A319998 - cp's OEIS frontend

A319998 a(n) = Sum_{d|n, d is even} mu(n/d)*d, where mu(n) is Moebius function A008683.

n	a(n)
1	0
2	2
3	0
4	2
5	0
6	4
7	0
8	4
9	0
10	8
11	0
12	4
13	0
14	12
15	0
16	8
17	0
18	12
19	0
20	8
21	0
22	20
23	0
24	8
25	0
26	24
27	0
28	12
29	0
30	16
31	0
32	16
33	0
34	32
35	0
36	12
37	0
38	36
39	0
40	16
41	0
42	24
43	0
44	20
45	0
46	44
47	0
48	16
49	0
50	40
51	0
52	24
53	0
54	36
55	0
56	24
57	0
58	56
59	0
60	16
61	0
62	60
63	0
64	32
65	0
66	40
67	0
68	32
69	0
70	48
71	0
72	24
73	0
74	72
75	0
76	36
77	0
78	48
79	0
80	32
81	0
82	80
83	0
84	24
85	0
86	84
87	0
88	40
89	0
90	48
91	0
92	44
93	0
94	92
95	0
96	32
97	0
98	84
99	0
100	40
101	0
102	64
103	0
104	48
105	0

[0, 2, 0, 2, 0, 4, 0, 4, 0, 8, 0, 4, 0, 12, 0, 8, 0, 12, 0, 8, 0, 20, 0, 8, 0, 24, 0, 12, 0, 16, 0, 16, 0, 32, 0, 12, 0, 36, 0, 16, 0, 24, 0, 20, 0, 44, 0, 16, 0, 40, 0, 24, 0, 36, 0, 24, 0, 56, 0, 16, 0, 60, 0, 32, 0, 40, 0, 32, 0, 48, 0, 24, 0, 72, 0, 36, 0, 48, 0, 32, 0, 80, 0, 24, 0, 84, 0, 40, 0, 48, 0, 44, 0, 92, 0, 32, 0, 84, 0, 40, 0, 64, 0, 48, 0]

cp's OEIS Frontend

A319998 a(n) = Sum_{d|n, d is even} mu(n/d)*d, where mu(n) is Moebius function A008683.

Table of values

List of values

n	a(n)
1	0
2	2
3	0
4	2
5	0
6	4
7	0
8	4
9	0
10	8
11	0
12	4
13	0
14	12
15	0
16	8
17	0
18	12
19	0
20	8
21	0
22	20
23	0
24	8
25	0
26	24
27	0
28	12
29	0
30	16
31	0
32	16
33	0
34	32
35	0
36	12
37	0
38	36
39	0
40	16
41	0
42	24
43	0
44	20
45	0
46	44
47	0
48	16
49	0
50	40
51	0
52	24
53	0
54	36
55	0
56	24
57	0
58	56
59	0
60	16
61	0
62	60
63	0
64	32
65	0
66	40
67	0
68	32
69	0
70	48
71	0
72	24
73	0
74	72
75	0
76	36
77	0
78	48
79	0
80	32
81	0
82	80
83	0
84	24
85	0
86	84
87	0
88	40
89	0
90	48
91	0
92	44
93	0
94	92
95	0
96	32
97	0
98	84
99	0
100	40
101	0
102	64
103	0
104	48
105	0

n	a(n)
1	0
2	2
3	0
4	2
5	0
6	4
7	0
8	4
9	0
10	8
11	0
12	4
13	0
14	12
15	0
16	8
17	0
18	12
19	0
20	8
21	0
22	20
23	0
24	8
25	0
26	24
27	0
28	12
29	0
30	16
31	0
32	16
33	0
34	32
35	0
36	12
37	0
38	36
39	0
40	16
41	0
42	24
43	0
44	20
45	0
46	44
47	0
48	16
49	0
50	40
51	0
52	24
53	0
54	36
55	0
56	24
57	0
58	56
59	0
60	16
61	0
62	60
63	0
64	32
65	0
66	40
67	0
68	32
69	0
70	48
71	0
72	24
73	0
74	72
75	0
76	36
77	0
78	48
79	0
80	32
81	0
82	80
83	0
84	24
85	0
86	84
87	0
88	40
89	0
90	48
91	0
92	44
93	0
94	92
95	0
96	32
97	0
98	84
99	0
100	40
101	0
102	64
103	0
104	48
105	0

n	a(n)
1	0
2	2
3	0
4	2
5	0
6	4
7	0
8	4
9	0
10	8
11	0
12	4
13	0
14	12
15	0
16	8
17	0
18	12
19	0
20	8
21	0
22	20
23	0
24	8
25	0
26	24
27	0
28	12
29	0
30	16
31	0
32	16
33	0
34	32
35	0
36	12
37	0
38	36
39	0
40	16
41	0
42	24
43	0
44	20
45	0
46	44
47	0
48	16
49	0
50	40
51	0
52	24
53	0
54	36
55	0
56	24
57	0
58	56
59	0
60	16
61	0
62	60
63	0
64	32
65	0
66	40
67	0
68	32
69	0
70	48
71	0
72	24
73	0
74	72
75	0
76	36
77	0
78	48
79	0
80	32
81	0
82	80
83	0
84	24
85	0
86	84
87	0
88	40
89	0
90	48
91	0
92	44
93	0
94	92
95	0
96	32
97	0
98	84
99	0
100	40
101	0
102	64
103	0
104	48
105	0