A213277 - cp's OEIS frontend

A213277 a(n) is the length of the cycle of first differences of k such that Fibonacci(k) mod n = k mod n.

n	a(n)
2	3
3	8
4	3
5	8
6	6
7	16
8	3
9	8
10	14
11	10
12	4
13	28
14	24
15	16
16	3
17	36
18	6
19	18
20	11
21	16
22	15
23	48
24	3
25	18
26	42
27	8
28	12
29	14
30	14
31	30
32	3
33	40
34	18
35	32
36	4
37	76
38	9
39	56
40	11
41	40
42	12
43	88
44	15
45	16
46	24
47	32
48	3
49	16
50	34
51	24
52	21
53	108
54	6
55	8
56	6
57	24
58	21
59	58
60	12
61	60
62	15
63	16
64	3
65	56
66	30
67	136
68	9
69	16
70	56

[3, 8, 3, 8, 6, 16, 3, 8, 14, 10, 4, 28, 24, 16, 3, 36, 6, 18, 11, 16, 15, 48, 3, 18, 42, 8, 12, 14, 14, 30, 3, 40, 18, 32, 4, 76, 9, 56, 11, 40, 12, 88, 15, 16, 24, 32, 3, 16, 34, 24, 21, 108, 6, 8, 6, 24, 21, 58, 12, 60, 15, 16, 3, 56, 30, 136, 9, 16, 56]

cp's OEIS Frontend

A213277 a(n) is the length of the cycle of first differences of k such that Fibonacci(k) mod n = k mod n.

Table of values

List of values

n	a(n)
2	3
3	8
4	3
5	8
6	6
7	16
8	3
9	8
10	14
11	10
12	4
13	28
14	24
15	16
16	3
17	36
18	6
19	18
20	11
21	16
22	15
23	48
24	3
25	18
26	42
27	8
28	12
29	14
30	14
31	30
32	3
33	40
34	18
35	32
36	4
37	76
38	9
39	56
40	11
41	40
42	12
43	88
44	15
45	16
46	24
47	32
48	3
49	16
50	34
51	24
52	21
53	108
54	6
55	8
56	6
57	24
58	21
59	58
60	12
61	60
62	15
63	16
64	3
65	56
66	30
67	136
68	9
69	16
70	56

n	a(n)
2	3
3	8
4	3
5	8
6	6
7	16
8	3
9	8
10	14
11	10
12	4
13	28
14	24
15	16
16	3
17	36
18	6
19	18
20	11
21	16
22	15
23	48
24	3
25	18
26	42
27	8
28	12
29	14
30	14
31	30
32	3
33	40
34	18
35	32
36	4
37	76
38	9
39	56
40	11
41	40
42	12
43	88
44	15
45	16
46	24
47	32
48	3
49	16
50	34
51	24
52	21
53	108
54	6
55	8
56	6
57	24
58	21
59	58
60	12
61	60
62	15
63	16
64	3
65	56
66	30
67	136
68	9
69	16
70	56

n	a(n)
2	3
3	8
4	3
5	8
6	6
7	16
8	3
9	8
10	14
11	10
12	4
13	28
14	24
15	16
16	3
17	36
18	6
19	18
20	11
21	16
22	15
23	48
24	3
25	18
26	42
27	8
28	12
29	14
30	14
31	30
32	3
33	40
34	18
35	32
36	4
37	76
38	9
39	56
40	11
41	40
42	12
43	88
44	15
45	16
46	24
47	32
48	3
49	16
50	34
51	24
52	21
53	108
54	6
55	8
56	6
57	24
58	21
59	58
60	12
61	60
62	15
63	16
64	3
65	56
66	30
67	136
68	9
69	16
70	56