A385301 - cp's OEIS frontend

A385301 a(n) = Sum_{k=0..p-1} 1/k! mod p where p is prime(n) and 1/k! is the inverse of k! modulo p.

n	a(n)
1	0
2	1
3	0
4	3
5	6
6	0
7	8
8	4
9	4
10	9
11	21
12	0
13	39
14	37
15	40
16	32
17	26
18	12
19	61
20	6
21	57
22	74
23	21
24	41
25	39
26	60
27	86
28	64
29	4
30	27
31	55
32	2
33	63
34	113
35	29
36	42
37	150
38	97
39	33
40	84
41	100
42	120
43	184
44	72
45	1
46	134
47	100
48	78
49	145
50	8
51	199
52	98
53	65
54	25
55	104
56	95
57	153
58	207
59	90
60	132
61	67
62	132
63	301
64	251
65	293
66	185
67	168
68	176
69	120
70	297

[0, 1, 0, 3, 6, 0, 8, 4, 4, 9, 21, 0, 39, 37, 40, 32, 26, 12, 61, 6, 57, 74, 21, 41, 39, 60, 86, 64, 4, 27, 55, 2, 63, 113, 29, 42, 150, 97, 33, 84, 100, 120, 184, 72, 1, 134, 100, 78, 145, 8, 199, 98, 65, 25, 104, 95, 153, 207, 90, 132, 67, 132, 301, 251, 293, 185, 168, 176, 120, 297]

cp's OEIS Frontend

A385301 a(n) = Sum_{k=0..p-1} 1/k! mod p where p is prime(n) and 1/k! is the inverse of k! modulo p.

Table of values

List of values

n	a(n)
1	0
2	1
3	0
4	3
5	6
6	0
7	8
8	4
9	4
10	9
11	21
12	0
13	39
14	37
15	40
16	32
17	26
18	12
19	61
20	6
21	57
22	74
23	21
24	41
25	39
26	60
27	86
28	64
29	4
30	27
31	55
32	2
33	63
34	113
35	29
36	42
37	150
38	97
39	33
40	84
41	100
42	120
43	184
44	72
45	1
46	134
47	100
48	78
49	145
50	8
51	199
52	98
53	65
54	25
55	104
56	95
57	153
58	207
59	90
60	132
61	67
62	132
63	301
64	251
65	293
66	185
67	168
68	176
69	120
70	297

n	a(n)
1	0
2	1
3	0
4	3
5	6
6	0
7	8
8	4
9	4
10	9
11	21
12	0
13	39
14	37
15	40
16	32
17	26
18	12
19	61
20	6
21	57
22	74
23	21
24	41
25	39
26	60
27	86
28	64
29	4
30	27
31	55
32	2
33	63
34	113
35	29
36	42
37	150
38	97
39	33
40	84
41	100
42	120
43	184
44	72
45	1
46	134
47	100
48	78
49	145
50	8
51	199
52	98
53	65
54	25
55	104
56	95
57	153
58	207
59	90
60	132
61	67
62	132
63	301
64	251
65	293
66	185
67	168
68	176
69	120
70	297

n	a(n)
1	0
2	1
3	0
4	3
5	6
6	0
7	8
8	4
9	4
10	9
11	21
12	0
13	39
14	37
15	40
16	32
17	26
18	12
19	61
20	6
21	57
22	74
23	21
24	41
25	39
26	60
27	86
28	64
29	4
30	27
31	55
32	2
33	63
34	113
35	29
36	42
37	150
38	97
39	33
40	84
41	100
42	120
43	184
44	72
45	1
46	134
47	100
48	78
49	145
50	8
51	199
52	98
53	65
54	25
55	104
56	95
57	153
58	207
59	90
60	132
61	67
62	132
63	301
64	251
65	293
66	185
67	168
68	176
69	120
70	297