A353803 - cp's OEIS frontend

A353803 a(n) = Product_{p^e||n} sigma(sigma(p^e)) - sigma(sigma(n)), 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	9
11	0
12	0
13	0
14	0
15	24
16	0
17	0
18	0
19	0
20	0
21	42
22	21
23	0
24	0
25	0
26	0
27	0
28	0
29	0
30	141
31	0
32	0
33	72
34	36
35	56
36	0
37	0
38	0
39	48
40	54
41	0
42	168
43	0
44	0
45	0
46	45
47	0
48	0
49	0
50	0
51	78
52	21
53	0
54	0
55	141
56	0
57	108
58	54
59	0
60	192
61	0
62	0
63	0
64	0
65	64
66	381
67	0
68	0
69	168
70	317
71	0
72	0
73	0
74	0
75	0
76	0
77	168
78	192
79	0
80	0
81	0
82	72
83	0
84	336
85	188
86	0
87	144
88	126
89	0
90	126
91	112

[0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 42, 21, 0, 0, 0, 0, 0, 0, 0, 141, 0, 0, 72, 36, 56, 0, 0, 0, 48, 54, 0, 168, 0, 0, 0, 45, 0, 0, 0, 0, 78, 21, 0, 0, 141, 0, 108, 54, 0, 192, 0, 0, 0, 0, 64, 381, 0, 0, 168, 317, 0, 0, 0, 0, 0, 0, 168, 192, 0, 0, 0, 72, 0, 336, 188, 0, 144, 126, 0, 126, 112]

cp's OEIS Frontend

A353803 a(n) = Product_{p^e||n} sigma(sigma(p^e)) - sigma(sigma(n)), 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	9
11	0
12	0
13	0
14	0
15	24
16	0
17	0
18	0
19	0
20	0
21	42
22	21
23	0
24	0
25	0
26	0
27	0
28	0
29	0
30	141
31	0
32	0
33	72
34	36
35	56
36	0
37	0
38	0
39	48
40	54
41	0
42	168
43	0
44	0
45	0
46	45
47	0
48	0
49	0
50	0
51	78
52	21
53	0
54	0
55	141
56	0
57	108
58	54
59	0
60	192
61	0
62	0
63	0
64	0
65	64
66	381
67	0
68	0
69	168
70	317
71	0
72	0
73	0
74	0
75	0
76	0
77	168
78	192
79	0
80	0
81	0
82	72
83	0
84	336
85	188
86	0
87	144
88	126
89	0
90	126
91	112

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	9
11	0
12	0
13	0
14	0
15	24
16	0
17	0
18	0
19	0
20	0
21	42
22	21
23	0
24	0
25	0
26	0
27	0
28	0
29	0
30	141
31	0
32	0
33	72
34	36
35	56
36	0
37	0
38	0
39	48
40	54
41	0
42	168
43	0
44	0
45	0
46	45
47	0
48	0
49	0
50	0
51	78
52	21
53	0
54	0
55	141
56	0
57	108
58	54
59	0
60	192
61	0
62	0
63	0
64	0
65	64
66	381
67	0
68	0
69	168
70	317
71	0
72	0
73	0
74	0
75	0
76	0
77	168
78	192
79	0
80	0
81	0
82	72
83	0
84	336
85	188
86	0
87	144
88	126
89	0
90	126
91	112

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	9
11	0
12	0
13	0
14	0
15	24
16	0
17	0
18	0
19	0
20	0
21	42
22	21
23	0
24	0
25	0
26	0
27	0
28	0
29	0
30	141
31	0
32	0
33	72
34	36
35	56
36	0
37	0
38	0
39	48
40	54
41	0
42	168
43	0
44	0
45	0
46	45
47	0
48	0
49	0
50	0
51	78
52	21
53	0
54	0
55	141
56	0
57	108
58	54
59	0
60	192
61	0
62	0
63	0
64	0
65	64
66	381
67	0
68	0
69	168
70	317
71	0
72	0
73	0
74	0
75	0
76	0
77	168
78	192
79	0
80	0
81	0
82	72
83	0
84	336
85	188
86	0
87	144
88	126
89	0
90	126
91	112