A337357 - cp's OEIS frontend

A337357 "Choix de Collatz": a(n) is the least number of steps required to reach 1 starting from n under substring substitutions of the form k -> T(k) (where T is the Collatz map, A006370).

n	a(n)
1	0
2	1
3	7
4	2
5	5
6	8
7	9
8	3
9	11
10	6
11	7
12	8
13	9
14	9
15	7
16	4
17	7
18	10
19	8
20	7
21	7
22	8
23	10
24	9
25	8
26	5
27	7
28	10
29	8
30	8
31	7
32	5
33	11
34	6
35	9
36	11
37	6
38	7
39	8
40	8
41	7
42	8
43	11
44	9
45	9
46	6
47	8
48	10
49	8
50	9
51	8
52	6
53	11
54	7
55	9
56	9
57	9
58	8
59	11
60	9
61	7
62	6
63	11
64	6
65	9
66	12
67	7
68	7
69	9
70	10
71	8
72	7
73	10
74	7
75	10
76	8
77	10
78	8
79	10
80	9
81	8

[0, 1, 7, 2, 5, 8, 9, 3, 11, 6, 7, 8, 9, 9, 7, 4, 7, 10, 8, 7, 7, 8, 10, 9, 8, 5, 7, 10, 8, 8, 7, 5, 11, 6, 9, 11, 6, 7, 8, 8, 7, 8, 11, 9, 9, 6, 8, 10, 8, 9, 8, 6, 11, 7, 9, 9, 9, 8, 11, 9, 7, 6, 11, 6, 9, 12, 7, 7, 9, 10, 8, 7, 10, 7, 10, 8, 10, 8, 10, 9, 8]

cp's OEIS Frontend

A337357 "Choix de Collatz": a(n) is the least number of steps required to reach 1 starting from n under substring substitutions of the form k -> T(k) (where T is the Collatz map, A006370).

Table of values

List of values

n	a(n)
1	0
2	1
3	7
4	2
5	5
6	8
7	9
8	3
9	11
10	6
11	7
12	8
13	9
14	9
15	7
16	4
17	7
18	10
19	8
20	7
21	7
22	8
23	10
24	9
25	8
26	5
27	7
28	10
29	8
30	8
31	7
32	5
33	11
34	6
35	9
36	11
37	6
38	7
39	8
40	8
41	7
42	8
43	11
44	9
45	9
46	6
47	8
48	10
49	8
50	9
51	8
52	6
53	11
54	7
55	9
56	9
57	9
58	8
59	11
60	9
61	7
62	6
63	11
64	6
65	9
66	12
67	7
68	7
69	9
70	10
71	8
72	7
73	10
74	7
75	10
76	8
77	10
78	8
79	10
80	9
81	8

n	a(n)
1	0
2	1
3	7
4	2
5	5
6	8
7	9
8	3
9	11
10	6
11	7
12	8
13	9
14	9
15	7
16	4
17	7
18	10
19	8
20	7
21	7
22	8
23	10
24	9
25	8
26	5
27	7
28	10
29	8
30	8
31	7
32	5
33	11
34	6
35	9
36	11
37	6
38	7
39	8
40	8
41	7
42	8
43	11
44	9
45	9
46	6
47	8
48	10
49	8
50	9
51	8
52	6
53	11
54	7
55	9
56	9
57	9
58	8
59	11
60	9
61	7
62	6
63	11
64	6
65	9
66	12
67	7
68	7
69	9
70	10
71	8
72	7
73	10
74	7
75	10
76	8
77	10
78	8
79	10
80	9
81	8

n	a(n)
1	0
2	1
3	7
4	2
5	5
6	8
7	9
8	3
9	11
10	6
11	7
12	8
13	9
14	9
15	7
16	4
17	7
18	10
19	8
20	7
21	7
22	8
23	10
24	9
25	8
26	5
27	7
28	10
29	8
30	8
31	7
32	5
33	11
34	6
35	9
36	11
37	6
38	7
39	8
40	8
41	7
42	8
43	11
44	9
45	9
46	6
47	8
48	10
49	8
50	9
51	8
52	6
53	11
54	7
55	9
56	9
57	9
58	8
59	11
60	9
61	7
62	6
63	11
64	6
65	9
66	12
67	7
68	7
69	9
70	10
71	8
72	7
73	10
74	7
75	10
76	8
77	10
78	8
79	10
80	9
81	8