A083345 - cp's OEIS frontend

A083345 Numerator of r(n) = Sum(e/p: n=Product(p^e)); a(n) = n' / gcd(n,n'), where n' is the arithmetic derivative of n.

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

[0, 1, 1, 1, 1, 5, 1, 3, 2, 7, 1, 4, 1, 9, 8, 2, 1, 7, 1, 6, 10, 13, 1, 11, 2, 15, 1, 8, 1, 31, 1, 5, 14, 19, 12, 5, 1, 21, 16, 17, 1, 41, 1, 12, 13, 25, 1, 7, 2, 9, 20, 14, 1, 3, 16, 23, 22, 31, 1, 23, 1, 33, 17, 3, 18, 61, 1, 18, 26, 59, 1, 13, 1, 39, 11, 20, 18, 71, 1, 11, 4, 43, 1, 31, 22]

cp's OEIS Frontend

A083345 Numerator of r(n) = Sum(e/p: n=Product(p^e)); a(n) = n' / gcd(n,n'), where n' is the arithmetic derivative of n.

Table of values

List of values

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

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

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