A379488 - cp's OEIS frontend

A379488 a(n) = gcd(n,A276086(n)) * gcd(sigma(n),A003961(n)), where A003961 is fully multiplicative with a(prime(i)) = prime(i+1), and A276086 is the primorial base exp-function.

n	a(n)
1	1
2	3
3	3
4	1
5	1
6	3
7	1
8	3
9	3
10	15
11	1
12	1
13	1
14	3
15	15
16	1
17	1
18	3
19	1
20	105
21	3
22	3
23	1
24	15
25	25
26	3
27	15
28	1
29	1
30	3
31	1
32	9
33	3
34	3
35	7
36	1
37	1
38	3
39	3
40	45
41	1
42	21
43	1
44	3
45	15
46	3
47	1
48	1
49	7
50	75
51	3
52	1
53	1
54	15
55	5
56	21
57	15
58	3
59	1
60	21
61	1
62	3
63	21
64	1
65	7
66	3
67	1
68	9
69	3
70	105
71	1
72	15
73	1
74	3
75	75
76	1
77	7
78	3
79	1
80	15
81	3
82	3
83	1
84	7
85	5
86	3
87	15
88	9
89	1
90	3
91	7
92	3
93	3
94	3
95	1
96	9
97	1
98	147

[1, 3, 3, 1, 1, 3, 1, 3, 3, 15, 1, 1, 1, 3, 15, 1, 1, 3, 1, 105, 3, 3, 1, 15, 25, 3, 15, 1, 1, 3, 1, 9, 3, 3, 7, 1, 1, 3, 3, 45, 1, 21, 1, 3, 15, 3, 1, 1, 7, 75, 3, 1, 1, 15, 5, 21, 15, 3, 1, 21, 1, 3, 21, 1, 7, 3, 1, 9, 3, 105, 1, 15, 1, 3, 75, 1, 7, 3, 1, 15, 3, 3, 1, 7, 5, 3, 15, 9, 1, 3, 7, 3, 3, 3, 1, 9, 1, 147]

cp's OEIS Frontend

A379488 a(n) = gcd(n,A276086(n)) * gcd(sigma(n),A003961(n)), where A003961 is fully multiplicative with a(prime(i)) = prime(i+1), and A276086 is the primorial base exp-function.

Table of values

List of values

n	a(n)
1	1
2	3
3	3
4	1
5	1
6	3
7	1
8	3
9	3
10	15
11	1
12	1
13	1
14	3
15	15
16	1
17	1
18	3
19	1
20	105
21	3
22	3
23	1
24	15
25	25
26	3
27	15
28	1
29	1
30	3
31	1
32	9
33	3
34	3
35	7
36	1
37	1
38	3
39	3
40	45
41	1
42	21
43	1
44	3
45	15
46	3
47	1
48	1
49	7
50	75
51	3
52	1
53	1
54	15
55	5
56	21
57	15
58	3
59	1
60	21
61	1
62	3
63	21
64	1
65	7
66	3
67	1
68	9
69	3
70	105
71	1
72	15
73	1
74	3
75	75
76	1
77	7
78	3
79	1
80	15
81	3
82	3
83	1
84	7
85	5
86	3
87	15
88	9
89	1
90	3
91	7
92	3
93	3
94	3
95	1
96	9
97	1
98	147

n	a(n)
1	1
2	3
3	3
4	1
5	1
6	3
7	1
8	3
9	3
10	15
11	1
12	1
13	1
14	3
15	15
16	1
17	1
18	3
19	1
20	105
21	3
22	3
23	1
24	15
25	25
26	3
27	15
28	1
29	1
30	3
31	1
32	9
33	3
34	3
35	7
36	1
37	1
38	3
39	3
40	45
41	1
42	21
43	1
44	3
45	15
46	3
47	1
48	1
49	7
50	75
51	3
52	1
53	1
54	15
55	5
56	21
57	15
58	3
59	1
60	21
61	1
62	3
63	21
64	1
65	7
66	3
67	1
68	9
69	3
70	105
71	1
72	15
73	1
74	3
75	75
76	1
77	7
78	3
79	1
80	15
81	3
82	3
83	1
84	7
85	5
86	3
87	15
88	9
89	1
90	3
91	7
92	3
93	3
94	3
95	1
96	9
97	1
98	147

n	a(n)
1	1
2	3
3	3
4	1
5	1
6	3
7	1
8	3
9	3
10	15
11	1
12	1
13	1
14	3
15	15
16	1
17	1
18	3
19	1
20	105
21	3
22	3
23	1
24	15
25	25
26	3
27	15
28	1
29	1
30	3
31	1
32	9
33	3
34	3
35	7
36	1
37	1
38	3
39	3
40	45
41	1
42	21
43	1
44	3
45	15
46	3
47	1
48	1
49	7
50	75
51	3
52	1
53	1
54	15
55	5
56	21
57	15
58	3
59	1
60	21
61	1
62	3
63	21
64	1
65	7
66	3
67	1
68	9
69	3
70	105
71	1
72	15
73	1
74	3
75	75
76	1
77	7
78	3
79	1
80	15
81	3
82	3
83	1
84	7
85	5
86	3
87	15
88	9
89	1
90	3
91	7
92	3
93	3
94	3
95	1
96	9
97	1
98	147