A342003 - cp's OEIS frontend

A342003 Maximal exponent in the prime factorization of the arithmetic derivative of n: a(n) = A051903(A003415(n)).

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

[0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 4, 0, 2, 3, 5, 0, 1, 0, 3, 1, 1, 0, 2, 1, 1, 3, 5, 0, 1, 0, 4, 1, 1, 2, 2, 0, 1, 4, 2, 0, 1, 0, 4, 1, 2, 0, 4, 1, 2, 2, 3, 0, 4, 4, 2, 1, 1, 0, 2, 0, 1, 1, 6, 2, 1, 0, 3, 1, 1, 0, 2, 0, 1, 1, 4, 2, 1, 0, 4, 3, 1, 0, 2, 1, 2, 5, 2, 0, 1, 2, 5, 1, 2, 3, 4, 0, 1, 2, 2, 0, 1, 0, 2, 1]

cp's OEIS Frontend

A342003 Maximal exponent in the prime factorization of the arithmetic derivative of n: a(n) = A051903(A003415(n)).

Table of values

List of values

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

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

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