A226570 - cp's OEIS frontend

A226570 a(n) = Sum_{k=1..n} (k+1)! mod n.

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

[0, 0, 2, 0, 2, 2, 4, 0, 8, 2, 10, 8, 8, 4, 2, 8, 11, 8, 7, 12, 11, 10, 19, 8, 12, 8, 8, 4, 15, 2, 0, 24, 32, 28, 32, 8, 3, 26, 8, 32, 2, 32, 14, 32, 17, 42, 16, 8, 46, 12, 11, 8, 11, 8, 32, 32, 26, 44, 26, 32, 20, 0, 53, 24, 47, 32, 63, 28, 65, 32, 66, 8, 53, 40, 62, 64, 32, 8, 18, 72, 62, 2, 25, 32, 62, 14, 44, 32, 74, 62, 60, 88, 62, 16, 7, 56, 78, 46, 98]

cp's OEIS Frontend

A226570 a(n) = Sum_{k=1..n} (k+1)! mod n.

Table of values

List of values

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

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

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