A055460 - cp's OEIS frontend

A055460 Number of primes with odd exponents in the prime power factorization of n!.

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

[0, 1, 2, 2, 3, 1, 2, 3, 3, 1, 2, 3, 4, 4, 4, 4, 5, 4, 5, 4, 6, 6, 7, 5, 5, 5, 6, 5, 6, 5, 6, 7, 9, 7, 7, 7, 8, 8, 8, 8, 9, 10, 11, 10, 9, 7, 8, 7, 7, 8, 10, 9, 10, 8, 10, 12, 14, 12, 13, 11, 12, 12, 11, 11, 13, 12, 13, 12, 12, 13, 14, 13, 14, 14, 15, 14, 14, 11, 12, 13, 13, 13, 14, 16, 16, 14]

cp's OEIS Frontend

A055460 Number of primes with odd exponents in the prime power factorization of n!.

Table of values

List of values

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

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

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