A348495 - cp's OEIS frontend

A348495 a(n) = gcd(A018804(n), A347130(n)), where A347130 is the Dirichlet convolution of the identity function with the arithmetic derivative of n (A003415), and A018804 is Pillai's arithmetical function.

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	5
7	1
8	4
9	3
10	1
11	1
12	8
13	1
14	3
15	1
16	16
17	1
18	63
19	1
20	72
21	5
22	1
23	1
24	4
25	5
26	15
27	27
28	8
29	1
30	1
31	1
32	16
33	7
34	1
35	3
36	6
37	1
38	3
39	1
40	4
41	1
42	1
43	1
44	24
45	9
46	5
47	1
48	80
49	7
50	15
51	5
52	8
53	1
54	81
55	1
56	4
57	1
58	1
59	1
60	24
61	1
62	3
63	3
64	32
65	9
66	1
67	1
68	24
69	1
70	1
71	1
72	12
73	1
74	3
75	5
76	8
77	3
78	1
79	1
80	16
81	27
82	1
83	1
84	8
85	11
86	15
87	1
88	140
89	1
90	9
91	5
92	72
93	1
94	1
95	3
96	16
97	1

[1, 1, 1, 2, 1, 5, 1, 4, 3, 1, 1, 8, 1, 3, 1, 16, 1, 63, 1, 72, 5, 1, 1, 4, 5, 15, 27, 8, 1, 1, 1, 16, 7, 1, 3, 6, 1, 3, 1, 4, 1, 1, 1, 24, 9, 5, 1, 80, 7, 15, 5, 8, 1, 81, 1, 4, 1, 1, 1, 24, 1, 3, 3, 32, 9, 1, 1, 24, 1, 1, 1, 12, 1, 3, 5, 8, 3, 1, 1, 16, 27, 1, 1, 8, 11, 15, 1, 140, 1, 9, 5, 72, 1, 1, 3, 16, 1]

cp's OEIS Frontend

A348495 a(n) = gcd(A018804(n), A347130(n)), where A347130 is the Dirichlet convolution of the identity function with the arithmetic derivative of n (A003415), and A018804 is Pillai's arithmetical function.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	5
7	1
8	4
9	3
10	1
11	1
12	8
13	1
14	3
15	1
16	16
17	1
18	63
19	1
20	72
21	5
22	1
23	1
24	4
25	5
26	15
27	27
28	8
29	1
30	1
31	1
32	16
33	7
34	1
35	3
36	6
37	1
38	3
39	1
40	4
41	1
42	1
43	1
44	24
45	9
46	5
47	1
48	80
49	7
50	15
51	5
52	8
53	1
54	81
55	1
56	4
57	1
58	1
59	1
60	24
61	1
62	3
63	3
64	32
65	9
66	1
67	1
68	24
69	1
70	1
71	1
72	12
73	1
74	3
75	5
76	8
77	3
78	1
79	1
80	16
81	27
82	1
83	1
84	8
85	11
86	15
87	1
88	140
89	1
90	9
91	5
92	72
93	1
94	1
95	3
96	16
97	1

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	5
7	1
8	4
9	3
10	1
11	1
12	8
13	1
14	3
15	1
16	16
17	1
18	63
19	1
20	72
21	5
22	1
23	1
24	4
25	5
26	15
27	27
28	8
29	1
30	1
31	1
32	16
33	7
34	1
35	3
36	6
37	1
38	3
39	1
40	4
41	1
42	1
43	1
44	24
45	9
46	5
47	1
48	80
49	7
50	15
51	5
52	8
53	1
54	81
55	1
56	4
57	1
58	1
59	1
60	24
61	1
62	3
63	3
64	32
65	9
66	1
67	1
68	24
69	1
70	1
71	1
72	12
73	1
74	3
75	5
76	8
77	3
78	1
79	1
80	16
81	27
82	1
83	1
84	8
85	11
86	15
87	1
88	140
89	1
90	9
91	5
92	72
93	1
94	1
95	3
96	16
97	1

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	5
7	1
8	4
9	3
10	1
11	1
12	8
13	1
14	3
15	1
16	16
17	1
18	63
19	1
20	72
21	5
22	1
23	1
24	4
25	5
26	15
27	27
28	8
29	1
30	1
31	1
32	16
33	7
34	1
35	3
36	6
37	1
38	3
39	1
40	4
41	1
42	1
43	1
44	24
45	9
46	5
47	1
48	80
49	7
50	15
51	5
52	8
53	1
54	81
55	1
56	4
57	1
58	1
59	1
60	24
61	1
62	3
63	3
64	32
65	9
66	1
67	1
68	24
69	1
70	1
71	1
72	12
73	1
74	3
75	5
76	8
77	3
78	1
79	1
80	16
81	27
82	1
83	1
84	8
85	11
86	15
87	1
88	140
89	1
90	9
91	5
92	72
93	1
94	1
95	3
96	16
97	1