A346744 - cp's OEIS frontend

A346744 The number of congruences k^(n-k) + (n-k)^k == 0 (mod n) with 0 < k < n.

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

[0, 1, 2, 3, 2, 3, 2, 5, 4, 7, 4, 7, 2, 3, 2, 9, 2, 7, 6, 7, 8, 3, 2, 15, 6, 9, 10, 11, 4, 17, 4, 17, 4, 9, 8, 15, 2, 5, 10, 15, 2, 13, 4, 11, 6, 3, 2, 19, 8, 15, 2, 11, 2, 19, 12, 19, 8, 11, 4, 19, 4, 5, 14, 33, 6, 13, 6, 17, 2, 25, 2, 31, 2, 9, 12, 11, 6, 29, 4]

cp's OEIS Frontend

A346744 The number of congruences k^(n-k) + (n-k)^k == 0 (mod n) with 0 < k < n.

Table of values

List of values

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

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

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