A267133 - cp's OEIS frontend

A267133 a(n) = (1/n)(2/n)(3/n)...((n-1)/n) where (k/n) is the Kronecker symbol, n >= 1.

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

[1, 1, -1, 0, 1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0]

cp's OEIS Frontend

A267133 a(n) = (1/n)(2/n)(3/n)...((n-1)/n) where (k/n) is the Kronecker symbol, n >= 1.

Table of values

List of values

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

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

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