A351083 - cp's OEIS frontend

A351083 a(n) = gcd(n, A003415(A276086(n))), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function.

n	a(n)
0	0
1	1
2	1
3	1
4	2
5	1
6	1
7	7
8	8
9	1
10	1
11	1
12	2
13	1
14	1
15	5
16	16
17	1
18	3
19	1
20	10
21	1
22	1
23	1
24	4
25	25
26	1
27	1
28	2
29	1
30	1
31	1
32	2
33	1
34	17
35	5
36	12
37	1
38	1
39	13
40	2
41	1
42	1
43	1
44	4
45	5
46	1
47	1
48	2
49	1
50	25
51	1
52	4
53	1
54	3
55	5
56	2
57	1
58	1
59	1
60	2
61	1
62	1
63	7
64	4
65	1
66	1
67	1
68	2
69	1
70	7
71	1
72	24
73	1
74	1
75	5
76	2
77	7
78	1
79	1
80	80
81	1
82	1
83	1
84	14
85	5
86	1
87	1
88	8
89	1
90	3
91	91
92	4
93	1
94	1
95	1
96	2
97	1
98	49
99	1
100	4

[0, 1, 1, 1, 2, 1, 1, 7, 8, 1, 1, 1, 2, 1, 1, 5, 16, 1, 3, 1, 10, 1, 1, 1, 4, 25, 1, 1, 2, 1, 1, 1, 2, 1, 17, 5, 12, 1, 1, 13, 2, 1, 1, 1, 4, 5, 1, 1, 2, 1, 25, 1, 4, 1, 3, 5, 2, 1, 1, 1, 2, 1, 1, 7, 4, 1, 1, 1, 2, 1, 7, 1, 24, 1, 1, 5, 2, 7, 1, 1, 80, 1, 1, 1, 14, 5, 1, 1, 8, 1, 3, 91, 4, 1, 1, 1, 2, 1, 49, 1, 4]

cp's OEIS Frontend

A351083 a(n) = gcd(n, A003415(A276086(n))), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function.

Table of values

List of values

n	a(n)
0	0
1	1
2	1
3	1
4	2
5	1
6	1
7	7
8	8
9	1
10	1
11	1
12	2
13	1
14	1
15	5
16	16
17	1
18	3
19	1
20	10
21	1
22	1
23	1
24	4
25	25
26	1
27	1
28	2
29	1
30	1
31	1
32	2
33	1
34	17
35	5
36	12
37	1
38	1
39	13
40	2
41	1
42	1
43	1
44	4
45	5
46	1
47	1
48	2
49	1
50	25
51	1
52	4
53	1
54	3
55	5
56	2
57	1
58	1
59	1
60	2
61	1
62	1
63	7
64	4
65	1
66	1
67	1
68	2
69	1
70	7
71	1
72	24
73	1
74	1
75	5
76	2
77	7
78	1
79	1
80	80
81	1
82	1
83	1
84	14
85	5
86	1
87	1
88	8
89	1
90	3
91	91
92	4
93	1
94	1
95	1
96	2
97	1
98	49
99	1
100	4

n	a(n)
0	0
1	1
2	1
3	1
4	2
5	1
6	1
7	7
8	8
9	1
10	1
11	1
12	2
13	1
14	1
15	5
16	16
17	1
18	3
19	1
20	10
21	1
22	1
23	1
24	4
25	25
26	1
27	1
28	2
29	1
30	1
31	1
32	2
33	1
34	17
35	5
36	12
37	1
38	1
39	13
40	2
41	1
42	1
43	1
44	4
45	5
46	1
47	1
48	2
49	1
50	25
51	1
52	4
53	1
54	3
55	5
56	2
57	1
58	1
59	1
60	2
61	1
62	1
63	7
64	4
65	1
66	1
67	1
68	2
69	1
70	7
71	1
72	24
73	1
74	1
75	5
76	2
77	7
78	1
79	1
80	80
81	1
82	1
83	1
84	14
85	5
86	1
87	1
88	8
89	1
90	3
91	91
92	4
93	1
94	1
95	1
96	2
97	1
98	49
99	1
100	4

n	a(n)
0	0
1	1
2	1
3	1
4	2
5	1
6	1
7	7
8	8
9	1
10	1
11	1
12	2
13	1
14	1
15	5
16	16
17	1
18	3
19	1
20	10
21	1
22	1
23	1
24	4
25	25
26	1
27	1
28	2
29	1
30	1
31	1
32	2
33	1
34	17
35	5
36	12
37	1
38	1
39	13
40	2
41	1
42	1
43	1
44	4
45	5
46	1
47	1
48	2
49	1
50	25
51	1
52	4
53	1
54	3
55	5
56	2
57	1
58	1
59	1
60	2
61	1
62	1
63	7
64	4
65	1
66	1
67	1
68	2
69	1
70	7
71	1
72	24
73	1
74	1
75	5
76	2
77	7
78	1
79	1
80	80
81	1
82	1
83	1
84	14
85	5
86	1
87	1
88	8
89	1
90	3
91	91
92	4
93	1
94	1
95	1
96	2
97	1
98	49
99	1
100	4