A165123 - cp's OEIS frontend

A165123 Number of cycles of n-digit numbers (including fixed points) under the base-9 Kaprekar map A165110.

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	1
7	1
8	2
9	2
10	3
11	2
12	3
13	3
14	3
15	4
16	2
17	4
18	4
19	5
20	4
21	6
22	5
23	9
24	4
25	15
26	4
27	15
28	5
29	18
30	5
31	19
32	7
33	23
34	5
35	30
36	6
37	32
38	8
39	32
40	8
41	34
42	11
43	34
44	11
45	39
46	12
47	42
48	14
49	43
50	15
51	44
52	17
53	50
54	19
55	54
56	22
57	57
58	22
59	63
60	21
61	64
62	23
63	68
64	29
65	95
66	26
67	127
68	34
69	130
70	34

[1, 1, 1, 2, 2, 1, 1, 2, 2, 3, 2, 3, 3, 3, 4, 2, 4, 4, 5, 4, 6, 5, 9, 4, 15, 4, 15, 5, 18, 5, 19, 7, 23, 5, 30, 6, 32, 8, 32, 8, 34, 11, 34, 11, 39, 12, 42, 14, 43, 15, 44, 17, 50, 19, 54, 22, 57, 22, 63, 21, 64, 23, 68, 29, 95, 26, 127, 34, 130, 34]

cp's OEIS Frontend

A165123 Number of cycles of n-digit numbers (including fixed points) under the base-9 Kaprekar map A165110.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	1
7	1
8	2
9	2
10	3
11	2
12	3
13	3
14	3
15	4
16	2
17	4
18	4
19	5
20	4
21	6
22	5
23	9
24	4
25	15
26	4
27	15
28	5
29	18
30	5
31	19
32	7
33	23
34	5
35	30
36	6
37	32
38	8
39	32
40	8
41	34
42	11
43	34
44	11
45	39
46	12
47	42
48	14
49	43
50	15
51	44
52	17
53	50
54	19
55	54
56	22
57	57
58	22
59	63
60	21
61	64
62	23
63	68
64	29
65	95
66	26
67	127
68	34
69	130
70	34

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	1
7	1
8	2
9	2
10	3
11	2
12	3
13	3
14	3
15	4
16	2
17	4
18	4
19	5
20	4
21	6
22	5
23	9
24	4
25	15
26	4
27	15
28	5
29	18
30	5
31	19
32	7
33	23
34	5
35	30
36	6
37	32
38	8
39	32
40	8
41	34
42	11
43	34
44	11
45	39
46	12
47	42
48	14
49	43
50	15
51	44
52	17
53	50
54	19
55	54
56	22
57	57
58	22
59	63
60	21
61	64
62	23
63	68
64	29
65	95
66	26
67	127
68	34
69	130
70	34

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	1
7	1
8	2
9	2
10	3
11	2
12	3
13	3
14	3
15	4
16	2
17	4
18	4
19	5
20	4
21	6
22	5
23	9
24	4
25	15
26	4
27	15
28	5
29	18
30	5
31	19
32	7
33	23
34	5
35	30
36	6
37	32
38	8
39	32
40	8
41	34
42	11
43	34
44	11
45	39
46	12
47	42
48	14
49	43
50	15
51	44
52	17
53	50
54	19
55	54
56	22
57	57
58	22
59	63
60	21
61	64
62	23
63	68
64	29
65	95
66	26
67	127
68	34
69	130
70	34