A062563 - cp's OEIS frontend

A062563 a(n) = Sum_{k=1..n} d(k)* mu(k), where d(k) is the number of divisors function.

n	a(n)
1	1
2	-1
3	-3
4	-3
5	-5
6	-1
7	-3
8	-3
9	-3
10	1
11	-1
12	-1
13	-3
14	1
15	5
16	5
17	3
18	3
19	1
20	1
21	5
22	9
23	7
24	7
25	7
26	11
27	11
28	11
29	9
30	1
31	-1
32	-1
33	3
34	7
35	11
36	11
37	9
38	13
39	17
40	17
41	15
42	7
43	5
44	5
45	5
46	9
47	7
48	7
49	7
50	7
51	11
52	11
53	9
54	9
55	13
56	13
57	17
58	21
59	19
60	19
61	17
62	21
63	21
64	21
65	25
66	17
67	15
68	15
69	19
70	11
71	9
72	9
73	7
74	11
75	11
76	11
77	15
78	7
79	5
80	5
81	5
82	9
83	7
84	7
85	11
86	15
87	19
88	19
89	17
90	17
91	21
92	21
93	25
94	29
95	33
96	33
97	31

[1, -1, -3, -3, -5, -1, -3, -3, -3, 1, -1, -1, -3, 1, 5, 5, 3, 3, 1, 1, 5, 9, 7, 7, 7, 11, 11, 11, 9, 1, -1, -1, 3, 7, 11, 11, 9, 13, 17, 17, 15, 7, 5, 5, 5, 9, 7, 7, 7, 7, 11, 11, 9, 9, 13, 13, 17, 21, 19, 19, 17, 21, 21, 21, 25, 17, 15, 15, 19, 11, 9, 9, 7, 11, 11, 11, 15, 7, 5, 5, 5, 9, 7, 7, 11, 15, 19, 19, 17, 17, 21, 21, 25, 29, 33, 33, 31]

cp's OEIS Frontend

A062563 a(n) = Sum_{k=1..n} d(k)* mu(k), where d(k) is the number of divisors function.

Table of values

List of values

n	a(n)
1	1
2	-1
3	-3
4	-3
5	-5
6	-1
7	-3
8	-3
9	-3
10	1
11	-1
12	-1
13	-3
14	1
15	5
16	5
17	3
18	3
19	1
20	1
21	5
22	9
23	7
24	7
25	7
26	11
27	11
28	11
29	9
30	1
31	-1
32	-1
33	3
34	7
35	11
36	11
37	9
38	13
39	17
40	17
41	15
42	7
43	5
44	5
45	5
46	9
47	7
48	7
49	7
50	7
51	11
52	11
53	9
54	9
55	13
56	13
57	17
58	21
59	19
60	19
61	17
62	21
63	21
64	21
65	25
66	17
67	15
68	15
69	19
70	11
71	9
72	9
73	7
74	11
75	11
76	11
77	15
78	7
79	5
80	5
81	5
82	9
83	7
84	7
85	11
86	15
87	19
88	19
89	17
90	17
91	21
92	21
93	25
94	29
95	33
96	33
97	31

n	a(n)
1	1
2	-1
3	-3
4	-3
5	-5
6	-1
7	-3
8	-3
9	-3
10	1
11	-1
12	-1
13	-3
14	1
15	5
16	5
17	3
18	3
19	1
20	1
21	5
22	9
23	7
24	7
25	7
26	11
27	11
28	11
29	9
30	1
31	-1
32	-1
33	3
34	7
35	11
36	11
37	9
38	13
39	17
40	17
41	15
42	7
43	5
44	5
45	5
46	9
47	7
48	7
49	7
50	7
51	11
52	11
53	9
54	9
55	13
56	13
57	17
58	21
59	19
60	19
61	17
62	21
63	21
64	21
65	25
66	17
67	15
68	15
69	19
70	11
71	9
72	9
73	7
74	11
75	11
76	11
77	15
78	7
79	5
80	5
81	5
82	9
83	7
84	7
85	11
86	15
87	19
88	19
89	17
90	17
91	21
92	21
93	25
94	29
95	33
96	33
97	31

n	a(n)
1	1
2	-1
3	-3
4	-3
5	-5
6	-1
7	-3
8	-3
9	-3
10	1
11	-1
12	-1
13	-3
14	1
15	5
16	5
17	3
18	3
19	1
20	1
21	5
22	9
23	7
24	7
25	7
26	11
27	11
28	11
29	9
30	1
31	-1
32	-1
33	3
34	7
35	11
36	11
37	9
38	13
39	17
40	17
41	15
42	7
43	5
44	5
45	5
46	9
47	7
48	7
49	7
50	7
51	11
52	11
53	9
54	9
55	13
56	13
57	17
58	21
59	19
60	19
61	17
62	21
63	21
64	21
65	25
66	17
67	15
68	15
69	19
70	11
71	9
72	9
73	7
74	11
75	11
76	11
77	15
78	7
79	5
80	5
81	5
82	9
83	7
84	7
85	11
86	15
87	19
88	19
89	17
90	17
91	21
92	21
93	25
94	29
95	33
96	33
97	31