, 370, -68, 76, 18]

cp's OEIS Frontend

A378753 Dirichlet inverse of A378752, where A378752(n) = 2*sigma(n) - sigma(A003961(n)), and A003961 is fully multiplicative with a(prime(i)) = prime(i+1).

Table of values

List of values

n	a(n)
1	1
2	-2
3	-2
4	3
5	-4
6	8
7	-4
8	6
9	9
10	12
11	-10
12	2
13	-10
14	16
15	16
16	24
17	-16
18	2
19	-16
20	-4
21	24
22	24
23	-18
24	32
25	11
26	28
27	48
28	4
29	-28
30	-32
31	-26
32	96
33	28
34	36
35	32
36	83
37	-34
38	40
39	36
40	20
41	-40
42	-32
43	-40
44	-22
45	4
46	48
47	-42
48	152
49	35
50	-2
51	40
52	-14
53	-48
54	80
55	48
56	64
57	48
58	60
59	-58
60	80
61	-56
62	64
63	44
64	384
65	56
66	-80
67	-64
68	-40
69	60
70	-64
71	-70
72	370
73	-68
74	76
75	18

n	a(n)
1	1
2	-2
3	-2
4	3
5	-4
6	8
7	-4
8	6
9	9
10	12
11	-10
12	2
13	-10
14	16
15	16
16	24
17	-16
18	2
19	-16
20	-4
21	24
22	24
23	-18
24	32
25	11
26	28
27	48
28	4
29	-28
30	-32
31	-26
32	96
33	28
34	36
35	32
36	83
37	-34
38	40
39	36
40	20
41	-40
42	-32
43	-40
44	-22
45	4
46	48
47	-42
48	152
49	35
50	-2
51	40
52	-14
53	-48
54	80
55	48
56	64
57	48
58	60
59	-58
60	80
61	-56
62	64
63	44
64	384
65	56
66	-80
67	-64
68	-40
69	60
70	-64
71	-70
72	370
73	-68
74	76
75	18

n	a(n)
1	1
2	-2
3	-2
4	3
5	-4
6	8
7	-4
8	6
9	9
10	12
11	-10
12	2
13	-10
14	16
15	16
16	24
17	-16
18	2
19	-16
20	-4
21	24
22	24
23	-18
24	32
25	11
26	28
27	48
28	4
29	-28
30	-32
31	-26
32	96
33	28
34	36
35	32
36	83
37	-34
38	40
39	36
40	20
41	-40
42	-32
43	-40
44	-22
45	4
46	48
47	-42
48	152
49	35
50	-2
51	40
52	-14
53	-48
54	80
55	48
56	64
57	48
58	60
59	-58
60	80
61	-56
62	64
63	44
64	384
65	56
66	-80
67	-64
68	-40
69	60
70	-64
71	-70
72	370
73	-68
74	76
75	18