A373843 - cp's OEIS frontend

A373843 a(n) = gcd(n, A003415(A276085(n))), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function.

n	a(n)
1	1
2	2
3	1
4	1
5	5
6	1
7	1
8	1
9	1
10	1
11	1
12	4
13	1
14	1
15	3
16	4
17	1
18	1
19	19
20	4
21	1
22	1
23	1
24	1
25	1
26	1
27	1
28	4
29	1
30	6
31	1
32	1
33	3
34	2
35	5
36	1
37	1
38	1
39	1
40	2
41	1
42	14
43	1
44	4
45	1
46	2
47	47
48	1
49	1
50	1
51	1
52	4
53	1
54	1
55	5
56	14
57	1
58	2
59	1
60	1
61	1
62	1
63	1
64	1
65	5
66	2
67	1
68	4
69	1
70	1
71	1
72	1
73	1
74	1
75	3
76	4
77	1
78	3
79	79
80	1
81	3
82	1
83	1
84	1
85	5
86	1
87	1
88	2
89	1
90	1
91	1
92	4
93	1
94	2
95	1
96	1
97	1
98	1
99	1
100	1
101	1
102	6
103	1
104	1
105	21

[1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 4, 1, 1, 3, 4, 1, 1, 19, 4, 1, 1, 1, 1, 1, 1, 1, 4, 1, 6, 1, 1, 3, 2, 5, 1, 1, 1, 1, 2, 1, 14, 1, 4, 1, 2, 47, 1, 1, 1, 1, 4, 1, 1, 5, 14, 1, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 4, 1, 1, 1, 1, 1, 1, 3, 4, 1, 3, 79, 1, 3, 1, 1, 1, 5, 1, 1, 2, 1, 1, 1, 4, 1, 2, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 21]

cp's OEIS Frontend

A373843 a(n) = gcd(n, A003415(A276085(n))), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function.

Table of values

List of values

n	a(n)
1	1
2	2
3	1
4	1
5	5
6	1
7	1
8	1
9	1
10	1
11	1
12	4
13	1
14	1
15	3
16	4
17	1
18	1
19	19
20	4
21	1
22	1
23	1
24	1
25	1
26	1
27	1
28	4
29	1
30	6
31	1
32	1
33	3
34	2
35	5
36	1
37	1
38	1
39	1
40	2
41	1
42	14
43	1
44	4
45	1
46	2
47	47
48	1
49	1
50	1
51	1
52	4
53	1
54	1
55	5
56	14
57	1
58	2
59	1
60	1
61	1
62	1
63	1
64	1
65	5
66	2
67	1
68	4
69	1
70	1
71	1
72	1
73	1
74	1
75	3
76	4
77	1
78	3
79	79
80	1
81	3
82	1
83	1
84	1
85	5
86	1
87	1
88	2
89	1
90	1
91	1
92	4
93	1
94	2
95	1
96	1
97	1
98	1
99	1
100	1
101	1
102	6
103	1
104	1
105	21

n	a(n)
1	1
2	2
3	1
4	1
5	5
6	1
7	1
8	1
9	1
10	1
11	1
12	4
13	1
14	1
15	3
16	4
17	1
18	1
19	19
20	4
21	1
22	1
23	1
24	1
25	1
26	1
27	1
28	4
29	1
30	6
31	1
32	1
33	3
34	2
35	5
36	1
37	1
38	1
39	1
40	2
41	1
42	14
43	1
44	4
45	1
46	2
47	47
48	1
49	1
50	1
51	1
52	4
53	1
54	1
55	5
56	14
57	1
58	2
59	1
60	1
61	1
62	1
63	1
64	1
65	5
66	2
67	1
68	4
69	1
70	1
71	1
72	1
73	1
74	1
75	3
76	4
77	1
78	3
79	79
80	1
81	3
82	1
83	1
84	1
85	5
86	1
87	1
88	2
89	1
90	1
91	1
92	4
93	1
94	2
95	1
96	1
97	1
98	1
99	1
100	1
101	1
102	6
103	1
104	1
105	21

n	a(n)
1	1
2	2
3	1
4	1
5	5
6	1
7	1
8	1
9	1
10	1
11	1
12	4
13	1
14	1
15	3
16	4
17	1
18	1
19	19
20	4
21	1
22	1
23	1
24	1
25	1
26	1
27	1
28	4
29	1
30	6
31	1
32	1
33	3
34	2
35	5
36	1
37	1
38	1
39	1
40	2
41	1
42	14
43	1
44	4
45	1
46	2
47	47
48	1
49	1
50	1
51	1
52	4
53	1
54	1
55	5
56	14
57	1
58	2
59	1
60	1
61	1
62	1
63	1
64	1
65	5
66	2
67	1
68	4
69	1
70	1
71	1
72	1
73	1
74	1
75	3
76	4
77	1
78	3
79	79
80	1
81	3
82	1
83	1
84	1
85	5
86	1
87	1
88	2
89	1
90	1
91	1
92	4
93	1
94	2
95	1
96	1
97	1
98	1
99	1
100	1
101	1
102	6
103	1
104	1
105	21