A342414 - cp's OEIS frontend

A342414 a(n) = A003415(n) / gcd(phi(n),A003415(n)), where A003415(n) is the arithmetic derivative of n, and phi is Euler totient function.

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

[0, 1, 1, 2, 1, 5, 1, 3, 1, 7, 1, 4, 1, 3, 1, 4, 1, 7, 1, 3, 5, 13, 1, 11, 1, 5, 3, 8, 1, 31, 1, 5, 7, 19, 1, 5, 1, 7, 2, 17, 1, 41, 1, 12, 13, 25, 1, 7, 1, 9, 5, 7, 1, 9, 2, 23, 11, 31, 1, 23, 1, 11, 17, 6, 3, 61, 1, 9, 13, 59, 1, 13, 1, 13, 11, 20, 3, 71, 1, 11, 2, 43, 1, 31, 11, 15, 4, 7, 1, 41, 5, 24, 17, 49, 1, 17]

cp's OEIS Frontend

A342414 a(n) = A003415(n) / gcd(phi(n),A003415(n)), where A003415(n) is the arithmetic derivative of n, and phi is Euler totient function.

Table of values

List of values

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

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

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