A369864 - cp's OEIS frontend

A369864 a(n) = Sum_{p|n, p prime} n^(mu(n/p)^2).

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	12
7	7
8	1
9	9
10	20
11	11
12	13
13	13
14	28
15	30
16	1
17	17
18	19
19	19
20	21
21	42
22	44
23	23
24	2
25	25
26	52
27	1
28	29
29	29
30	90
31	31
32	1
33	66
34	68
35	70
36	2
37	37
38	76
39	78
40	2
41	41
42	126
43	43
44	45
45	46
46	92
47	47
48	2
49	49
50	51
51	102
52	53
53	53
54	2
55	110
56	2
57	114
58	116
59	59
60	62
61	61
62	124
63	64
64	1
65	130
66	198
67	67
68	69
69	138

[0, 2, 3, 4, 5, 12, 7, 1, 9, 20, 11, 13, 13, 28, 30, 1, 17, 19, 19, 21, 42, 44, 23, 2, 25, 52, 1, 29, 29, 90, 31, 1, 66, 68, 70, 2, 37, 76, 78, 2, 41, 126, 43, 45, 46, 92, 47, 2, 49, 51, 102, 53, 53, 2, 110, 2, 114, 116, 59, 62, 61, 124, 64, 1, 130, 198, 67, 69, 138]

cp's OEIS Frontend

A369864 a(n) = Sum_{p|n, p prime} n^(mu(n/p)^2).

Table of values

List of values

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	12
7	7
8	1
9	9
10	20
11	11
12	13
13	13
14	28
15	30
16	1
17	17
18	19
19	19
20	21
21	42
22	44
23	23
24	2
25	25
26	52
27	1
28	29
29	29
30	90
31	31
32	1
33	66
34	68
35	70
36	2
37	37
38	76
39	78
40	2
41	41
42	126
43	43
44	45
45	46
46	92
47	47
48	2
49	49
50	51
51	102
52	53
53	53
54	2
55	110
56	2
57	114
58	116
59	59
60	62
61	61
62	124
63	64
64	1
65	130
66	198
67	67
68	69
69	138

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	12
7	7
8	1
9	9
10	20
11	11
12	13
13	13
14	28
15	30
16	1
17	17
18	19
19	19
20	21
21	42
22	44
23	23
24	2
25	25
26	52
27	1
28	29
29	29
30	90
31	31
32	1
33	66
34	68
35	70
36	2
37	37
38	76
39	78
40	2
41	41
42	126
43	43
44	45
45	46
46	92
47	47
48	2
49	49
50	51
51	102
52	53
53	53
54	2
55	110
56	2
57	114
58	116
59	59
60	62
61	61
62	124
63	64
64	1
65	130
66	198
67	67
68	69
69	138

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	12
7	7
8	1
9	9
10	20
11	11
12	13
13	13
14	28
15	30
16	1
17	17
18	19
19	19
20	21
21	42
22	44
23	23
24	2
25	25
26	52
27	1
28	29
29	29
30	90
31	31
32	1
33	66
34	68
35	70
36	2
37	37
38	76
39	78
40	2
41	41
42	126
43	43
44	45
45	46
46	92
47	47
48	2
49	49
50	51
51	102
52	53
53	53
54	2
55	110
56	2
57	114
58	116
59	59
60	62
61	61
62	124
63	64
64	1
65	130
66	198
67	67
68	69
69	138