A373485 - cp's OEIS frontend

A373485 a(n) = gcd(A083345(n), A276085(n)), where A276085 is fully additive with a(p) = p#/p, and A083345 is the numerator of the fully additive function with a(p) = 1/p.

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

[0, 1, 1, 1, 1, 1, 1, 3, 2, 7, 1, 4, 1, 1, 8, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 8, 1, 1, 1, 5, 2, 1, 12, 1, 1, 1, 8, 1, 1, 1, 1, 4, 1, 1, 1, 1, 2, 1, 4, 2, 1, 1, 8, 1, 2, 1, 1, 1, 1, 1, 17, 3, 6, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 4, 6, 1, 1, 1, 4, 1, 1, 1, 2, 1, 8, 1, 1, 1, 20, 4, 2, 1, 12, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1]

cp's OEIS Frontend

A373485 a(n) = gcd(A083345(n), A276085(n)), where A276085 is fully additive with a(p) = p#/p, and A083345 is the numerator of the fully additive function with a(p) = 1/p.

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

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

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