A353753 - cp's OEIS frontend

A353753 a(n) = phi(sigma(n)) - Product_{p^e||n} phi(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	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	2
11	0
12	0
13	0
14	0
15	4
16	0
17	0
18	0
19	0
20	0
21	8
22	4
23	0
24	0
25	0
26	0
27	0
28	0
29	0
30	16
31	0
32	0
33	8
34	6
35	8
36	0
37	0
38	0
39	12
40	8
41	0
42	16
43	0
44	0
45	0
46	8
47	0
48	0
49	0
50	0
51	12
52	6
53	0
54	0
55	16
56	0
57	16
58	8
59	0
60	24
61	0
62	0
63	0
64	0
65	12
66	32
67	0
68	0
69	16
70	32
71	0
72	0
73	0
74	0
75	0
76	0
77	16
78	24
79	0
80	0
81	0
82	12
83	0
84	48
85	24
86	0
87	16
88	16
89	0
90	24
91	24
92	0
93	32
94	16
95	16
96	0
97	0
98	36

[0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 8, 4, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 8, 6, 8, 0, 0, 0, 12, 8, 0, 16, 0, 0, 0, 8, 0, 0, 0, 0, 12, 6, 0, 0, 16, 0, 16, 8, 0, 24, 0, 0, 0, 0, 12, 32, 0, 0, 16, 32, 0, 0, 0, 0, 0, 0, 16, 24, 0, 0, 0, 12, 0, 48, 24, 0, 16, 16, 0, 24, 24, 0, 32, 16, 16, 0, 0, 36]

cp's OEIS Frontend

A353753 a(n) = phi(sigma(n)) - Product_{p^e||n} phi(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	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	2
11	0
12	0
13	0
14	0
15	4
16	0
17	0
18	0
19	0
20	0
21	8
22	4
23	0
24	0
25	0
26	0
27	0
28	0
29	0
30	16
31	0
32	0
33	8
34	6
35	8
36	0
37	0
38	0
39	12
40	8
41	0
42	16
43	0
44	0
45	0
46	8
47	0
48	0
49	0
50	0
51	12
52	6
53	0
54	0
55	16
56	0
57	16
58	8
59	0
60	24
61	0
62	0
63	0
64	0
65	12
66	32
67	0
68	0
69	16
70	32
71	0
72	0
73	0
74	0
75	0
76	0
77	16
78	24
79	0
80	0
81	0
82	12
83	0
84	48
85	24
86	0
87	16
88	16
89	0
90	24
91	24
92	0
93	32
94	16
95	16
96	0
97	0
98	36

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	2
11	0
12	0
13	0
14	0
15	4
16	0
17	0
18	0
19	0
20	0
21	8
22	4
23	0
24	0
25	0
26	0
27	0
28	0
29	0
30	16
31	0
32	0
33	8
34	6
35	8
36	0
37	0
38	0
39	12
40	8
41	0
42	16
43	0
44	0
45	0
46	8
47	0
48	0
49	0
50	0
51	12
52	6
53	0
54	0
55	16
56	0
57	16
58	8
59	0
60	24
61	0
62	0
63	0
64	0
65	12
66	32
67	0
68	0
69	16
70	32
71	0
72	0
73	0
74	0
75	0
76	0
77	16
78	24
79	0
80	0
81	0
82	12
83	0
84	48
85	24
86	0
87	16
88	16
89	0
90	24
91	24
92	0
93	32
94	16
95	16
96	0
97	0
98	36

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	2
11	0
12	0
13	0
14	0
15	4
16	0
17	0
18	0
19	0
20	0
21	8
22	4
23	0
24	0
25	0
26	0
27	0
28	0
29	0
30	16
31	0
32	0
33	8
34	6
35	8
36	0
37	0
38	0
39	12
40	8
41	0
42	16
43	0
44	0
45	0
46	8
47	0
48	0
49	0
50	0
51	12
52	6
53	0
54	0
55	16
56	0
57	16
58	8
59	0
60	24
61	0
62	0
63	0
64	0
65	12
66	32
67	0
68	0
69	16
70	32
71	0
72	0
73	0
74	0
75	0
76	0
77	16
78	24
79	0
80	0
81	0
82	12
83	0
84	48
85	24
86	0
87	16
88	16
89	0
90	24
91	24
92	0
93	32
94	16
95	16
96	0
97	0
98	36