%I #4 Feb 09 2014 06:09:36
%S 3470,53831,53831,845952,3203193,845952,11887072,143951490,143951490,
%T 11887072,179403984,7420279118,30191128785,7420279118,179403984,
%U 2431745813,324957818406,4507667952676,4507667952676,324957818406
%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with the (lower) median of each row and column nondecreasing
%C Table starts
%C .......3470........53831........845952......11887072.......179403984
%C ......53831......3203193.....143951490....7420279118....324957818406
%C .....845952....143951490...30191128785.4507667952676.915350182586052
%C ...11887072...7420279118.4507667952676
%C ..179403984.324957818406
%C .2431745813
%H R. H. Hardin, <a href="/A237548/b237548.txt">Table of n, a(n) for n = 1..24</a>
%e Some solutions for n=1 k=1
%e ..2..0..1....0..1..2....1..1..2....2..0..1....0..1..2....1..0..2....1..0..1
%e ..0..1..1....1..2..0....1..0..2....0..1..1....1..1..2....1..2..1....1..2..1
%e ..0..1..1....0..1..1....1..2..0....1..2..2....2..0..1....1..1..1....0..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 09 2014