A349382 - cp's OEIS frontend

A349382 Dirichlet convolution of A064989 with A346234 (Dirichlet inverse of A003961), where A003961 and A064989 are fully multiplicative sequences that shift the prime factorization of n one step towards larger and smaller primes respectively.

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

[1, -2, -3, -2, -4, 6, -6, -2, -6, 8, -6, 6, -6, 12, 12, -2, -6, 12, -6, 8, 18, 12, -10, 6, -12, 12, -12, 12, -8, -24, -8, -2, 18, 12, 24, 12, -10, 12, 18, 8, -6, -36, -6, 12, 24, 20, -10, 6, -30, 24, 18, 12, -12, 24, 24, 12, 18, 16, -8, -24, -8, 16, 36, -2, 24, -36, -10, 12, 30, -48, -6, 12, -8, 20, 36, 12, 36, -36]

cp's OEIS Frontend

A349382 Dirichlet convolution of A064989 with A346234 (Dirichlet inverse of A003961), where A003961 and A064989 are fully multiplicative sequences that shift the prime factorization of n one step towards larger and smaller primes respectively.

Table of values

List of values

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

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

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