A334144 - cp's OEIS frontend

A334144 Consider the mapping k -> (k - (k/p)), where prime p | k. a(n) = maximum distinct terms at any position j among the various paths to 1.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	2
10	2
11	2
12	2
13	2
14	2
15	3
16	1
17	1
18	2
19	2
20	2
21	3
22	2
23	2
24	2
25	2
26	2
27	2
28	3
29	3
30	3
31	3
32	1
33	4
34	2
35	4
36	3
37	3
38	3
39	3
40	2
41	2
42	4
43	4
44	3
45	4
46	3
47	3
48	2
49	4
50	2
51	3
52	3
53	3
54	3
55	3
56	3
57	3
58	3
59	3
60	4
61	4
62	4
63	4
64	1
65	5
66	5
67	5
68	2
69	5
70	5
71	5
72	3
73	3
74	3
75	4
76	3
77	6
78	4
79	4
80	2
81	3
82	2
83	2
84	4
85	3
86	4
87	4
88	3
89	3
90	5
91	5
92	3
93	5
94	3
95	5
96	2
97	2
98	4
99	6
100	3
101	3
102	3
103	3
104	3
105	6
106	3

[1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 4, 2, 4, 3, 3, 3, 3, 2, 2, 4, 4, 3, 4, 3, 3, 2, 4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 1, 5, 5, 5, 2, 5, 5, 5, 3, 3, 3, 4, 3, 6, 4, 4, 2, 3, 2, 2, 4, 3, 4, 4, 3, 3, 5, 5, 3, 5, 3, 5, 2, 2, 4, 6, 3, 3, 3, 3, 3, 6, 3]

cp's OEIS Frontend

A334144 Consider the mapping k -> (k - (k/p)), where prime p | k. a(n) = maximum distinct terms at any position j among the various paths to 1.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	2
10	2
11	2
12	2
13	2
14	2
15	3
16	1
17	1
18	2
19	2
20	2
21	3
22	2
23	2
24	2
25	2
26	2
27	2
28	3
29	3
30	3
31	3
32	1
33	4
34	2
35	4
36	3
37	3
38	3
39	3
40	2
41	2
42	4
43	4
44	3
45	4
46	3
47	3
48	2
49	4
50	2
51	3
52	3
53	3
54	3
55	3
56	3
57	3
58	3
59	3
60	4
61	4
62	4
63	4
64	1
65	5
66	5
67	5
68	2
69	5
70	5
71	5
72	3
73	3
74	3
75	4
76	3
77	6
78	4
79	4
80	2
81	3
82	2
83	2
84	4
85	3
86	4
87	4
88	3
89	3
90	5
91	5
92	3
93	5
94	3
95	5
96	2
97	2
98	4
99	6
100	3
101	3
102	3
103	3
104	3
105	6
106	3

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	2
10	2
11	2
12	2
13	2
14	2
15	3
16	1
17	1
18	2
19	2
20	2
21	3
22	2
23	2
24	2
25	2
26	2
27	2
28	3
29	3
30	3
31	3
32	1
33	4
34	2
35	4
36	3
37	3
38	3
39	3
40	2
41	2
42	4
43	4
44	3
45	4
46	3
47	3
48	2
49	4
50	2
51	3
52	3
53	3
54	3
55	3
56	3
57	3
58	3
59	3
60	4
61	4
62	4
63	4
64	1
65	5
66	5
67	5
68	2
69	5
70	5
71	5
72	3
73	3
74	3
75	4
76	3
77	6
78	4
79	4
80	2
81	3
82	2
83	2
84	4
85	3
86	4
87	4
88	3
89	3
90	5
91	5
92	3
93	5
94	3
95	5
96	2
97	2
98	4
99	6
100	3
101	3
102	3
103	3
104	3
105	6
106	3

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	2
10	2
11	2
12	2
13	2
14	2
15	3
16	1
17	1
18	2
19	2
20	2
21	3
22	2
23	2
24	2
25	2
26	2
27	2
28	3
29	3
30	3
31	3
32	1
33	4
34	2
35	4
36	3
37	3
38	3
39	3
40	2
41	2
42	4
43	4
44	3
45	4
46	3
47	3
48	2
49	4
50	2
51	3
52	3
53	3
54	3
55	3
56	3
57	3
58	3
59	3
60	4
61	4
62	4
63	4
64	1
65	5
66	5
67	5
68	2
69	5
70	5
71	5
72	3
73	3
74	3
75	4
76	3
77	6
78	4
79	4
80	2
81	3
82	2
83	2
84	4
85	3
86	4
87	4
88	3
89	3
90	5
91	5
92	3
93	5
94	3
95	5
96	2
97	2
98	4
99	6
100	3
101	3
102	3
103	3
104	3
105	6
106	3