A163213 - cp's OEIS frontend

A163213 Swinging Wilson remainders ((p-1)$ + (-1)^floor((p+2)/2))/p mod p, p prime. Here '$' denotes the swinging factorial function (A056040).

n	a(n)
1	1
2	1
3	1
4	3
5	1
6	6
7	9
8	13
9	12
10	2
11	19
12	2
13	5
14	36
15	6
16	19
17	43
18	11
19	47
20	67
21	39
22	41
23	70
24	12
25	17
26	83
27	88
28	81
29	25
30	53
31	91
32	97
33	106
34	79
35	43
36	39
37	7
38	29
39	73
40	6
41	79
42	115

[1, 1, 1, 3, 1, 6, 9, 13, 12, 2, 19, 2, 5, 36, 6, 19, 43, 11, 47, 67, 39, 41, 70, 12, 17, 83, 88, 81, 25, 53, 91, 97, 106, 79, 43, 39, 7, 29, 73, 6, 79, 115]

cp's OEIS Frontend

A163213 Swinging Wilson remainders ((p-1)$ + (-1)^floor((p+2)/2))/p mod p, p prime. Here '$' denotes the swinging factorial function (A056040).

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	3
5	1
6	6
7	9
8	13
9	12
10	2
11	19
12	2
13	5
14	36
15	6
16	19
17	43
18	11
19	47
20	67
21	39
22	41
23	70
24	12
25	17
26	83
27	88
28	81
29	25
30	53
31	91
32	97
33	106
34	79
35	43
36	39
37	7
38	29
39	73
40	6
41	79
42	115

n	a(n)
1	1
2	1
3	1
4	3
5	1
6	6
7	9
8	13
9	12
10	2
11	19
12	2
13	5
14	36
15	6
16	19
17	43
18	11
19	47
20	67
21	39
22	41
23	70
24	12
25	17
26	83
27	88
28	81
29	25
30	53
31	91
32	97
33	106
34	79
35	43
36	39
37	7
38	29
39	73
40	6
41	79
42	115

n	a(n)
1	1
2	1
3	1
4	3
5	1
6	6
7	9
8	13
9	12
10	2
11	19
12	2
13	5
14	36
15	6
16	19
17	43
18	11
19	47
20	67
21	39
22	41
23	70
24	12
25	17
26	83
27	88
28	81
29	25
30	53
31	91
32	97
33	106
34	79
35	43
36	39
37	7
38	29
39	73
40	6
41	79
42	115