A384327 - cp's OEIS frontend

A384327 Minimal Trips Around The Collatz Galaxy: a(n) is the minimal cycle length containing n. Each step in the cycle must be either to the next larger integer or follow a Collatz trajectory: k -> 3k+1 if k is odd or k -> k/2 if k is even.

n	a(n)
1	2
2	2
3	3
4	3
5	4
6	4
7	5
8	4
9	5
10	4
11	5
12	5
13	6
14	5
15	6
16	4
17	6
18	6
19	7
20	6
21	7
22	5
23	6
24	6
25	8
26	7
27	8
28	5
29	7
30	7
31	8
32	8
33	9
34	6
35	7
36	7
37	9
38	9
39	10
40	6
41	8
42	8
43	9
44	9
45	11
46	7
47	8
48	8
49	10
50	10
51	11
52	7
53	9
54	9
55	10
56	10
57	12
58	8
59	9
60	9
61	11
62	11
63	12
64	8
65	10
66	10
67	11
68	11
69	13
70	9
71	10
72	10
73	12
74	12
75	13
76	9
77	11
78	11
79	12

[2, 2, 3, 3, 4, 4, 5, 4, 5, 4, 5, 5, 6, 5, 6, 4, 6, 6, 7, 6, 7, 5, 6, 6, 8, 7, 8, 5, 7, 7, 8, 8, 9, 6, 7, 7, 9, 9, 10, 6, 8, 8, 9, 9, 11, 7, 8, 8, 10, 10, 11, 7, 9, 9, 10, 10, 12, 8, 9, 9, 11, 11, 12, 8, 10, 10, 11, 11, 13, 9, 10, 10, 12, 12, 13, 9, 11, 11, 12]

cp's OEIS Frontend

A384327 Minimal Trips Around The Collatz Galaxy: a(n) is the minimal cycle length containing n. Each step in the cycle must be either to the next larger integer or follow a Collatz trajectory: k -> 3k+1 if k is odd or k -> k/2 if k is even.

Table of values

List of values

n	a(n)
1	2
2	2
3	3
4	3
5	4
6	4
7	5
8	4
9	5
10	4
11	5
12	5
13	6
14	5
15	6
16	4
17	6
18	6
19	7
20	6
21	7
22	5
23	6
24	6
25	8
26	7
27	8
28	5
29	7
30	7
31	8
32	8
33	9
34	6
35	7
36	7
37	9
38	9
39	10
40	6
41	8
42	8
43	9
44	9
45	11
46	7
47	8
48	8
49	10
50	10
51	11
52	7
53	9
54	9
55	10
56	10
57	12
58	8
59	9
60	9
61	11
62	11
63	12
64	8
65	10
66	10
67	11
68	11
69	13
70	9
71	10
72	10
73	12
74	12
75	13
76	9
77	11
78	11
79	12

n	a(n)
1	2
2	2
3	3
4	3
5	4
6	4
7	5
8	4
9	5
10	4
11	5
12	5
13	6
14	5
15	6
16	4
17	6
18	6
19	7
20	6
21	7
22	5
23	6
24	6
25	8
26	7
27	8
28	5
29	7
30	7
31	8
32	8
33	9
34	6
35	7
36	7
37	9
38	9
39	10
40	6
41	8
42	8
43	9
44	9
45	11
46	7
47	8
48	8
49	10
50	10
51	11
52	7
53	9
54	9
55	10
56	10
57	12
58	8
59	9
60	9
61	11
62	11
63	12
64	8
65	10
66	10
67	11
68	11
69	13
70	9
71	10
72	10
73	12
74	12
75	13
76	9
77	11
78	11
79	12

n	a(n)
1	2
2	2
3	3
4	3
5	4
6	4
7	5
8	4
9	5
10	4
11	5
12	5
13	6
14	5
15	6
16	4
17	6
18	6
19	7
20	6
21	7
22	5
23	6
24	6
25	8
26	7
27	8
28	5
29	7
30	7
31	8
32	8
33	9
34	6
35	7
36	7
37	9
38	9
39	10
40	6
41	8
42	8
43	9
44	9
45	11
46	7
47	8
48	8
49	10
50	10
51	11
52	7
53	9
54	9
55	10
56	10
57	12
58	8
59	9
60	9
61	11
62	11
63	12
64	8
65	10
66	10
67	11
68	11
69	13
70	9
71	10
72	10
73	12
74	12
75	13
76	9
77	11
78	11
79	12