A348493 - cp's OEIS frontend

A348493 a(n) = A003415(n) / gcd(A003415(n), A018804(n)), where A003415 is the arithmetic derivative and A018804 is Pillai's arithmetical function.

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

[0, 1, 1, 1, 1, 1, 1, 3, 2, 7, 1, 2, 1, 3, 8, 2, 1, 1, 1, 1, 2, 13, 1, 11, 2, 1, 1, 4, 1, 31, 1, 5, 2, 19, 4, 5, 1, 7, 16, 17, 1, 41, 1, 2, 13, 5, 1, 7, 2, 3, 4, 7, 1, 1, 16, 23, 22, 31, 1, 23, 1, 11, 17, 3, 2, 61, 1, 3, 26, 59, 1, 13, 1, 13, 11, 10, 6, 71, 1, 11, 4, 43, 1, 31, 2, 3, 32, 1, 1, 41, 4, 4, 34, 49, 8]

cp's OEIS Frontend

A348493 a(n) = A003415(n) / gcd(A003415(n), A018804(n)), where A003415 is the arithmetic derivative and A018804 is Pillai's arithmetical function.

Table of values

List of values

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

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

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