|
Search: id:A057599
|
|
|
| A057599 |
|
(n^2)!/(n!)^(n+1); number of ways of dividing n^2 labeled items into n unlabeled boxes of n items each. |
|
+0
5
|
|
| 1, 1, 3, 280, 2627625, 5194672859376, 3708580189773818399040, 1461034854396267778567973305958400, 450538787986875167583433232345723106006796340625
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
Note that if n=p^k for p prime then a(n) is coprime to n (i.e. a(n) is not divisible by p)
|
|
FORMULA
|
a(n)=A034841(n)/A000142(n)
|
|
EXAMPLE
|
a(2)=3 since the possibilities are {{0,1},{2,3}}; {{0,2},{1,3}}; and {{0,3},{1,2}}.
|
|
CROSSREFS
|
Sequence in context: A003706 A068250 A096126 this_sequence A054583 A139984 A057631
Adjacent sequences: A057596 A057597 A057598 this_sequence A057600 A057601 A057602
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Henry Bottomley (se16(AT)btinternet.com), Oct 06 2000
|
|
|
Search completed in 0.002 seconds
|
