A344687 - cp's OEIS frontend

A344687 a(n) is the lowest nonnegative exponent k such that n!^k is the product of the divisors of n!.

n	a(n)
1	0
2	1
3	2
4	4
5	8
6	15
7	30
8	48
9	80
10	135
11	270
12	396
13	792
14	1296
15	2016
16	2688
17	5376
18	7344
19	14688
20	20520
21	30400
22	48000
23	96000
24	121440
25	170016
26	266112
27	338688
28	458640
29	917280
30	1166400
31	2332800
32	2764800
33	3932160
34	6082560
35	8211456
36	9797760
37	19595520
38	30233088
39	42550272

[0, 1, 2, 4, 8, 15, 30, 48, 80, 135, 270, 396, 792, 1296, 2016, 2688, 5376, 7344, 14688, 20520, 30400, 48000, 96000, 121440, 170016, 266112, 338688, 458640, 917280, 1166400, 2332800, 2764800, 3932160, 6082560, 8211456, 9797760, 19595520, 30233088, 42550272]

cp's OEIS Frontend

A344687 a(n) is the lowest nonnegative exponent k such that n!^k is the product of the divisors of n!.

Table of values

List of values