A319997 - cp's OEIS frontend

A319997 a(n) = Sum_{d|n, d is odd} mu(n/d)*d, where mu(n) is Moebius function A008683.

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

[1, -1, 2, 0, 4, -2, 6, 0, 6, -4, 10, 0, 12, -6, 8, 0, 16, -6, 18, 0, 12, -10, 22, 0, 20, -12, 18, 0, 28, -8, 30, 0, 20, -16, 24, 0, 36, -18, 24, 0, 40, -12, 42, 0, 24, -22, 46, 0, 42, -20, 32, 0, 52, -18, 40, 0, 36, -28, 58, 0, 60, -30, 36, 0, 48, -20, 66, 0, 44, -24, 70, 0, 72, -36, 40, 0, 60, -24, 78, 0, 54, -40, 82, 0, 64, -42, 56, 0, 88]

cp's OEIS Frontend

A319997 a(n) = Sum_{d|n, d is odd} mu(n/d)*d, where mu(n) is Moebius function A008683.

Table of values

List of values

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

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

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