A379487 - cp's OEIS frontend

A379487 a(n) = gcd(n,A003961(n)) * gcd(sigma(n),A276086(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	2
4	1
5	6
6	3
7	2
8	15
9	1
10	9
11	6
12	3
13	2
14	3
15	30
16	1
17	18
18	3
19	10
20	3
21	2
22	9
23	6
24	15
25	1
26	3
27	10
28	1
29	30
30	15
31	2
32	21
33	6
34	9
35	42
36	63
37	2
38	15
39	14
40	45
41	42
42	3
43	2
44	21
45	30
46	9
47	6
48	3
49	1
50	3
51	6
52	7
53	18
54	15
55	2
56	15
57	10
58	45
59	30
60	105
61	2
62	3
63	2
64	1
65	42
66	3
67	2
68	21
69	6
70	63
71	18
72	45
73	2
74	3
75	10
76	35
77	66
78	21
79	10
80	3
81	1
82	63
83	42
84	21
85	2
86	3
87	30
88	45
89	90
90	15
91	14
92	21

[1, 3, 2, 1, 6, 3, 2, 15, 1, 9, 6, 3, 2, 3, 30, 1, 18, 3, 10, 3, 2, 9, 6, 15, 1, 3, 10, 1, 30, 15, 2, 21, 6, 9, 42, 63, 2, 15, 14, 45, 42, 3, 2, 21, 30, 9, 6, 3, 1, 3, 6, 7, 18, 15, 2, 15, 10, 45, 30, 105, 2, 3, 2, 1, 42, 3, 2, 21, 6, 63, 18, 45, 2, 3, 10, 35, 66, 21, 10, 3, 1, 63, 42, 21, 2, 3, 30, 45, 90, 15, 14, 21]

cp's OEIS Frontend

A379487 a(n) = gcd(n,A003961(n)) * gcd(sigma(n),A276086(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	2
4	1
5	6
6	3
7	2
8	15
9	1
10	9
11	6
12	3
13	2
14	3
15	30
16	1
17	18
18	3
19	10
20	3
21	2
22	9
23	6
24	15
25	1
26	3
27	10
28	1
29	30
30	15
31	2
32	21
33	6
34	9
35	42
36	63
37	2
38	15
39	14
40	45
41	42
42	3
43	2
44	21
45	30
46	9
47	6
48	3
49	1
50	3
51	6
52	7
53	18
54	15
55	2
56	15
57	10
58	45
59	30
60	105
61	2
62	3
63	2
64	1
65	42
66	3
67	2
68	21
69	6
70	63
71	18
72	45
73	2
74	3
75	10
76	35
77	66
78	21
79	10
80	3
81	1
82	63
83	42
84	21
85	2
86	3
87	30
88	45
89	90
90	15
91	14
92	21

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

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