A373976 - cp's OEIS frontend

A373976 a(n) = A001222(n) - A001222(A001414(n)), where A001222 is bigomega, the number of prime factors with multiplicity, and A001414 is sopfr, sum of prime factors with multiplicity. a(1) = 0 by convention.

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

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

cp's OEIS Frontend

A373976 a(n) = A001222(n) - A001222(A001414(n)), where A001222 is bigomega, the number of prime factors with multiplicity, and A001414 is sopfr, sum of prime factors with multiplicity. a(1) = 0 by convention.

Table of values

List of values

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

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

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