A336386 - cp's OEIS frontend

A336386 a(n) = bigomega(sigma(n)) - bigomega(n), where bigomega (A001222) gives the number of prime factors with multiplicity, and sigma (A000203) gives the sum of divisors.

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

[0, 0, 1, -1, 1, 1, 2, -1, -1, 1, 2, 0, 1, 2, 2, -3, 2, -1, 2, 0, 3, 2, 3, 0, -1, 1, 1, 1, 2, 2, 4, -2, 3, 2, 3, -2, 1, 2, 2, 0, 2, 3, 2, 1, 0, 3, 4, -2, 0, -1, 3, 0, 3, 1, 3, 1, 3, 2, 3, 1, 1, 4, 1, -5, 2, 3, 2, 1, 4, 3, 4, -2, 1, 1, 0, 1, 4, 2, 4, -2, -2, 2, 3, 2, 3, 2, 3, 1, 3, 0, 3, 2, 5, 4, 3, -1, 2, 0, 1, -2, 2, 3, 3, 0, 4]

cp's OEIS Frontend

A336386 a(n) = bigomega(sigma(n)) - bigomega(n), where bigomega (A001222) gives the number of prime factors with multiplicity, and sigma (A000203) gives the sum of divisors.

Table of values

List of values

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

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

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