A342718 - cp's OEIS frontend

A342718 a(1) = 0; for n >= 2, a(n) is the number of iterations needed for the map x -> A000203(x)/A000005(x) to reach a number that is not an integer, when starting from x = n.

n	a(n)
1	0
2	1
3	2
4	1
5	3
6	3
7	2
8	1
9	1
10	1
11	4
12	1
13	3
14	4
15	4
16	1
17	2
18	1
19	2
20	3
21	2
22	2
23	2
24	1
25	1
26	1
27	2
28	1
29	5
30	2
31	2
32	1
33	2
34	1
35	2
36	1
37	3
38	5
39	5
40	1
41	3
42	2
43	3
44	5
45	4
46	2
47	2
48	1
49	3
50	1
51	2
52	1
53	3
54	5
55	2
56	5
57	4
58	1
59	3
60	5
61	3
62	2
63	1
64	1
65	3
66	2
67	2
68	3
69	2
70	2
71	2
72	1
73	4
74	1
75	1
76	1
77	2
78	3
79	2
80	1
81	1
82	1

[0, 1, 2, 1, 3, 3, 2, 1, 1, 1, 4, 1, 3, 4, 4, 1, 2, 1, 2, 3, 2, 2, 2, 1, 1, 1, 2, 1, 5, 2, 2, 1, 2, 1, 2, 1, 3, 5, 5, 1, 3, 2, 3, 5, 4, 2, 2, 1, 3, 1, 2, 1, 3, 5, 2, 5, 4, 1, 3, 5, 3, 2, 1, 1, 3, 2, 2, 3, 2, 2, 2, 1, 4, 1, 1, 1, 2, 3, 2, 1, 1, 1]

cp's OEIS Frontend

A342718 a(1) = 0; for n >= 2, a(n) is the number of iterations needed for the map x -> A000203(x)/A000005(x) to reach a number that is not an integer, when starting from x = n.

Table of values

List of values

n	a(n)
1	0
2	1
3	2
4	1
5	3
6	3
7	2
8	1
9	1
10	1
11	4
12	1
13	3
14	4
15	4
16	1
17	2
18	1
19	2
20	3
21	2
22	2
23	2
24	1
25	1
26	1
27	2
28	1
29	5
30	2
31	2
32	1
33	2
34	1
35	2
36	1
37	3
38	5
39	5
40	1
41	3
42	2
43	3
44	5
45	4
46	2
47	2
48	1
49	3
50	1
51	2
52	1
53	3
54	5
55	2
56	5
57	4
58	1
59	3
60	5
61	3
62	2
63	1
64	1
65	3
66	2
67	2
68	3
69	2
70	2
71	2
72	1
73	4
74	1
75	1
76	1
77	2
78	3
79	2
80	1
81	1
82	1

n	a(n)
1	0
2	1
3	2
4	1
5	3
6	3
7	2
8	1
9	1
10	1
11	4
12	1
13	3
14	4
15	4
16	1
17	2
18	1
19	2
20	3
21	2
22	2
23	2
24	1
25	1
26	1
27	2
28	1
29	5
30	2
31	2
32	1
33	2
34	1
35	2
36	1
37	3
38	5
39	5
40	1
41	3
42	2
43	3
44	5
45	4
46	2
47	2
48	1
49	3
50	1
51	2
52	1
53	3
54	5
55	2
56	5
57	4
58	1
59	3
60	5
61	3
62	2
63	1
64	1
65	3
66	2
67	2
68	3
69	2
70	2
71	2
72	1
73	4
74	1
75	1
76	1
77	2
78	3
79	2
80	1
81	1
82	1

n	a(n)
1	0
2	1
3	2
4	1
5	3
6	3
7	2
8	1
9	1
10	1
11	4
12	1
13	3
14	4
15	4
16	1
17	2
18	1
19	2
20	3
21	2
22	2
23	2
24	1
25	1
26	1
27	2
28	1
29	5
30	2
31	2
32	1
33	2
34	1
35	2
36	1
37	3
38	5
39	5
40	1
41	3
42	2
43	3
44	5
45	4
46	2
47	2
48	1
49	3
50	1
51	2
52	1
53	3
54	5
55	2
56	5
57	4
58	1
59	3
60	5
61	3
62	2
63	1
64	1
65	3
66	2
67	2
68	3
69	2
70	2
71	2
72	1
73	4
74	1
75	1
76	1
77	2
78	3
79	2
80	1
81	1
82	1