A111419 - cp's OEIS frontend

A111419 a(n) is the smallest positive integer for which Fibonacci(n + a(n)) == Fibonacci(n) (mod n).

n	a(n)
1	1
2	2
3	2
4	6
5	5
6	15
7	2
8	9
9	6
10	10
11	1
12	12
13	2
14	9
15	10
16	24
17	2
18	24
19	1
20	5
21	6
22	7
23	2
24	12
25	25
26	15
27	18
28	48
29	1
30	15
31	1
32	11
33	14
34	19
35	10
36	12
37	2
38	15
39	34
40	60
41	1
42	15
43	2
44	30
45	30
46	25
47	2
48	12
49	14
50	50
51	42
52	78
53	2
54	24
55	10
56	24
57	30
58	13
59	1
60	60
61	1
62	27
63	18
64	96
65	10
66	120
67	2
68	36
69	6
70	25
71	1
72	12
73	2
74	39
75	50
76	18
77	6
78	39
79	1
80	35

[1, 2, 2, 6, 5, 15, 2, 9, 6, 10, 1, 12, 2, 9, 10, 24, 2, 24, 1, 5, 6, 7, 2, 12, 25, 15, 18, 48, 1, 15, 1, 11, 14, 19, 10, 12, 2, 15, 34, 60, 1, 15, 2, 30, 30, 25, 2, 12, 14, 50, 42, 78, 2, 24, 10, 24, 30, 13, 1, 60, 1, 27, 18, 96, 10, 120, 2, 36, 6, 25, 1, 12, 2, 39, 50, 18, 6, 39, 1, 35]

cp's OEIS Frontend

A111419 a(n) is the smallest positive integer for which Fibonacci(n + a(n)) == Fibonacci(n) (mod n).

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	6
5	5
6	15
7	2
8	9
9	6
10	10
11	1
12	12
13	2
14	9
15	10
16	24
17	2
18	24
19	1
20	5
21	6
22	7
23	2
24	12
25	25
26	15
27	18
28	48
29	1
30	15
31	1
32	11
33	14
34	19
35	10
36	12
37	2
38	15
39	34
40	60
41	1
42	15
43	2
44	30
45	30
46	25
47	2
48	12
49	14
50	50
51	42
52	78
53	2
54	24
55	10
56	24
57	30
58	13
59	1
60	60
61	1
62	27
63	18
64	96
65	10
66	120
67	2
68	36
69	6
70	25
71	1
72	12
73	2
74	39
75	50
76	18
77	6
78	39
79	1
80	35

n	a(n)
1	1
2	2
3	2
4	6
5	5
6	15
7	2
8	9
9	6
10	10
11	1
12	12
13	2
14	9
15	10
16	24
17	2
18	24
19	1
20	5
21	6
22	7
23	2
24	12
25	25
26	15
27	18
28	48
29	1
30	15
31	1
32	11
33	14
34	19
35	10
36	12
37	2
38	15
39	34
40	60
41	1
42	15
43	2
44	30
45	30
46	25
47	2
48	12
49	14
50	50
51	42
52	78
53	2
54	24
55	10
56	24
57	30
58	13
59	1
60	60
61	1
62	27
63	18
64	96
65	10
66	120
67	2
68	36
69	6
70	25
71	1
72	12
73	2
74	39
75	50
76	18
77	6
78	39
79	1
80	35

n	a(n)
1	1
2	2
3	2
4	6
5	5
6	15
7	2
8	9
9	6
10	10
11	1
12	12
13	2
14	9
15	10
16	24
17	2
18	24
19	1
20	5
21	6
22	7
23	2
24	12
25	25
26	15
27	18
28	48
29	1
30	15
31	1
32	11
33	14
34	19
35	10
36	12
37	2
38	15
39	34
40	60
41	1
42	15
43	2
44	30
45	30
46	25
47	2
48	12
49	14
50	50
51	42
52	78
53	2
54	24
55	10
56	24
57	30
58	13
59	1
60	60
61	1
62	27
63	18
64	96
65	10
66	120
67	2
68	36
69	6
70	25
71	1
72	12
73	2
74	39
75	50
76	18
77	6
78	39
79	1
80	35