A056672 - cp's OEIS frontend

A056672 Number of unitary and squarefree divisors of n! Also, number of divisors of the special squarefree part of n!, A055773(n).

n	a(n)
1	1
2	2
3	4
4	2
5	4
6	2
7	4
8	4
9	4
10	2
11	4
12	4
13	8
14	4
15	4
16	4
17	8
18	8
19	16
20	16
21	16
22	8
23	16
24	16
25	16
26	8
27	8
28	8
29	16
30	16
31	32
32	32
33	32
34	16
35	16
36	16
37	32
38	16
39	16
40	16
41	32
42	32
43	64
44	64
45	64
46	32
47	64
48	64
49	64
50	64
51	64
52	64
53	128
54	128
55	128
56	128
57	128
58	64
59	128
60	128
61	256
62	128
63	128
64	128
65	128
66	128
67	256
68	256
69	256
70	256

[1, 2, 4, 2, 4, 2, 4, 4, 4, 2, 4, 4, 8, 4, 4, 4, 8, 8, 16, 16, 16, 8, 16, 16, 16, 8, 8, 8, 16, 16, 32, 32, 32, 16, 16, 16, 32, 16, 16, 16, 32, 32, 64, 64, 64, 32, 64, 64, 64, 64, 64, 64, 128, 128, 128, 128, 128, 64, 128, 128, 256, 128, 128, 128, 128, 128, 256, 256, 256, 256]

cp's OEIS Frontend

A056672 Number of unitary and squarefree divisors of n! Also, number of divisors of the special squarefree part of n!, A055773(n).

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	2
5	4
6	2
7	4
8	4
9	4
10	2
11	4
12	4
13	8
14	4
15	4
16	4
17	8
18	8
19	16
20	16
21	16
22	8
23	16
24	16
25	16
26	8
27	8
28	8
29	16
30	16
31	32
32	32
33	32
34	16
35	16
36	16
37	32
38	16
39	16
40	16
41	32
42	32
43	64
44	64
45	64
46	32
47	64
48	64
49	64
50	64
51	64
52	64
53	128
54	128
55	128
56	128
57	128
58	64
59	128
60	128
61	256
62	128
63	128
64	128
65	128
66	128
67	256
68	256
69	256
70	256

n	a(n)
1	1
2	2
3	4
4	2
5	4
6	2
7	4
8	4
9	4
10	2
11	4
12	4
13	8
14	4
15	4
16	4
17	8
18	8
19	16
20	16
21	16
22	8
23	16
24	16
25	16
26	8
27	8
28	8
29	16
30	16
31	32
32	32
33	32
34	16
35	16
36	16
37	32
38	16
39	16
40	16
41	32
42	32
43	64
44	64
45	64
46	32
47	64
48	64
49	64
50	64
51	64
52	64
53	128
54	128
55	128
56	128
57	128
58	64
59	128
60	128
61	256
62	128
63	128
64	128
65	128
66	128
67	256
68	256
69	256
70	256

n	a(n)
1	1
2	2
3	4
4	2
5	4
6	2
7	4
8	4
9	4
10	2
11	4
12	4
13	8
14	4
15	4
16	4
17	8
18	8
19	16
20	16
21	16
22	8
23	16
24	16
25	16
26	8
27	8
28	8
29	16
30	16
31	32
32	32
33	32
34	16
35	16
36	16
37	32
38	16
39	16
40	16
41	32
42	32
43	64
44	64
45	64
46	32
47	64
48	64
49	64
50	64
51	64
52	64
53	128
54	128
55	128
56	128
57	128
58	64
59	128
60	128
61	256
62	128
63	128
64	128
65	128
66	128
67	256
68	256
69	256
70	256