A360523 - cp's OEIS frontend

A360523 a(n) = Sum_{d|n} mu(rad(d)) * delta_d(n/d), where rad(n) = A007947(n) and delta_d(n) is the greatest divisor of n that is relatively prime to d.

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

[1, 1, 2, 2, 4, 2, 6, 5, 7, 4, 10, 4, 12, 6, 8, 12, 16, 7, 18, 8, 12, 10, 22, 10, 23, 12, 24, 12, 28, 8, 30, 27, 20, 16, 24, 14, 36, 18, 24, 20, 40, 12, 42, 20, 28, 22, 46, 24, 47, 23, 32, 24, 52, 24, 40, 30, 36, 28, 58, 16, 60, 30, 42, 58, 48, 20, 66, 32, 44, 24]

cp's OEIS Frontend

A360523 a(n) = Sum_{d|n} mu(rad(d)) * delta_d(n/d), where rad(n) = A007947(n) and delta_d(n) is the greatest divisor of n that is relatively prime to d.

Table of values

List of values

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

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

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