A369964 - cp's OEIS frontend

A369964 a(n) = gcd(n, A276086(A003415(n))), where A003415 is the arithmetic derivative, and A276086 is the primorial base exp-function.

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

[1, 1, 2, 1, 1, 1, 6, 1, 1, 1, 10, 1, 3, 1, 2, 15, 1, 1, 6, 1, 5, 3, 2, 1, 3, 5, 2, 3, 7, 1, 2, 1, 1, 3, 2, 5, 1, 1, 2, 3, 5, 1, 42, 1, 1, 15, 2, 1, 3, 1, 50, 3, 1, 1, 6, 5, 7, 3, 2, 1, 3, 1, 2, 21, 1, 5, 2, 1, 1, 3, 70, 1, 1, 1, 2, 25, 1, 1, 6, 1, 5, 1, 2, 1, 21, 5, 2, 3, 1, 1, 6, 1, 1, 3, 2, 5, 3, 1, 98, 3, 25]

cp's OEIS Frontend

A369964 a(n) = gcd(n, A276086(A003415(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	1
1	1
2	2
3	1
4	1
5	1
6	6
7	1
8	1
9	1
10	10
11	1
12	3
13	1
14	2
15	15
16	1
17	1
18	6
19	1
20	5
21	3
22	2
23	1
24	3
25	5
26	2
27	3
28	7
29	1
30	2
31	1
32	1
33	3
34	2
35	5
36	1
37	1
38	2
39	3
40	5
41	1
42	42
43	1
44	1
45	15
46	2
47	1
48	3
49	1
50	50
51	3
52	1
53	1
54	6
55	5
56	7
57	3
58	2
59	1
60	3
61	1
62	2
63	21
64	1
65	5
66	2
67	1
68	1
69	3
70	70
71	1
72	1
73	1
74	2
75	25
76	1
77	1
78	6
79	1
80	5
81	1
82	2
83	1
84	21
85	5
86	2
87	3
88	1
89	1
90	6
91	1
92	1
93	3
94	2
95	5
96	3
97	1
98	98
99	3
100	25

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

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