A349438 - cp's OEIS frontend

A349438 Dirichlet convolution of A000027 with A349348 (Dirichlet inverse of A252463), where A252463 shifts the prime factorization of odd numbers one step towards smaller primes and divides even numbers by two.

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

[1, 1, 1, 1, 2, 0, 2, 1, 3, 0, 4, -1, 2, 0, 2, 1, 4, -1, 2, -2, 2, 0, 4, -2, 10, 0, 9, -2, 6, -4, 2, 1, 4, 0, 4, -4, 6, 0, 2, -4, 4, -4, 2, -4, 6, 0, 4, -3, 14, -4, 4, -2, 6, -6, 8, -4, 2, 0, 6, -6, 2, 0, 6, 1, 4, -8, 6, -4, 4, -8, 4, -6, 2, 0, 10, -2, 8, -4, 6, -6, 27, 0, 4, -6, 8, 0, 6, -8, 6, -16, 4, -4, 2, 0, 4]

cp's OEIS Frontend

A349438 Dirichlet convolution of A000027 with A349348 (Dirichlet inverse of A252463), where A252463 shifts the prime factorization of odd numbers one step towards smaller primes and divides even numbers by two.

Table of values

List of values

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

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

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