A348992 - cp's OEIS frontend

A348992 a(n) = A000265(sigma(n)) / gcd(sigma(n), A003961(n)), where A003961(n) is fully multiplicative with a(prime(k)) = prime(k+1), and sigma is the sum of divisors function.

n	a(n)
1	1
2	1
3	1
4	7
5	3
6	1
7	1
8	5
9	13
10	3
11	3
12	7
13	7
14	1
15	3
16	31
17	9
18	13
19	5
20	1
21	1
22	3
23	3
24	1
25	31
26	7
27	1
28	7
29	15
30	3
31	1
32	7
33	3
34	9
35	3
36	91
37	19
38	5
39	7
40	5
41	21
42	1
43	11
44	7
45	39
46	3
47	3
48	31
49	57
50	31
51	9
52	49
53	27
54	1
55	9
56	5
57	1
58	15
59	15
60	1
61	31
62	1
63	13
64	127
65	3
66	3
67	17
68	7
69	3
70	3
71	9
72	13
73	37
74	19
75	31
76	35
77	3
78	7
79	5
80	31
81	121
82	21
83	21
84	7
85	27
86	11
87	3
88	5
89	45
90	39
91	7
92	7
93	1
94	3

[1, 1, 1, 7, 3, 1, 1, 5, 13, 3, 3, 7, 7, 1, 3, 31, 9, 13, 5, 1, 1, 3, 3, 1, 31, 7, 1, 7, 15, 3, 1, 7, 3, 9, 3, 91, 19, 5, 7, 5, 21, 1, 11, 7, 39, 3, 3, 31, 57, 31, 9, 49, 27, 1, 9, 5, 1, 15, 15, 1, 31, 1, 13, 127, 3, 3, 17, 7, 3, 3, 9, 13, 37, 19, 31, 35, 3, 7, 5, 31, 121, 21, 21, 7, 27, 11, 3, 5, 45, 39, 7, 7, 1, 3]

cp's OEIS Frontend

A348992 a(n) = A000265(sigma(n)) / gcd(sigma(n), A003961(n)), where A003961(n) is fully multiplicative with a(prime(k)) = prime(k+1), and sigma is the sum of divisors function.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	7
5	3
6	1
7	1
8	5
9	13
10	3
11	3
12	7
13	7
14	1
15	3
16	31
17	9
18	13
19	5
20	1
21	1
22	3
23	3
24	1
25	31
26	7
27	1
28	7
29	15
30	3
31	1
32	7
33	3
34	9
35	3
36	91
37	19
38	5
39	7
40	5
41	21
42	1
43	11
44	7
45	39
46	3
47	3
48	31
49	57
50	31
51	9
52	49
53	27
54	1
55	9
56	5
57	1
58	15
59	15
60	1
61	31
62	1
63	13
64	127
65	3
66	3
67	17
68	7
69	3
70	3
71	9
72	13
73	37
74	19
75	31
76	35
77	3
78	7
79	5
80	31
81	121
82	21
83	21
84	7
85	27
86	11
87	3
88	5
89	45
90	39
91	7
92	7
93	1
94	3

n	a(n)
1	1
2	1
3	1
4	7
5	3
6	1
7	1
8	5
9	13
10	3
11	3
12	7
13	7
14	1
15	3
16	31
17	9
18	13
19	5
20	1
21	1
22	3
23	3
24	1
25	31
26	7
27	1
28	7
29	15
30	3
31	1
32	7
33	3
34	9
35	3
36	91
37	19
38	5
39	7
40	5
41	21
42	1
43	11
44	7
45	39
46	3
47	3
48	31
49	57
50	31
51	9
52	49
53	27
54	1
55	9
56	5
57	1
58	15
59	15
60	1
61	31
62	1
63	13
64	127
65	3
66	3
67	17
68	7
69	3
70	3
71	9
72	13
73	37
74	19
75	31
76	35
77	3
78	7
79	5
80	31
81	121
82	21
83	21
84	7
85	27
86	11
87	3
88	5
89	45
90	39
91	7
92	7
93	1
94	3

n	a(n)
1	1
2	1
3	1
4	7
5	3
6	1
7	1
8	5
9	13
10	3
11	3
12	7
13	7
14	1
15	3
16	31
17	9
18	13
19	5
20	1
21	1
22	3
23	3
24	1
25	31
26	7
27	1
28	7
29	15
30	3
31	1
32	7
33	3
34	9
35	3
36	91
37	19
38	5
39	7
40	5
41	21
42	1
43	11
44	7
45	39
46	3
47	3
48	31
49	57
50	31
51	9
52	49
53	27
54	1
55	9
56	5
57	1
58	15
59	15
60	1
61	31
62	1
63	13
64	127
65	3
66	3
67	17
68	7
69	3
70	3
71	9
72	13
73	37
74	19
75	31
76	35
77	3
78	7
79	5
80	31
81	121
82	21
83	21
84	7
85	27
86	11
87	3
88	5
89	45
90	39
91	7
92	7
93	1
94	3