A254411 - cp's OEIS frontend

A254411 Limit of f(f(f(...f(0)...))) modulo n as the number of iterations of f(x) = 2^x+1 grows.

n	a(n)
1	0
2	1
3	0
4	1
5	3
6	3
7	2
8	1
9	0
10	3
11	9
12	9
13	6
14	9
15	3
16	1
17	3
18	9
19	0
20	13
21	9
22	9
23	7
24	9
25	18
26	19
27	0
28	9
29	20
30	3
31	9
32	1
33	9
34	3
35	23
36	9
37	32
38	19
39	6
40	33
41	34
42	9
43	40
44	9
45	18
46	7
47	35
48	33
49	23
50	43
51	3
52	45
53	42
54	27
55	53
56	9
57	0
58	49
59	32
60	33
61	54
62	9
63	9
64	1
65	58
66	9
67	44
68	37
69	30
70	23
71	30
72	9
73	2
74	69
75	18
76	57
77	9
78	45
79	65
80	33
81	0
82	75
83	25
84	9
85	3
86	83
87	78
88	9
89	68
90	63
91	58
92	53
93	9
94	35
95	38
96	33
97	71
98	23
99	9
100	93

[0, 1, 0, 1, 3, 3, 2, 1, 0, 3, 9, 9, 6, 9, 3, 1, 3, 9, 0, 13, 9, 9, 7, 9, 18, 19, 0, 9, 20, 3, 9, 1, 9, 3, 23, 9, 32, 19, 6, 33, 34, 9, 40, 9, 18, 7, 35, 33, 23, 43, 3, 45, 42, 27, 53, 9, 0, 49, 32, 33, 54, 9, 9, 1, 58, 9, 44, 37, 30, 23, 30, 9, 2, 69, 18, 57, 9, 45, 65, 33, 0, 75, 25, 9, 3, 83, 78, 9, 68, 63, 58, 53, 9, 35, 38, 33, 71, 23, 9, 93]

cp's OEIS Frontend

A254411 Limit of f(f(f(...f(0)...))) modulo n as the number of iterations of f(x) = 2^x+1 grows.

Table of values

List of values

n	a(n)
1	0
2	1
3	0
4	1
5	3
6	3
7	2
8	1
9	0
10	3
11	9
12	9
13	6
14	9
15	3
16	1
17	3
18	9
19	0
20	13
21	9
22	9
23	7
24	9
25	18
26	19
27	0
28	9
29	20
30	3
31	9
32	1
33	9
34	3
35	23
36	9
37	32
38	19
39	6
40	33
41	34
42	9
43	40
44	9
45	18
46	7
47	35
48	33
49	23
50	43
51	3
52	45
53	42
54	27
55	53
56	9
57	0
58	49
59	32
60	33
61	54
62	9
63	9
64	1
65	58
66	9
67	44
68	37
69	30
70	23
71	30
72	9
73	2
74	69
75	18
76	57
77	9
78	45
79	65
80	33
81	0
82	75
83	25
84	9
85	3
86	83
87	78
88	9
89	68
90	63
91	58
92	53
93	9
94	35
95	38
96	33
97	71
98	23
99	9
100	93

n	a(n)
1	0
2	1
3	0
4	1
5	3
6	3
7	2
8	1
9	0
10	3
11	9
12	9
13	6
14	9
15	3
16	1
17	3
18	9
19	0
20	13
21	9
22	9
23	7
24	9
25	18
26	19
27	0
28	9
29	20
30	3
31	9
32	1
33	9
34	3
35	23
36	9
37	32
38	19
39	6
40	33
41	34
42	9
43	40
44	9
45	18
46	7
47	35
48	33
49	23
50	43
51	3
52	45
53	42
54	27
55	53
56	9
57	0
58	49
59	32
60	33
61	54
62	9
63	9
64	1
65	58
66	9
67	44
68	37
69	30
70	23
71	30
72	9
73	2
74	69
75	18
76	57
77	9
78	45
79	65
80	33
81	0
82	75
83	25
84	9
85	3
86	83
87	78
88	9
89	68
90	63
91	58
92	53
93	9
94	35
95	38
96	33
97	71
98	23
99	9
100	93

n	a(n)
1	0
2	1
3	0
4	1
5	3
6	3
7	2
8	1
9	0
10	3
11	9
12	9
13	6
14	9
15	3
16	1
17	3
18	9
19	0
20	13
21	9
22	9
23	7
24	9
25	18
26	19
27	0
28	9
29	20
30	3
31	9
32	1
33	9
34	3
35	23
36	9
37	32
38	19
39	6
40	33
41	34
42	9
43	40
44	9
45	18
46	7
47	35
48	33
49	23
50	43
51	3
52	45
53	42
54	27
55	53
56	9
57	0
58	49
59	32
60	33
61	54
62	9
63	9
64	1
65	58
66	9
67	44
68	37
69	30
70	23
71	30
72	9
73	2
74	69
75	18
76	57
77	9
78	45
79	65
80	33
81	0
82	75
83	25
84	9
85	3
86	83
87	78
88	9
89	68
90	63
91	58
92	53
93	9
94	35
95	38
96	33
97	71
98	23
99	9
100	93