A127705 - cp's OEIS frontend

A127705 a(n) = mu(n) + Sum_{k|n, k>1} (k+1)*mu(n/k), where mu = A008683.

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

[1, 2, 3, 2, 5, 1, 7, 4, 6, 3, 11, 4, 13, 5, 7, 8, 17, 6, 19, 8, 11, 9, 23, 8, 20, 11, 18, 12, 29, 9, 31, 16, 19, 15, 23, 12, 37, 17, 23, 16, 41, 13, 43, 20, 24, 21, 47, 16, 42, 20, 31, 24, 53, 18, 39, 24, 35, 27, 59, 16, 61, 29, 36, 32, 47, 21, 67, 32, 43, 25, 71, 24, 73]

cp's OEIS Frontend

A127705 a(n) = mu(n) + Sum_{k|n, k>1} (k+1)*mu(n/k), where mu = A008683.

Table of values

List of values

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

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

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