A159885 - cp's OEIS frontend

A159885 For n >= 1, let f(2n+1) = (3n+2)/A006519(3n+2) and let f^k be the k-th iteration of f. Then a(n) is the least k such that A000120(f^k(2n+1)) <= A000120(n).

n	a(n)
1	2
2	1
3	2
4	6
5	1
6	1
7	2
8	3
9	3
10	1
11	1
12	4
13	1
14	1
15	2
16	8
17	2
18	3
19	3
20	39
21	1
22	1
23	1
24	4
25	3
26	1
27	1
28	2
29	1
30	1
31	2
32	8
33	5
34	2
35	2
36	41
37	3
38	2
39	3
40	5
41	5
42	1
43	1
44	1
45	1
46	1
47	1
48	42
49	2
50	1
51	4
52	6
53	1
54	1
55	1
56	2
57	2
58	1
59	1
60	2
61	1
62	1
63	2
64	44
65	5
66	5
67	5
68	31
69	5
70	2
71	2
72	41
73	7
74	1
75	3
76	3
77	3
78	2
79	3
80	34
81	3
82	5
83	13
84	12
85	1
86	1
87	1
88	1
89	1
90	1
91	1
92	1
93	1
94	1
95	1
96	42
97	8
98	1
99	2
100	4
101	1

[2, 1, 2, 6, 1, 1, 2, 3, 3, 1, 1, 4, 1, 1, 2, 8, 2, 3, 3, 39, 1, 1, 1, 4, 3, 1, 1, 2, 1, 1, 2, 8, 5, 2, 2, 41, 3, 2, 3, 5, 5, 1, 1, 1, 1, 1, 1, 42, 2, 1, 4, 6, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 44, 5, 5, 5, 31, 5, 2, 2, 41, 7, 1, 3, 3, 3, 2, 3, 34, 3, 5, 13, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 42, 8, 1, 2, 4, 1]

cp's OEIS Frontend

A159885 For n >= 1, let f(2n+1) = (3n+2)/A006519(3n+2) and let f^k be the k-th iteration of f. Then a(n) is the least k such that A000120(f^k(2n+1)) <= A000120(n).

Table of values

List of values

n	a(n)
1	2
2	1
3	2
4	6
5	1
6	1
7	2
8	3
9	3
10	1
11	1
12	4
13	1
14	1
15	2
16	8
17	2
18	3
19	3
20	39
21	1
22	1
23	1
24	4
25	3
26	1
27	1
28	2
29	1
30	1
31	2
32	8
33	5
34	2
35	2
36	41
37	3
38	2
39	3
40	5
41	5
42	1
43	1
44	1
45	1
46	1
47	1
48	42
49	2
50	1
51	4
52	6
53	1
54	1
55	1
56	2
57	2
58	1
59	1
60	2
61	1
62	1
63	2
64	44
65	5
66	5
67	5
68	31
69	5
70	2
71	2
72	41
73	7
74	1
75	3
76	3
77	3
78	2
79	3
80	34
81	3
82	5
83	13
84	12
85	1
86	1
87	1
88	1
89	1
90	1
91	1
92	1
93	1
94	1
95	1
96	42
97	8
98	1
99	2
100	4
101	1

n	a(n)
1	2
2	1
3	2
4	6
5	1
6	1
7	2
8	3
9	3
10	1
11	1
12	4
13	1
14	1
15	2
16	8
17	2
18	3
19	3
20	39
21	1
22	1
23	1
24	4
25	3
26	1
27	1
28	2
29	1
30	1
31	2
32	8
33	5
34	2
35	2
36	41
37	3
38	2
39	3
40	5
41	5
42	1
43	1
44	1
45	1
46	1
47	1
48	42
49	2
50	1
51	4
52	6
53	1
54	1
55	1
56	2
57	2
58	1
59	1
60	2
61	1
62	1
63	2
64	44
65	5
66	5
67	5
68	31
69	5
70	2
71	2
72	41
73	7
74	1
75	3
76	3
77	3
78	2
79	3
80	34
81	3
82	5
83	13
84	12
85	1
86	1
87	1
88	1
89	1
90	1
91	1
92	1
93	1
94	1
95	1
96	42
97	8
98	1
99	2
100	4
101	1

n	a(n)
1	2
2	1
3	2
4	6
5	1
6	1
7	2
8	3
9	3
10	1
11	1
12	4
13	1
14	1
15	2
16	8
17	2
18	3
19	3
20	39
21	1
22	1
23	1
24	4
25	3
26	1
27	1
28	2
29	1
30	1
31	2
32	8
33	5
34	2
35	2
36	41
37	3
38	2
39	3
40	5
41	5
42	1
43	1
44	1
45	1
46	1
47	1
48	42
49	2
50	1
51	4
52	6
53	1
54	1
55	1
56	2
57	2
58	1
59	1
60	2
61	1
62	1
63	2
64	44
65	5
66	5
67	5
68	31
69	5
70	2
71	2
72	41
73	7
74	1
75	3
76	3
77	3
78	2
79	3
80	34
81	3
82	5
83	13
84	12
85	1
86	1
87	1
88	1
89	1
90	1
91	1
92	1
93	1
94	1
95	1
96	42
97	8
98	1
99	2
100	4
101	1