A362028 - cp's OEIS frontend

A362028 a(n) = Sum_{k=1..n} (-1)^(n-k) * mu(k)^2, where mu(k) is the Moebius function.

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

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

cp's OEIS Frontend

A362028 a(n) = Sum_{k=1..n} (-1)^(n-k) * mu(k)^2, where mu(k) is the Moebius function.

Table of values

List of values

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

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

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