A308431 - cp's OEIS frontend

A308431 For any Gaussian integer z, let f(z) = z / (1+i) when z is a multiple of 1+i and f(z) = z+1 otherwise (where i denotes the imaginary unit). a(n) gives the number of iterations of the map f, starting with n, needed to reach a cycle.

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

[0, 2, 1, 6, 5, 9, 8, 11, 10, 10, 9, 12, 11, 14, 13, 11, 10, 15, 14, 12, 11, 14, 13, 18, 17, 15, 14, 19, 18, 21, 20, 10, 9, 22, 21, 11, 10, 13, 12, 17, 16, 14, 13, 18, 17, 20, 19, 15, 14, 21, 20, 16, 15, 18, 17, 21, 20, 19, 18, 22, 21, 24, 23, 14, 13, 25, 24]

cp's OEIS Frontend

A308431 For any Gaussian integer z, let f(z) = z / (1+i) when z is a multiple of 1+i and f(z) = z+1 otherwise (where i denotes the imaginary unit). a(n) gives the number of iterations of the map f, starting with n, needed to reach a cycle.

Table of values

List of values

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

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

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