A049060 - cp's OEIS frontend

A049060 a(n) = (-1)^omega(n)Sum_{d|n} d(-1)^omega(d), where omega(n) = A001221(n) is number of distinct primes dividing n.

n	a(n)
1	1
2	1
3	2
4	5
5	4
6	2
7	6
8	13
9	11
10	4
11	10
12	10
13	12
14	6
15	8
16	29
17	16
18	11
19	18
20	20
21	12
22	10
23	22
24	26
25	29
26	12
27	38
28	30
29	28
30	8
31	30
32	61
33	20
34	16
35	24
36	55
37	36
38	18
39	24
40	52
41	40
42	12
43	42
44	50
45	44
46	22
47	46
48	58
49	55
50	29
51	32
52	60
53	52
54	38
55	40
56	78
57	36
58	28
59	58
60	40
61	60
62	30
63	66
64	125
65	48
66	20
67	66
68	80
69	44
70	24
71	70

[1, 1, 2, 5, 4, 2, 6, 13, 11, 4, 10, 10, 12, 6, 8, 29, 16, 11, 18, 20, 12, 10, 22, 26, 29, 12, 38, 30, 28, 8, 30, 61, 20, 16, 24, 55, 36, 18, 24, 52, 40, 12, 42, 50, 44, 22, 46, 58, 55, 29, 32, 60, 52, 38, 40, 78, 36, 28, 58, 40, 60, 30, 66, 125, 48, 20, 66, 80, 44, 24, 70]

cp's OEIS Frontend

A049060 a(n) = (-1)^omega(n)Sum_{d|n} d(-1)^omega(d), where omega(n) = A001221(n) is number of distinct primes dividing n.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	5
5	4
6	2
7	6
8	13
9	11
10	4
11	10
12	10
13	12
14	6
15	8
16	29
17	16
18	11
19	18
20	20
21	12
22	10
23	22
24	26
25	29
26	12
27	38
28	30
29	28
30	8
31	30
32	61
33	20
34	16
35	24
36	55
37	36
38	18
39	24
40	52
41	40
42	12
43	42
44	50
45	44
46	22
47	46
48	58
49	55
50	29
51	32
52	60
53	52
54	38
55	40
56	78
57	36
58	28
59	58
60	40
61	60
62	30
63	66
64	125
65	48
66	20
67	66
68	80
69	44
70	24
71	70

n	a(n)
1	1
2	1
3	2
4	5
5	4
6	2
7	6
8	13
9	11
10	4
11	10
12	10
13	12
14	6
15	8
16	29
17	16
18	11
19	18
20	20
21	12
22	10
23	22
24	26
25	29
26	12
27	38
28	30
29	28
30	8
31	30
32	61
33	20
34	16
35	24
36	55
37	36
38	18
39	24
40	52
41	40
42	12
43	42
44	50
45	44
46	22
47	46
48	58
49	55
50	29
51	32
52	60
53	52
54	38
55	40
56	78
57	36
58	28
59	58
60	40
61	60
62	30
63	66
64	125
65	48
66	20
67	66
68	80
69	44
70	24
71	70

cp's OEIS Frontend

A049060 a(n) = (-1)^omega(n)*Sum_{d|n} d*(-1)^omega(d), where omega(n) = A001221(n) is number of distinct primes dividing n.

Table of values

List of values

A049060 a(n) = (-1)^omega(n)Sum_{d|n} d(-1)^omega(d), where omega(n) = A001221(n) is number of distinct primes dividing n.

n	a(n)
1	1
2	1
3	2
4	5
5	4
6	2
7	6
8	13
9	11
10	4
11	10
12	10
13	12
14	6
15	8
16	29
17	16
18	11
19	18
20	20
21	12
22	10
23	22
24	26
25	29
26	12
27	38
28	30
29	28
30	8
31	30
32	61
33	20
34	16
35	24
36	55
37	36
38	18
39	24
40	52
41	40
42	12
43	42
44	50
45	44
46	22
47	46
48	58
49	55
50	29
51	32
52	60
53	52
54	38
55	40
56	78
57	36
58	28
59	58
60	40
61	60
62	30
63	66
64	125
65	48
66	20
67	66
68	80
69	44
70	24
71	70