A372865 - cp's OEIS frontend

A372865 a(n) = (Sum_{k = 1..n-1} k*a(k)) (mod n) with a(1) = 1.

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

[1, 1, 0, 3, 0, 3, 5, 4, 1, 9, 1, 6, 9, 7, 2, 15, 2, 9, 13, 10, 3, 21, 3, 12, 17, 13, 4, 27, 4, 15, 21, 16, 5, 33, 5, 18, 25, 19, 6, 39, 6, 21, 29, 22, 7, 45, 7, 24, 33, 25, 8, 51, 8, 27, 37, 28, 9, 57, 9, 30, 41, 31, 10, 63, 10, 33, 45, 34, 11, 69, 11, 36, 49, 37, 12, 75, 12, 39, 53, 40]

cp's OEIS Frontend

A372865 a(n) = (Sum_{k = 1..n-1} k*a(k)) (mod n) with a(1) = 1.

Table of values

List of values

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

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

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