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%I #4 Feb 12 2014 07:39:33
%S 144,790,790,3720,13259,3720,18284,105639,105639,18284,83776,1707200,
%T 1659924,1707200,83776,389862,13980344,38387146,38387146,13980344,
%U 389862,1747320,219064013,639694176,3285354224,639694176,219064013,1747320
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with the (lower) median of each row and column nondecreasing
%C Table starts
%C .......144...........790...........3720.............18284.............83776
%C .......790.........13259.........105639...........1707200..........13980344
%C ......3720........105639........1659924..........38387146.........639694176
%C .....18284.......1707200.......38387146........3285354224.......78198241984
%C .....83776......13980344......639694176.......78198241984.....4209480134144
%C ....389862.....219064013....13279334007.....6351885785786...429611650170264
%C ...1747320....1853523145...226316321580...159454491881910.25303989249262240
%C ...7872964...28043965682..4405469041518.12257643095551296
%C ..34692768..244945512750.75639307776048
%C .153039484.3576754641447
%H R. H. Hardin, <a href="/A237738/b237738.txt">Table of n, a(n) for n = 1..71</a>
%e Some solutions for n=2 k=4
%e ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
%e ..1..0..0..1..0..0....1..1..0..0..1..0....0..0..0..1..0..0....1..1..0..0..0..1
%e ..0..1..0..0..0..1....0..0..0..0..1..1....0..1..0..1..0..1....0..0..1..0..0..1
%e ..0..1..1..0..1..0....1..1..0..0..0..0....1..0..1..0..1..1....0..0..0..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 12 2014
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