A305802 - cp's OEIS frontend

A305802 Difference in number of prime factors (when counted with multiplicity) between GF(2)[X] (carryless binary) and ordinary factorization: a(n) = A091222(n) - A001222(n).

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

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

cp's OEIS Frontend

A305802 Difference in number of prime factors (when counted with multiplicity) between GF(2)[X] (carryless binary) and ordinary factorization: a(n) = A091222(n) - A001222(n).

Table of values

List of values

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

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

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