%I #4 Feb 12 2014 09:31:43
%S 68,290,290,1412,7552,1412,5708,39842,39842,5708,25832,938176,608372,
%T 938176,25832,103538,5871266,12331252,12331252,5871266,103538,447332,
%U 119520256,213982232,1727378144,213982232,119520256,447332,1790084
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with the (lower) medians of each row equal and of each column equal
%C Table starts
%C .......68...........290............1412...............5708..............25832
%C ......290..........7552...........39842.............938176............5871266
%C .....1412.........39842..........608372...........12331252..........213982232
%C .....5708........938176........12331252.........1727378144........27738515408
%C ....25832.......5871266.......213982232........27738515408......1405996950752
%C ...103538.....119520256......3813889762......3276185440256....135526127886578
%C ...447332.....847692866.....67892256692.....62580997848692...8101710521927192
%C ..1790084...15310585024...1145451277532...6267389933189344.662870061789157280
%C ..7524728..118493356610..20262099994952.137204103504548368
%C .30101684.1955650250944.333280098908492
%H R. H. Hardin, <a href="/A237745/b237745.txt">Table of n, a(n) for n = 1..83</a>
%e Some solutions for n=2 k=4
%e ..0..0..0..0..0..1....0..0..0..0..1..0....0..0..0..0..0..0....0..0..0..0..0..1
%e ..0..0..0..0..1..0....0..1..0..0..0..1....1..0..1..1..0..0....1..1..0..0..0..1
%e ..0..1..0..0..0..1....0..0..1..0..1..1....0..0..1..0..0..0....0..0..1..0..1..0
%e ..0..0..0..1..1..0....0..0..1..0..0..0....0..0..0..1..0..1....0..1..1..0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 12 2014