A096859 - cp's OEIS frontend

A096859 Function A062401(x) = phi(sigma(x)) = f(x) is iterated. Starting with n, a(n) is the count of distinct terms arising in trajectory; a(n)=t(n)+c(n)=t+c, where t=number of transient terms, c=number of recurrent terms (in the terminal cycle).

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

[1, 1, 2, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 3, 3, 4, 2, 2, 4, 2, 2, 3, 4, 2, 4, 4, 2, 3, 4, 4, 4, 5, 4, 3, 5, 4, 4, 4, 2, 5, 3, 4, 4, 4, 4, 2, 4, 3, 4, 6, 5, 5, 4, 5, 5, 4, 4, 2, 4, 5, 3, 4, 4, 3, 5, 4, 5, 3, 4, 2, 4, 4, 3, 3, 5, 3, 5, 3, 4, 4, 4, 3, 4, 5, 5, 3, 4, 3, 3, 3, 5, 3, 5, 2, 6, 4, 3, 7, 5, 3, 3, 3, 5]

cp's OEIS Frontend

A096859 Function A062401(x) = phi(sigma(x)) = f(x) is iterated. Starting with n, a(n) is the count of distinct terms arising in trajectory; a(n)=t(n)+c(n)=t+c, where t=number of transient terms, c=number of recurrent terms (in the terminal cycle).

Table of values

List of values

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

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

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