A353784 - cp's OEIS frontend

A353784 a(n) = sigma(n) / LCM_{p^e||n} sigma(p^e), where n = Product_{p^e||n}, with each p^e the maximal power of prime p that divides n.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	3
11	1
12	1
13	1
14	1
15	2
16	1
17	1
18	1
19	1
20	1
21	4
22	3
23	1
24	1
25	1
26	1
27	1
28	1
29	1
30	6
31	1
32	1
33	4
34	3
35	2
36	1
37	1
38	1
39	2
40	3
41	1
42	4
43	1
44	1
45	1
46	3
47	1
48	1
49	1
50	1
51	2
52	7
53	1
54	1
55	6
56	1
57	4
58	3
59	1
60	2
61	1
62	1
63	1
64	1
65	2
66	12
67	1
68	1
69	4
70	6
71	1
72	1
73	1
74	1
75	1
76	1
77	4
78	2
79	1
80	1
81	1
82	3
83	1
84	4
85	6
86	1
87	2
88	3
89	1
90	3
91	2
92	1
93	4
94	3
95	2
96	1
97	1
98	3
99	1
100	1
101	1
102	6
103	1
104	1
105	8

[1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 3, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 4, 3, 2, 1, 1, 1, 2, 3, 1, 4, 1, 1, 1, 3, 1, 1, 1, 1, 2, 7, 1, 1, 6, 1, 4, 3, 1, 2, 1, 1, 1, 1, 2, 12, 1, 1, 4, 6, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 3, 1, 4, 6, 1, 2, 3, 1, 3, 2, 1, 4, 3, 2, 1, 1, 3, 1, 1, 1, 6, 1, 1, 8]

cp's OEIS Frontend

A353784 a(n) = sigma(n) / LCM_{p^e||n} sigma(p^e), where n = Product_{p^e||n}, with each p^e the maximal power of prime p that divides n.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	3
11	1
12	1
13	1
14	1
15	2
16	1
17	1
18	1
19	1
20	1
21	4
22	3
23	1
24	1
25	1
26	1
27	1
28	1
29	1
30	6
31	1
32	1
33	4
34	3
35	2
36	1
37	1
38	1
39	2
40	3
41	1
42	4
43	1
44	1
45	1
46	3
47	1
48	1
49	1
50	1
51	2
52	7
53	1
54	1
55	6
56	1
57	4
58	3
59	1
60	2
61	1
62	1
63	1
64	1
65	2
66	12
67	1
68	1
69	4
70	6
71	1
72	1
73	1
74	1
75	1
76	1
77	4
78	2
79	1
80	1
81	1
82	3
83	1
84	4
85	6
86	1
87	2
88	3
89	1
90	3
91	2
92	1
93	4
94	3
95	2
96	1
97	1
98	3
99	1
100	1
101	1
102	6
103	1
104	1
105	8

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	3
11	1
12	1
13	1
14	1
15	2
16	1
17	1
18	1
19	1
20	1
21	4
22	3
23	1
24	1
25	1
26	1
27	1
28	1
29	1
30	6
31	1
32	1
33	4
34	3
35	2
36	1
37	1
38	1
39	2
40	3
41	1
42	4
43	1
44	1
45	1
46	3
47	1
48	1
49	1
50	1
51	2
52	7
53	1
54	1
55	6
56	1
57	4
58	3
59	1
60	2
61	1
62	1
63	1
64	1
65	2
66	12
67	1
68	1
69	4
70	6
71	1
72	1
73	1
74	1
75	1
76	1
77	4
78	2
79	1
80	1
81	1
82	3
83	1
84	4
85	6
86	1
87	2
88	3
89	1
90	3
91	2
92	1
93	4
94	3
95	2
96	1
97	1
98	3
99	1
100	1
101	1
102	6
103	1
104	1
105	8

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	3
11	1
12	1
13	1
14	1
15	2
16	1
17	1
18	1
19	1
20	1
21	4
22	3
23	1
24	1
25	1
26	1
27	1
28	1
29	1
30	6
31	1
32	1
33	4
34	3
35	2
36	1
37	1
38	1
39	2
40	3
41	1
42	4
43	1
44	1
45	1
46	3
47	1
48	1
49	1
50	1
51	2
52	7
53	1
54	1
55	6
56	1
57	4
58	3
59	1
60	2
61	1
62	1
63	1
64	1
65	2
66	12
67	1
68	1
69	4
70	6
71	1
72	1
73	1
74	1
75	1
76	1
77	4
78	2
79	1
80	1
81	1
82	3
83	1
84	4
85	6
86	1
87	2
88	3
89	1
90	3
91	2
92	1
93	4
94	3
95	2
96	1
97	1
98	3
99	1
100	1
101	1
102	6
103	1
104	1
105	8