A307087 - cp's OEIS frontend

A307087 a(n) is the number of steps it takes for the sequence f(0)=f(1)=n, f(x)=(a*b) mod (a+b+1), where a=f(x-1) and b=f(x-2), to reach a cycle.

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

[0, 0, 4, 3, 0, 6, 6, 1, 13, 3, 2, 8, 3, 3, 5, 3, 0, 23, 3, 4, 11, 3, 0, 9, 11, 5, 9, 3, 10, 13, 13, 2, 5, 3, 9, 4, 7, 6, 23, 3, 34, 23, 8, 2, 12, 3, 22, 9, 8, 7, 16, 3, 1, 19, 60, 12, 27, 3, 7, 15, 22, 4, 25, 3, 30, 12, 10, 11, 22, 3, 6, 12, 3, 8, 19, 3, 10]

cp's OEIS Frontend

A307087 a(n) is the number of steps it takes for the sequence f(0)=f(1)=n, f(x)=(a*b) mod (a+b+1), where a=f(x-1) and b=f(x-2), to reach a cycle.

Table of values

List of values

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

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

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