A343221 - cp's OEIS frontend

A343221 Number of iterations of x -> A003961(x) needed until A003415(x) < x, when starting from x=n, where A003415(x) gives the arithmetic derivative of x, and A003961 shifts its prime factorization one step towards the larger primes.

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	0
7	0
8	2
9	0
10	0
11	0
12	1
13	0
14	0
15	0
16	2
17	0
18	1
19	0
20	1
21	0
22	0
23	0
24	2
25	0
26	0
27	1
28	1
29	0
30	1
31	0
32	3
33	0
34	0
35	0
36	2
37	0
38	0
39	0
40	2
41	0
42	0
43	0
44	1
45	0
46	0
47	0
48	2
49	0
50	0
51	0
52	1
53	0
54	1
55	0
56	2
57	0
58	0
59	0
60	2
61	0
62	0
63	0
64	3
65	0
66	0
67	0
68	1
69	0
70	0
71	0
72	2
73	0
74	0
75	0
76	1
77	0
78	0
79	0
80	2
81	1
82	0
83	0
84	1
85	0
86	0
87	0
88	2
89	0
90	1
91	0
92	1
93	0
94	0
95	0
96	3
97	0
98	0
99	0
100	1
101	0
102	0
103	0
104	2
105	0

[0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 3, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 2, 0]

cp's OEIS Frontend

A343221 Number of iterations of x -> A003961(x) needed until A003415(x) < x, when starting from x=n, where A003415(x) gives the arithmetic derivative of x, and A003961 shifts its prime factorization one step towards the larger primes.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	0
7	0
8	2
9	0
10	0
11	0
12	1
13	0
14	0
15	0
16	2
17	0
18	1
19	0
20	1
21	0
22	0
23	0
24	2
25	0
26	0
27	1
28	1
29	0
30	1
31	0
32	3
33	0
34	0
35	0
36	2
37	0
38	0
39	0
40	2
41	0
42	0
43	0
44	1
45	0
46	0
47	0
48	2
49	0
50	0
51	0
52	1
53	0
54	1
55	0
56	2
57	0
58	0
59	0
60	2
61	0
62	0
63	0
64	3
65	0
66	0
67	0
68	1
69	0
70	0
71	0
72	2
73	0
74	0
75	0
76	1
77	0
78	0
79	0
80	2
81	1
82	0
83	0
84	1
85	0
86	0
87	0
88	2
89	0
90	1
91	0
92	1
93	0
94	0
95	0
96	3
97	0
98	0
99	0
100	1
101	0
102	0
103	0
104	2
105	0

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	0
7	0
8	2
9	0
10	0
11	0
12	1
13	0
14	0
15	0
16	2
17	0
18	1
19	0
20	1
21	0
22	0
23	0
24	2
25	0
26	0
27	1
28	1
29	0
30	1
31	0
32	3
33	0
34	0
35	0
36	2
37	0
38	0
39	0
40	2
41	0
42	0
43	0
44	1
45	0
46	0
47	0
48	2
49	0
50	0
51	0
52	1
53	0
54	1
55	0
56	2
57	0
58	0
59	0
60	2
61	0
62	0
63	0
64	3
65	0
66	0
67	0
68	1
69	0
70	0
71	0
72	2
73	0
74	0
75	0
76	1
77	0
78	0
79	0
80	2
81	1
82	0
83	0
84	1
85	0
86	0
87	0
88	2
89	0
90	1
91	0
92	1
93	0
94	0
95	0
96	3
97	0
98	0
99	0
100	1
101	0
102	0
103	0
104	2
105	0

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	0
7	0
8	2
9	0
10	0
11	0
12	1
13	0
14	0
15	0
16	2
17	0
18	1
19	0
20	1
21	0
22	0
23	0
24	2
25	0
26	0
27	1
28	1
29	0
30	1
31	0
32	3
33	0
34	0
35	0
36	2
37	0
38	0
39	0
40	2
41	0
42	0
43	0
44	1
45	0
46	0
47	0
48	2
49	0
50	0
51	0
52	1
53	0
54	1
55	0
56	2
57	0
58	0
59	0
60	2
61	0
62	0
63	0
64	3
65	0
66	0
67	0
68	1
69	0
70	0
71	0
72	2
73	0
74	0
75	0
76	1
77	0
78	0
79	0
80	2
81	1
82	0
83	0
84	1
85	0
86	0
87	0
88	2
89	0
90	1
91	0
92	1
93	0
94	0
95	0
96	3
97	0
98	0
99	0
100	1
101	0
102	0
103	0
104	2
105	0