A096862 - cp's OEIS frontend

A096862 Function A062402(x)=sigma(phi(x)) is iterated. Starting with n, a(n) is the count of distinct terms arising during this trajectory; a(n)=t(n)+c(n)=t+c, where t is the number of transient terms, c is the number of recurrent terms [in the terminal cycle].

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

[1, 2, 1, 2, 3, 2, 2, 3, 3, 3, 4, 2, 2, 3, 1, 2, 4, 3, 5, 2, 2, 4, 3, 2, 3, 2, 5, 1, 5, 2, 3, 4, 3, 4, 4, 2, 4, 5, 4, 4, 5, 2, 6, 3, 4, 3, 4, 4, 6, 3, 5, 4, 7, 5, 5, 4, 4, 5, 5, 3, 3, 4, 4, 5, 3, 3, 4, 5, 5, 4, 4, 3, 3, 4, 5, 4, 3, 4, 3, 5, 6, 5, 5, 4, 5, 6, 6, 5, 4, 4, 3, 5, 3, 4, 3, 5, 3, 6, 3, 5, 8, 5, 4, 3, 3]

cp's OEIS Frontend

A096862 Function A062402(x)=sigma(phi(x)) is iterated. Starting with n, a(n) is the count of distinct terms arising during this trajectory; a(n)=t(n)+c(n)=t+c, where t is the number of transient terms, c is the number of recurrent terms [in the terminal cycle].

Table of values

List of values

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

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

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