A323893 - cp's OEIS frontend

A323893 Dirichlet inverse of A048673, where A048673(n) = (A003961(n)+1) / 2, and A003961 is fully multiplicative with a(prime(i)) = prime(i+1).

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

[1, -2, -3, -1, -4, 4, -6, -2, -4, 5, -7, 3, -9, 7, 6, -4, -10, 8, -12, 4, 8, 8, -15, 8, -9, 10, -12, 6, -16, 5, -19, -8, 9, 11, 9, 8, -21, 13, 11, 11, -22, 11, -24, 7, 16, 16, -27, 20, -25, 18, 12, 9, -30, 32, 10, 17, 14, 17, -31, 6, -34, 20, 24, -16, 12, 14, -36, 10, 17, 20, -37, 16, -40, 22, 27, 12, 12, 20, -42, 28, -36, 23, -45, 12, 13]

cp's OEIS Frontend

A323893 Dirichlet inverse of A048673, where A048673(n) = (A003961(n)+1) / 2, 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	-3
4	-1
5	-4
6	4
7	-6
8	-2
9	-4
10	5
11	-7
12	3
13	-9
14	7
15	6
16	-4
17	-10
18	8
19	-12
20	4
21	8
22	8
23	-15
24	8
25	-9
26	10
27	-12
28	6
29	-16
30	5
31	-19
32	-8
33	9
34	11
35	9
36	8
37	-21
38	13
39	11
40	11
41	-22
42	11
43	-24
44	7
45	16
46	16
47	-27
48	20
49	-25
50	18
51	12
52	9
53	-30
54	32
55	10
56	17
57	14
58	17
59	-31
60	6
61	-34
62	20
63	24
64	-16
65	12
66	14
67	-36
68	10
69	17
70	20
71	-37
72	16
73	-40
74	22
75	27
76	12
77	12
78	20
79	-42
80	28
81	-36
82	23
83	-45
84	12
85	13

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

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