A233521 - cp's OEIS frontend

A233521 Number of disjoint subsets s of 0..(n-1) such that, for every x in s, x^x (mod n) is in s.

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

[1, 1, 1, 2, 1, 4, 2, 4, 3, 5, 1, 7, 2, 5, 7, 7, 3, 9, 2, 10, 8, 7, 3, 13, 5, 10, 5, 13, 3, 15, 4, 11, 9, 10, 9, 15, 2, 7, 12, 19, 6, 20, 4, 12, 15, 7, 4, 22, 11, 16, 12, 15, 2, 16, 14, 18, 10, 9, 1, 30, 7, 8, 22, 19, 16, 21, 4, 17, 9, 23, 4, 27, 5, 10, 19, 14, 14]

cp's OEIS Frontend

A233521 Number of disjoint subsets s of 0..(n-1) such that, for every x in s, x^x (mod n) is in s.

Table of values

List of values

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

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

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