A056044 - cp's OEIS frontend

A056044 Let k be the largest number such that k^2 divides n! and let m be the largest number such that m!^2 divides n!; a(n) = k/m!.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	3
10	1
11	1
12	2
13	2
14	2
15	6
16	3
17	3
18	2
19	2
20	2
21	2
22	2
23	2
24	2
25	10
26	10
27	30
28	2
29	2
30	12
31	12
32	3
33	3
34	6
35	30
36	10
37	10
38	10
39	30
40	6
41	6
42	2
43	2
44	2
45	30
46	60
47	60
48	30
49	210
50	42
51	42
52	42
53	42
54	1
55	1
56	2
57	2
58	4
59	4
60	4
61	4
62	4
63	84
64	21
65	21
66	14
67	14
68	14
69	42
70	6
71	6
72	2
73	2
74	2
75	10
76	10
77	70
78	140
79	140
80	14
81	126
82	3
83	3
84	6
85	30

[1, 1, 1, 1, 1, 2, 2, 1, 3, 1, 1, 2, 2, 2, 6, 3, 3, 2, 2, 2, 2, 2, 2, 2, 10, 10, 30, 2, 2, 12, 12, 3, 3, 6, 30, 10, 10, 10, 30, 6, 6, 2, 2, 2, 30, 60, 60, 30, 210, 42, 42, 42, 42, 1, 1, 2, 2, 4, 4, 4, 4, 4, 84, 21, 21, 14, 14, 14, 42, 6, 6, 2, 2, 2, 10, 10, 70, 140, 140, 14, 126, 3, 3, 6, 30]

cp's OEIS Frontend

A056044 Let k be the largest number such that k^2 divides n! and let m be the largest number such that m!^2 divides n!; a(n) = k/m!.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	3
10	1
11	1
12	2
13	2
14	2
15	6
16	3
17	3
18	2
19	2
20	2
21	2
22	2
23	2
24	2
25	10
26	10
27	30
28	2
29	2
30	12
31	12
32	3
33	3
34	6
35	30
36	10
37	10
38	10
39	30
40	6
41	6
42	2
43	2
44	2
45	30
46	60
47	60
48	30
49	210
50	42
51	42
52	42
53	42
54	1
55	1
56	2
57	2
58	4
59	4
60	4
61	4
62	4
63	84
64	21
65	21
66	14
67	14
68	14
69	42
70	6
71	6
72	2
73	2
74	2
75	10
76	10
77	70
78	140
79	140
80	14
81	126
82	3
83	3
84	6
85	30

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	3
10	1
11	1
12	2
13	2
14	2
15	6
16	3
17	3
18	2
19	2
20	2
21	2
22	2
23	2
24	2
25	10
26	10
27	30
28	2
29	2
30	12
31	12
32	3
33	3
34	6
35	30
36	10
37	10
38	10
39	30
40	6
41	6
42	2
43	2
44	2
45	30
46	60
47	60
48	30
49	210
50	42
51	42
52	42
53	42
54	1
55	1
56	2
57	2
58	4
59	4
60	4
61	4
62	4
63	84
64	21
65	21
66	14
67	14
68	14
69	42
70	6
71	6
72	2
73	2
74	2
75	10
76	10
77	70
78	140
79	140
80	14
81	126
82	3
83	3
84	6
85	30

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	3
10	1
11	1
12	2
13	2
14	2
15	6
16	3
17	3
18	2
19	2
20	2
21	2
22	2
23	2
24	2
25	10
26	10
27	30
28	2
29	2
30	12
31	12
32	3
33	3
34	6
35	30
36	10
37	10
38	10
39	30
40	6
41	6
42	2
43	2
44	2
45	30
46	60
47	60
48	30
49	210
50	42
51	42
52	42
53	42
54	1
55	1
56	2
57	2
58	4
59	4
60	4
61	4
62	4
63	84
64	21
65	21
66	14
67	14
68	14
69	42
70	6
71	6
72	2
73	2
74	2
75	10
76	10
77	70
78	140
79	140
80	14
81	126
82	3
83	3
84	6
85	30