A332424 - cp's OEIS frontend

A332424 If n = Product (p_j^k_j) then a(n) = Sum ((-1)^(pi(p_j) + 1) * p_j), where pi = A000720.

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

[0, 2, -3, 2, 5, -1, -7, 2, -3, 7, 11, -1, -13, -5, 2, 2, 17, -1, -19, 7, -10, 13, 23, -1, 5, -11, -3, -5, -29, 4, 31, 2, 8, 19, -2, -1, -37, -17, -16, 7, 41, -8, -43, 13, 2, 25, 47, -1, -7, 7, 14, -11, -53, -1, 16, -5, -22, -27, 59, 4, -61, 33, -10, 2, -8, 10, 67, 19, 20]

cp's OEIS Frontend

A332424 If n = Product (p_j^k_j) then a(n) = Sum ((-1)^(pi(p_j) + 1) * p_j), where pi = A000720.

Table of values

List of values

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

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

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