%I #4 Jan 16 2013 16:20:43

%S 1,2,2,6,2,6,24,12,12,24,120,216,12,216,120,720,5280,576,576,5280,720,

%T 5040,190800,66240,576,66240,190800,5040,40320,9344160,15321600,

%U 161280,161280,15321600,9344160,40320,362880,598066560,5411750400,283046400

%N T(n,k)=Number of nXk 1..(max n,k) arrays with each row and column having unrepeated values

%C Table starts

%C ....1.......2..........6...........24............120............720

%C ....2.......2.........12..........216...........5280.........190800

%C ....6......12.........12..........576..........66240.......15321600

%C ...24.....216........576..........576.........161280......283046400

%C ..120....5280......66240.......161280.........161280......812851200

%C ..720..190800...15321600....283046400......812851200......812851200

%C .5040.9344160.5411750400.782137036800.20449013760000.61479419904000

%H R. H. Hardin, <a href="/A221438/b221438.txt">Table of n, a(n) for n = 1..83</a>

%e Some solutions for n=3 k=4

%e ..4..1..3..2....3..1..4..2....1..2..4..3....3..4..2..1....2..3..4..1

%e ..2..3..4..1....1..3..2..4....3..4..1..2....1..2..3..4....1..4..3..2

%e ..1..4..2..3....2..4..3..1....2..1..3..4....2..1..4..3....3..2..1..4

%Y Diagonal is A002860

%Y Column 1 is A000142

%Y Column 2 is A082491

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Jan 16 2013