A326823 - cp's OEIS frontend

A326823 a(n) is the number of iterations needed to reach 1 or 11 starting at n and using the map k -> (k/2 if k is even, otherwise k + (smallest square > k)). Set a(n) = -1 if the trajectory never reaches 1 or 11.

n	a(n)
1	0
2	1
3	6
4	2
5	7
6	7
7	5
8	3
9	17
10	8
11	0
12	8
13	21
14	6
15	21
16	4
17	15
18	18
19	3
20	9
21	13
22	1
23	11
24	9
25	16
26	22
27	16
28	7
29	20
30	22
31	20
32	5
33	10
34	16
35	8
36	19
37	16
38	4
39	4
40	10
41	16
42	14
43	14
44	2
45	14
46	12
47	12
48	10
49	31
50	17
51	38
52	23
53	29
54	17
55	27
56	8
57	34
58	21
59	34
60	23
61	15
62	21
63	15
64	6
65	19
66	11
67	19
68	17
69	9
70	9
71	7

[0, 1, 6, 2, 7, 7, 5, 3, 17, 8, 0, 8, 21, 6, 21, 4, 15, 18, 3, 9, 13, 1, 11, 9, 16, 22, 16, 7, 20, 22, 20, 5, 10, 16, 8, 19, 16, 4, 4, 10, 16, 14, 14, 2, 14, 12, 12, 10, 31, 17, 38, 23, 29, 17, 27, 8, 34, 21, 34, 23, 15, 21, 15, 6, 19, 11, 19, 17, 9, 9, 7]

cp's OEIS Frontend

A326823 a(n) is the number of iterations needed to reach 1 or 11 starting at n and using the map k -> (k/2 if k is even, otherwise k + (smallest square > k)). Set a(n) = -1 if the trajectory never reaches 1 or 11.

Table of values

List of values

n	a(n)
1	0
2	1
3	6
4	2
5	7
6	7
7	5
8	3
9	17
10	8
11	0
12	8
13	21
14	6
15	21
16	4
17	15
18	18
19	3
20	9
21	13
22	1
23	11
24	9
25	16
26	22
27	16
28	7
29	20
30	22
31	20
32	5
33	10
34	16
35	8
36	19
37	16
38	4
39	4
40	10
41	16
42	14
43	14
44	2
45	14
46	12
47	12
48	10
49	31
50	17
51	38
52	23
53	29
54	17
55	27
56	8
57	34
58	21
59	34
60	23
61	15
62	21
63	15
64	6
65	19
66	11
67	19
68	17
69	9
70	9
71	7

n	a(n)
1	0
2	1
3	6
4	2
5	7
6	7
7	5
8	3
9	17
10	8
11	0
12	8
13	21
14	6
15	21
16	4
17	15
18	18
19	3
20	9
21	13
22	1
23	11
24	9
25	16
26	22
27	16
28	7
29	20
30	22
31	20
32	5
33	10
34	16
35	8
36	19
37	16
38	4
39	4
40	10
41	16
42	14
43	14
44	2
45	14
46	12
47	12
48	10
49	31
50	17
51	38
52	23
53	29
54	17
55	27
56	8
57	34
58	21
59	34
60	23
61	15
62	21
63	15
64	6
65	19
66	11
67	19
68	17
69	9
70	9
71	7

n	a(n)
1	0
2	1
3	6
4	2
5	7
6	7
7	5
8	3
9	17
10	8
11	0
12	8
13	21
14	6
15	21
16	4
17	15
18	18
19	3
20	9
21	13
22	1
23	11
24	9
25	16
26	22
27	16
28	7
29	20
30	22
31	20
32	5
33	10
34	16
35	8
36	19
37	16
38	4
39	4
40	10
41	16
42	14
43	14
44	2
45	14
46	12
47	12
48	10
49	31
50	17
51	38
52	23
53	29
54	17
55	27
56	8
57	34
58	21
59	34
60	23
61	15
62	21
63	15
64	6
65	19
66	11
67	19
68	17
69	9
70	9
71	7