A369742 - cp's OEIS frontend

A369742 a(n) = Sum_{p|n, p prime} p^(mu(n/p)^2).

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

[0, 2, 3, 2, 5, 5, 7, 1, 3, 7, 11, 3, 13, 9, 8, 1, 17, 4, 19, 3, 10, 13, 23, 2, 5, 15, 1, 3, 29, 10, 31, 1, 14, 19, 12, 2, 37, 21, 16, 2, 41, 12, 43, 3, 4, 25, 47, 2, 7, 6, 20, 3, 53, 2, 16, 2, 22, 31, 59, 4, 61, 33, 4, 1, 18, 16, 67, 3, 26, 14, 71, 2, 73, 39, 6, 3, 18]

cp's OEIS Frontend

A369742 a(n) = Sum_{p|n, p prime} p^(mu(n/p)^2).

Table of values

List of values

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

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

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