A332509 - cp's OEIS frontend

A332509 a(n) = Sum_{k=1..n} mu(floor(n/k)), where mu = A008683.

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

[1, 0, 1, 1, 1, 2, 1, 2, 3, 2, 1, 4, 4, 3, 3, 3, 3, 5, 5, 6, 6, 3, 2, 7, 7, 6, 6, 6, 6, 7, 8, 9, 9, 7, 5, 8, 8, 8, 8, 9, 9, 11, 12, 11, 11, 9, 8, 13, 12, 11, 12, 11, 11, 13, 12, 12, 13, 11, 10, 15, 15, 16, 15, 16, 16, 14, 15, 15, 15, 12, 13, 19, 19, 19, 18, 19, 17, 16, 17, 18, 18, 17, 16, 21, 21]

cp's OEIS Frontend

A332509 a(n) = Sum_{k=1..n} mu(floor(n/k)), where mu = A008683.

Table of values

List of values

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

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

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