A195017 - cp's OEIS frontend

A195017 If n = Product_{k >= 1} (p_k)^(c_k) where p_k is k-th prime and c_k >= 0 then a(n) = Sum_{k >= 1} c_k*((-1)^(k-1)).

n	a(n)
1	0
2	1
3	-1
4	2
5	1
6	0
7	-1
8	3
9	-2
10	2
11	1
12	1
13	-1
14	0
15	0
16	4
17	1
18	-1
19	-1
20	3
21	-2
22	2
23	1
24	2
25	2
26	0
27	-3
28	1
29	-1
30	1
31	1
32	5
33	0
34	2
35	0
36	0
37	-1
38	0
39	-2
40	4
41	1
42	-1
43	-1
44	3
45	-1
46	2
47	1
48	3
49	-2
50	3
51	0
52	1
53	-1
54	-2
55	2
56	2
57	-2
58	0
59	1
60	2
61	-1
62	2
63	-3
64	6
65	0
66	1
67	1
68	3
69	0
70	1
71	-1
72	1
73	1
74	0
75	1
76	1
77	0
78	-1
79	-1
80	5
81	-4
82	2
83	1
84	0
85	2
86	0
87	-2
88	4
89	-1
90	0
91	-2
92	3
93	0
94	2
95	0
96	4
97	1
98	-1
99	-1
100	4
101	-1
102	1
103	1
104	2
105	-1

[0, 1, -1, 2, 1, 0, -1, 3, -2, 2, 1, 1, -1, 0, 0, 4, 1, -1, -1, 3, -2, 2, 1, 2, 2, 0, -3, 1, -1, 1, 1, 5, 0, 2, 0, 0, -1, 0, -2, 4, 1, -1, -1, 3, -1, 2, 1, 3, -2, 3, 0, 1, -1, -2, 2, 2, -2, 0, 1, 2, -1, 2, -3, 6, 0, 1, 1, 3, 0, 1, -1, 1, 1, 0, 1, 1, 0, -1, -1, 5, -4, 2, 1, 0, 2, 0, -2, 4, -1, 0, -2, 3, 0, 2, 0, 4, 1, -1, -1, 4, -1, 1, 1, 2, -1]

cp's OEIS Frontend

A195017 If n = Product_{k >= 1} (p_k)^(c_k) where p_k is k-th prime and c_k >= 0 then a(n) = Sum_{k >= 1} c_k*((-1)^(k-1)).

Table of values

List of values

n	a(n)
1	0
2	1
3	-1
4	2
5	1
6	0
7	-1
8	3
9	-2
10	2
11	1
12	1
13	-1
14	0
15	0
16	4
17	1
18	-1
19	-1
20	3
21	-2
22	2
23	1
24	2
25	2
26	0
27	-3
28	1
29	-1
30	1
31	1
32	5
33	0
34	2
35	0
36	0
37	-1
38	0
39	-2
40	4
41	1
42	-1
43	-1
44	3
45	-1
46	2
47	1
48	3
49	-2
50	3
51	0
52	1
53	-1
54	-2
55	2
56	2
57	-2
58	0
59	1
60	2
61	-1
62	2
63	-3
64	6
65	0
66	1
67	1
68	3
69	0
70	1
71	-1
72	1
73	1
74	0
75	1
76	1
77	0
78	-1
79	-1
80	5
81	-4
82	2
83	1
84	0
85	2
86	0
87	-2
88	4
89	-1
90	0
91	-2
92	3
93	0
94	2
95	0
96	4
97	1
98	-1
99	-1
100	4
101	-1
102	1
103	1
104	2
105	-1

n	a(n)
1	0
2	1
3	-1
4	2
5	1
6	0
7	-1
8	3
9	-2
10	2
11	1
12	1
13	-1
14	0
15	0
16	4
17	1
18	-1
19	-1
20	3
21	-2
22	2
23	1
24	2
25	2
26	0
27	-3
28	1
29	-1
30	1
31	1
32	5
33	0
34	2
35	0
36	0
37	-1
38	0
39	-2
40	4
41	1
42	-1
43	-1
44	3
45	-1
46	2
47	1
48	3
49	-2
50	3
51	0
52	1
53	-1
54	-2
55	2
56	2
57	-2
58	0
59	1
60	2
61	-1
62	2
63	-3
64	6
65	0
66	1
67	1
68	3
69	0
70	1
71	-1
72	1
73	1
74	0
75	1
76	1
77	0
78	-1
79	-1
80	5
81	-4
82	2
83	1
84	0
85	2
86	0
87	-2
88	4
89	-1
90	0
91	-2
92	3
93	0
94	2
95	0
96	4
97	1
98	-1
99	-1
100	4
101	-1
102	1
103	1
104	2
105	-1

n	a(n)
1	0
2	1
3	-1
4	2
5	1
6	0
7	-1
8	3
9	-2
10	2
11	1
12	1
13	-1
14	0
15	0
16	4
17	1
18	-1
19	-1
20	3
21	-2
22	2
23	1
24	2
25	2
26	0
27	-3
28	1
29	-1
30	1
31	1
32	5
33	0
34	2
35	0
36	0
37	-1
38	0
39	-2
40	4
41	1
42	-1
43	-1
44	3
45	-1
46	2
47	1
48	3
49	-2
50	3
51	0
52	1
53	-1
54	-2
55	2
56	2
57	-2
58	0
59	1
60	2
61	-1
62	2
63	-3
64	6
65	0
66	1
67	1
68	3
69	0
70	1
71	-1
72	1
73	1
74	0
75	1
76	1
77	0
78	-1
79	-1
80	5
81	-4
82	2
83	1
84	0
85	2
86	0
87	-2
88	4
89	-1
90	0
91	-2
92	3
93	0
94	2
95	0
96	4
97	1
98	-1
99	-1
100	4
101	-1
102	1
103	1
104	2
105	-1