A351555 - cp's OEIS frontend

A351555 a(n) is the number of odd prime factors of sigma(n) that do not divide A003961(n) and the valuation(n, p) is different from valuation(sigma(n), p).

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	0
7	0
8	1
9	1
10	0
11	1
12	1
13	1
14	0
15	0
16	1
17	1
18	1
19	1
20	0
21	0
22	0
23	1
24	0
25	1
26	1
27	0
28	0
29	2
30	0
31	0
32	1
33	0
34	0
35	1
36	2
37	1
38	1
39	1
40	0
41	2
42	0
43	1
44	1
45	2
46	0
47	1
48	1
49	2
50	1
51	1
52	1
53	1
54	0
55	1
56	1
57	0
58	1
59	2
60	0
61	1
62	0
63	1
64	1
65	1
66	0
67	1
68	1
69	0
70	0
71	1
72	1
73	1
74	1
75	1
76	2
77	1
78	1
79	1
80	1
81	1
82	1
83	2
84	0
85	1
86	1
87	0
88	1
89	2
90	1
91	0
92	1
93	0
94	0
95	1
96	1
97	1
98	1
99	1
100	1
101	2
102	0
103	1
104	2
105	0

[0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0]

cp's OEIS Frontend

A351555 a(n) is the number of odd prime factors of sigma(n) that do not divide A003961(n) and the valuation(n, p) is different from valuation(sigma(n), p).

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	0
7	0
8	1
9	1
10	0
11	1
12	1
13	1
14	0
15	0
16	1
17	1
18	1
19	1
20	0
21	0
22	0
23	1
24	0
25	1
26	1
27	0
28	0
29	2
30	0
31	0
32	1
33	0
34	0
35	1
36	2
37	1
38	1
39	1
40	0
41	2
42	0
43	1
44	1
45	2
46	0
47	1
48	1
49	2
50	1
51	1
52	1
53	1
54	0
55	1
56	1
57	0
58	1
59	2
60	0
61	1
62	0
63	1
64	1
65	1
66	0
67	1
68	1
69	0
70	0
71	1
72	1
73	1
74	1
75	1
76	2
77	1
78	1
79	1
80	1
81	1
82	1
83	2
84	0
85	1
86	1
87	0
88	1
89	2
90	1
91	0
92	1
93	0
94	0
95	1
96	1
97	1
98	1
99	1
100	1
101	2
102	0
103	1
104	2
105	0

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	0
7	0
8	1
9	1
10	0
11	1
12	1
13	1
14	0
15	0
16	1
17	1
18	1
19	1
20	0
21	0
22	0
23	1
24	0
25	1
26	1
27	0
28	0
29	2
30	0
31	0
32	1
33	0
34	0
35	1
36	2
37	1
38	1
39	1
40	0
41	2
42	0
43	1
44	1
45	2
46	0
47	1
48	1
49	2
50	1
51	1
52	1
53	1
54	0
55	1
56	1
57	0
58	1
59	2
60	0
61	1
62	0
63	1
64	1
65	1
66	0
67	1
68	1
69	0
70	0
71	1
72	1
73	1
74	1
75	1
76	2
77	1
78	1
79	1
80	1
81	1
82	1
83	2
84	0
85	1
86	1
87	0
88	1
89	2
90	1
91	0
92	1
93	0
94	0
95	1
96	1
97	1
98	1
99	1
100	1
101	2
102	0
103	1
104	2
105	0

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	0
7	0
8	1
9	1
10	0
11	1
12	1
13	1
14	0
15	0
16	1
17	1
18	1
19	1
20	0
21	0
22	0
23	1
24	0
25	1
26	1
27	0
28	0
29	2
30	0
31	0
32	1
33	0
34	0
35	1
36	2
37	1
38	1
39	1
40	0
41	2
42	0
43	1
44	1
45	2
46	0
47	1
48	1
49	2
50	1
51	1
52	1
53	1
54	0
55	1
56	1
57	0
58	1
59	2
60	0
61	1
62	0
63	1
64	1
65	1
66	0
67	1
68	1
69	0
70	0
71	1
72	1
73	1
74	1
75	1
76	2
77	1
78	1
79	1
80	1
81	1
82	1
83	2
84	0
85	1
86	1
87	0
88	1
89	2
90	1
91	0
92	1
93	0
94	0
95	1
96	1
97	1
98	1
99	1
100	1
101	2
102	0
103	1
104	2
105	0