A328702 - cp's OEIS frontend

A328702 Start with 0, a(n) is the smallest number of iterations: x -> (x^2+x+1) mod n needed to run into a cycle.

n	a(n)
1	0
2	1
3	0
4	1
5	2
6	1
7	1
8	1
9	2
10	2
11	3
12	1
13	0
14	1
15	2
16	1
17	3
18	2
19	4
20	2
21	1
22	3
23	1
24	1
25	2
26	1
27	4
28	1
29	1
30	2
31	2
32	1
33	3
34	3
35	2
36	2
37	2
38	4
39	0
40	2
41	4
42	1
43	5
44	3
45	2
46	1
47	3
48	1
49	3
50	2
51	3
52	1
53	9
54	4
55	3
56	1
57	4
58	1
59	6
60	2
61	0
62	2
63	2
64	1
65	2
66	3
67	7
68	3
69	1
70	2
71	2
72	2
73	3
74	2
75	2
76	4
77	3
78	1
79	4
80	2
81	4
82	4
83	14
84	1
85	3
86	5
87	1
88	3
89	8
90	2
91	1

[0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 3, 1, 0, 1, 2, 1, 3, 2, 4, 2, 1, 3, 1, 1, 2, 1, 4, 1, 1, 2, 2, 1, 3, 3, 2, 2, 2, 4, 0, 2, 4, 1, 5, 3, 2, 1, 3, 1, 3, 2, 3, 1, 9, 4, 3, 1, 4, 1, 6, 2, 0, 2, 2, 1, 2, 3, 7, 3, 1, 2, 2, 2, 3, 2, 2, 4, 3, 1, 4, 2, 4, 4, 14, 1, 3, 5, 1, 3, 8, 2, 1]

cp's OEIS Frontend

A328702 Start with 0, a(n) is the smallest number of iterations: x -> (x^2+x+1) mod n needed to run into a cycle.

Table of values

List of values

n	a(n)
1	0
2	1
3	0
4	1
5	2
6	1
7	1
8	1
9	2
10	2
11	3
12	1
13	0
14	1
15	2
16	1
17	3
18	2
19	4
20	2
21	1
22	3
23	1
24	1
25	2
26	1
27	4
28	1
29	1
30	2
31	2
32	1
33	3
34	3
35	2
36	2
37	2
38	4
39	0
40	2
41	4
42	1
43	5
44	3
45	2
46	1
47	3
48	1
49	3
50	2
51	3
52	1
53	9
54	4
55	3
56	1
57	4
58	1
59	6
60	2
61	0
62	2
63	2
64	1
65	2
66	3
67	7
68	3
69	1
70	2
71	2
72	2
73	3
74	2
75	2
76	4
77	3
78	1
79	4
80	2
81	4
82	4
83	14
84	1
85	3
86	5
87	1
88	3
89	8
90	2
91	1

n	a(n)
1	0
2	1
3	0
4	1
5	2
6	1
7	1
8	1
9	2
10	2
11	3
12	1
13	0
14	1
15	2
16	1
17	3
18	2
19	4
20	2
21	1
22	3
23	1
24	1
25	2
26	1
27	4
28	1
29	1
30	2
31	2
32	1
33	3
34	3
35	2
36	2
37	2
38	4
39	0
40	2
41	4
42	1
43	5
44	3
45	2
46	1
47	3
48	1
49	3
50	2
51	3
52	1
53	9
54	4
55	3
56	1
57	4
58	1
59	6
60	2
61	0
62	2
63	2
64	1
65	2
66	3
67	7
68	3
69	1
70	2
71	2
72	2
73	3
74	2
75	2
76	4
77	3
78	1
79	4
80	2
81	4
82	4
83	14
84	1
85	3
86	5
87	1
88	3
89	8
90	2
91	1

n	a(n)
1	0
2	1
3	0
4	1
5	2
6	1
7	1
8	1
9	2
10	2
11	3
12	1
13	0
14	1
15	2
16	1
17	3
18	2
19	4
20	2
21	1
22	3
23	1
24	1
25	2
26	1
27	4
28	1
29	1
30	2
31	2
32	1
33	3
34	3
35	2
36	2
37	2
38	4
39	0
40	2
41	4
42	1
43	5
44	3
45	2
46	1
47	3
48	1
49	3
50	2
51	3
52	1
53	9
54	4
55	3
56	1
57	4
58	1
59	6
60	2
61	0
62	2
63	2
64	1
65	2
66	3
67	7
68	3
69	1
70	2
71	2
72	2
73	3
74	2
75	2
76	4
77	3
78	1
79	4
80	2
81	4
82	4
83	14
84	1
85	3
86	5
87	1
88	3
89	8
90	2
91	1