A003415 - cp's OEIS frontend

A003415 a(n) = n' = arithmetic derivative of n: a(0) = a(1) = 0, a(prime) = 1, a(mn) = ma(n) + n*a(m).

n	a(n)
0	0
1	0
2	1
3	1
4	4
5	1
6	5
7	1
8	12
9	6
10	7
11	1
12	16
13	1
14	9
15	8
16	32
17	1
18	21
19	1
20	24
21	10
22	13
23	1
24	44
25	10
26	15
27	27
28	32
29	1
30	31
31	1
32	80
33	14
34	19
35	12
36	60
37	1
38	21
39	16
40	68
41	1
42	41
43	1
44	48
45	39
46	25
47	1
48	112
49	14
50	45
51	20
52	56
53	1
54	81
55	16
56	92
57	22
58	31
59	1
60	92
61	1
62	33
63	51
64	192
65	18
66	61
67	1
68	72
69	26
70	59
71	1
72	156
73	1
74	39
75	55
76	80
77	18
78	71

[0, 0, 1, 1, 4, 1, 5, 1, 12, 6, 7, 1, 16, 1, 9, 8, 32, 1, 21, 1, 24, 10, 13, 1, 44, 10, 15, 27, 32, 1, 31, 1, 80, 14, 19, 12, 60, 1, 21, 16, 68, 1, 41, 1, 48, 39, 25, 1, 112, 14, 45, 20, 56, 1, 81, 16, 92, 22, 31, 1, 92, 1, 33, 51, 192, 18, 61, 1, 72, 26, 59, 1, 156, 1, 39, 55, 80, 18, 71]

cp's OEIS Frontend

A003415 a(n) = n' = arithmetic derivative of n: a(0) = a(1) = 0, a(prime) = 1, a(mn) = ma(n) + n*a(m).

Table of values

List of values

n	a(n)
0	0
1	0
2	1
3	1
4	4
5	1
6	5
7	1
8	12
9	6
10	7
11	1
12	16
13	1
14	9
15	8
16	32
17	1
18	21
19	1
20	24
21	10
22	13
23	1
24	44
25	10
26	15
27	27
28	32
29	1
30	31
31	1
32	80
33	14
34	19
35	12
36	60
37	1
38	21
39	16
40	68
41	1
42	41
43	1
44	48
45	39
46	25
47	1
48	112
49	14
50	45
51	20
52	56
53	1
54	81
55	16
56	92
57	22
58	31
59	1
60	92
61	1
62	33
63	51
64	192
65	18
66	61
67	1
68	72
69	26
70	59
71	1
72	156
73	1
74	39
75	55
76	80
77	18
78	71

n	a(n)
0	0
1	0
2	1
3	1
4	4
5	1
6	5
7	1
8	12
9	6
10	7
11	1
12	16
13	1
14	9
15	8
16	32
17	1
18	21
19	1
20	24
21	10
22	13
23	1
24	44
25	10
26	15
27	27
28	32
29	1
30	31
31	1
32	80
33	14
34	19
35	12
36	60
37	1
38	21
39	16
40	68
41	1
42	41
43	1
44	48
45	39
46	25
47	1
48	112
49	14
50	45
51	20
52	56
53	1
54	81
55	16
56	92
57	22
58	31
59	1
60	92
61	1
62	33
63	51
64	192
65	18
66	61
67	1
68	72
69	26
70	59
71	1
72	156
73	1
74	39
75	55
76	80
77	18
78	71

cp's OEIS Frontend

A003415 a(n) = n' = arithmetic derivative of n: a(0) = a(1) = 0, a(prime) = 1, a(m*n) = m*a(n) + n*a(m).

Table of values

List of values

A003415 a(n) = n' = arithmetic derivative of n: a(0) = a(1) = 0, a(prime) = 1, a(mn) = ma(n) + n*a(m).

n	a(n)
0	0
1	0
2	1
3	1
4	4
5	1
6	5
7	1
8	12
9	6
10	7
11	1
12	16
13	1
14	9
15	8
16	32
17	1
18	21
19	1
20	24
21	10
22	13
23	1
24	44
25	10
26	15
27	27
28	32
29	1
30	31
31	1
32	80
33	14
34	19
35	12
36	60
37	1
38	21
39	16
40	68
41	1
42	41
43	1
44	48
45	39
46	25
47	1
48	112
49	14
50	45
51	20
52	56
53	1
54	81
55	16
56	92
57	22
58	31
59	1
60	92
61	1
62	33
63	51
64	192
65	18
66	61
67	1
68	72
69	26
70	59
71	1
72	156
73	1
74	39
75	55
76	80
77	18
78	71