A256592 - cp's OEIS frontend

A256592 Let p = prime(n); a(n) = number of pairs (x,i) with i >= 2 and 2 <= x <= p-i such that x(x+1)(x+2)...(x+i-1) == 1 mod p.

n	a(n)
1	0
2	0
3	1
4	2
5	6
6	3
7	8
8	7
9	13
10	15
11	13
12	11
13	13
14	22
15	18
16	25
17	36
18	31
19	34
20	53
21	42
22	38
23	38
24	40
25	55
26	47
27	41
28	37
29	77
30	59
31	62
32	67
33	66
34	63
35	55
36	84
37	74
38	78
39	90
40	74
41	90
42	92
43	85
44	108
45	100
46	117
47	98
48	104
49	136
50	114
51	118
52	118
53	141
54	112
55	118
56	115
57	122
58	138
59	132
60	129
61	115
62	152

[0, 0, 1, 2, 6, 3, 8, 7, 13, 15, 13, 11, 13, 22, 18, 25, 36, 31, 34, 53, 42, 38, 38, 40, 55, 47, 41, 37, 77, 59, 62, 67, 66, 63, 55, 84, 74, 78, 90, 74, 90, 92, 85, 108, 100, 117, 98, 104, 136, 114, 118, 118, 141, 112, 118, 115, 122, 138, 132, 129, 115, 152]

cp's OEIS Frontend

A256592 Let p = prime(n); a(n) = number of pairs (x,i) with i >= 2 and 2 <= x <= p-i such that x(x+1)(x+2)...(x+i-1) == 1 mod p.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	2
5	6
6	3
7	8
8	7
9	13
10	15
11	13
12	11
13	13
14	22
15	18
16	25
17	36
18	31
19	34
20	53
21	42
22	38
23	38
24	40
25	55
26	47
27	41
28	37
29	77
30	59
31	62
32	67
33	66
34	63
35	55
36	84
37	74
38	78
39	90
40	74
41	90
42	92
43	85
44	108
45	100
46	117
47	98
48	104
49	136
50	114
51	118
52	118
53	141
54	112
55	118
56	115
57	122
58	138
59	132
60	129
61	115
62	152

n	a(n)
1	0
2	0
3	1
4	2
5	6
6	3
7	8
8	7
9	13
10	15
11	13
12	11
13	13
14	22
15	18
16	25
17	36
18	31
19	34
20	53
21	42
22	38
23	38
24	40
25	55
26	47
27	41
28	37
29	77
30	59
31	62
32	67
33	66
34	63
35	55
36	84
37	74
38	78
39	90
40	74
41	90
42	92
43	85
44	108
45	100
46	117
47	98
48	104
49	136
50	114
51	118
52	118
53	141
54	112
55	118
56	115
57	122
58	138
59	132
60	129
61	115
62	152

cp's OEIS Frontend

A256592 Let p = prime(n); a(n) = number of pairs (x,i) with i >= 2 and 2 <= x <= p-i such that x*(x+1)*(x+2)*...*(x+i-1) == 1 mod p.

Table of values

List of values

A256592 Let p = prime(n); a(n) = number of pairs (x,i) with i >= 2 and 2 <= x <= p-i such that x(x+1)(x+2)...(x+i-1) == 1 mod p.

n	a(n)
1	0
2	0
3	1
4	2
5	6
6	3
7	8
8	7
9	13
10	15
11	13
12	11
13	13
14	22
15	18
16	25
17	36
18	31
19	34
20	53
21	42
22	38
23	38
24	40
25	55
26	47
27	41
28	37
29	77
30	59
31	62
32	67
33	66
34	63
35	55
36	84
37	74
38	78
39	90
40	74
41	90
42	92
43	85
44	108
45	100
46	117
47	98
48	104
49	136
50	114
51	118
52	118
53	141
54	112
55	118
56	115
57	122
58	138
59	132
60	129
61	115
62	152