A160266 - cp's OEIS frontend

A160266 Let f and its k-fold iteration f^k be defined as in A159885. a(n) is the least k for which A006694( (f^k(2n+1)-1)/2 ) < A006694(n).

n	a(n)
1	2
2	1
3	1
4	2
5	4
6	2
7	1
8	1
9	6
10	1
11	2
12	1
13	1
14	5
15	1
16	1
17	1
18	6
19	1
20	4
21	3
22	1
23	2
24	1
25	1
26	2
27	1
28	1
29	10
30	5
31	1
32	1
33	8
34	1
35	1
36	1
37	1
38	1
39	2
40	1
41	40
42	1
43	1
44	1
45	1
46	1
47	6
48	3
49	1
50	7
51	17
52	1
53	36
54	1
55	1
56	2
57	1
58	1
59	1
60	20
61	1
62	1
63	1
64	1
65	8
66	1
67	1
68	18
69	13
70	1
71	5
72	1
73	2
74	6
75	1
76	1
77	1
78	1
79	1
80	1
81	6
82	1
83	9
84	11
85	2
86	9
87	1
88	2
89	9
90	4
91	6
92	1
93	1
94	1
95	9
96	7
97	1
98	7
99	29
100	2
101	2
102	1

[2, 1, 1, 2, 4, 2, 1, 1, 6, 1, 2, 1, 1, 5, 1, 1, 1, 6, 1, 4, 3, 1, 2, 1, 1, 2, 1, 1, 10, 5, 1, 1, 8, 1, 1, 1, 1, 1, 2, 1, 40, 1, 1, 1, 1, 1, 6, 3, 1, 7, 17, 1, 36, 1, 1, 2, 1, 1, 1, 20, 1, 1, 1, 1, 8, 1, 1, 18, 13, 1, 5, 1, 2, 6, 1, 1, 1, 1, 1, 1, 6, 1, 9, 11, 2, 9, 1, 2, 9, 4, 6, 1, 1, 1, 9, 7, 1, 7, 29, 2, 2, 1]

cp's OEIS Frontend

A160266 Let f and its k-fold iteration f^k be defined as in A159885. a(n) is the least k for which A006694( (f^k(2n+1)-1)/2 ) < A006694(n).

Table of values

List of values

n	a(n)
1	2
2	1
3	1
4	2
5	4
6	2
7	1
8	1
9	6
10	1
11	2
12	1
13	1
14	5
15	1
16	1
17	1
18	6
19	1
20	4
21	3
22	1
23	2
24	1
25	1
26	2
27	1
28	1
29	10
30	5
31	1
32	1
33	8
34	1
35	1
36	1
37	1
38	1
39	2
40	1
41	40
42	1
43	1
44	1
45	1
46	1
47	6
48	3
49	1
50	7
51	17
52	1
53	36
54	1
55	1
56	2
57	1
58	1
59	1
60	20
61	1
62	1
63	1
64	1
65	8
66	1
67	1
68	18
69	13
70	1
71	5
72	1
73	2
74	6
75	1
76	1
77	1
78	1
79	1
80	1
81	6
82	1
83	9
84	11
85	2
86	9
87	1
88	2
89	9
90	4
91	6
92	1
93	1
94	1
95	9
96	7
97	1
98	7
99	29
100	2
101	2
102	1

n	a(n)
1	2
2	1
3	1
4	2
5	4
6	2
7	1
8	1
9	6
10	1
11	2
12	1
13	1
14	5
15	1
16	1
17	1
18	6
19	1
20	4
21	3
22	1
23	2
24	1
25	1
26	2
27	1
28	1
29	10
30	5
31	1
32	1
33	8
34	1
35	1
36	1
37	1
38	1
39	2
40	1
41	40
42	1
43	1
44	1
45	1
46	1
47	6
48	3
49	1
50	7
51	17
52	1
53	36
54	1
55	1
56	2
57	1
58	1
59	1
60	20
61	1
62	1
63	1
64	1
65	8
66	1
67	1
68	18
69	13
70	1
71	5
72	1
73	2
74	6
75	1
76	1
77	1
78	1
79	1
80	1
81	6
82	1
83	9
84	11
85	2
86	9
87	1
88	2
89	9
90	4
91	6
92	1
93	1
94	1
95	9
96	7
97	1
98	7
99	29
100	2
101	2
102	1

n	a(n)
1	2
2	1
3	1
4	2
5	4
6	2
7	1
8	1
9	6
10	1
11	2
12	1
13	1
14	5
15	1
16	1
17	1
18	6
19	1
20	4
21	3
22	1
23	2
24	1
25	1
26	2
27	1
28	1
29	10
30	5
31	1
32	1
33	8
34	1
35	1
36	1
37	1
38	1
39	2
40	1
41	40
42	1
43	1
44	1
45	1
46	1
47	6
48	3
49	1
50	7
51	17
52	1
53	36
54	1
55	1
56	2
57	1
58	1
59	1
60	20
61	1
62	1
63	1
64	1
65	8
66	1
67	1
68	18
69	13
70	1
71	5
72	1
73	2
74	6
75	1
76	1
77	1
78	1
79	1
80	1
81	6
82	1
83	9
84	11
85	2
86	9
87	1
88	2
89	9
90	4
91	6
92	1
93	1
94	1
95	9
96	7
97	1
98	7
99	29
100	2
101	2
102	1