A355505 - cp's OEIS frontend

A355505 a(n) is the number of distinct cycles when iterating the function f_n(x), where f_n(x) is the sum of the digits in base n of x^2.

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

[2, 5, 3, 4, 4, 7, 4, 3, 4, 6, 4, 7, 4, 8, 6, 3, 3, 7, 5, 7, 9, 7, 4, 6, 4, 7, 5, 9, 5, 12, 7, 3, 9, 5, 8, 9, 5, 10, 9, 6, 4, 16, 8, 9, 8, 7, 5, 7, 9, 7, 7, 8, 4, 9, 8, 8, 11, 9, 4, 14, 7, 13, 11, 3, 8, 16, 7, 6, 9, 16, 8, 8, 5, 9, 9, 11, 13, 17, 7, 6, 6, 7, 5, 17, 6, 15, 11, 9, 4]

cp's OEIS Frontend

A355505 a(n) is the number of distinct cycles when iterating the function f_n(x), where f_n(x) is the sum of the digits in base n of x^2.

Table of values

List of values

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

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

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