A343723 - cp's OEIS frontend

A343723 a(n) is 1/4 of the number of starting residues r modulo n from which repeated iterations of the mapping r -> r^2 mod n never reach a fixed point.

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

[0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 4, 0, 3, 4, 5, 0, 4, 4, 4, 4, 6, 0, 7, 0, 6, 0, 5, 4, 8, 8, 6, 0, 8, 6, 10, 8, 5, 10, 11, 0, 10, 8, 0, 8, 12, 8, 10, 8, 12, 12, 14, 0, 14, 14, 12, 0, 10, 12, 16, 0, 15, 10, 17, 8, 16, 16, 12, 16, 17, 12, 19]

cp's OEIS Frontend

A343723 a(n) is 1/4 of the number of starting residues r modulo n from which repeated iterations of the mapping r -> r^2 mod n never reach a fixed point.

Table of values

List of values

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

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

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