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%I #4 Feb 17 2014 07:19:26
%S 20,74,146,212,310,260,828,12722,4730,1820,2312,32502,38612,10362,
%T 3752,9178,1147442,793252,2176212,325418,24818,25652,3283862,5924312,
%U 11523584,8433752,677750,56612,102356,104956562,126809722,2708828768,896174928
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with the (lower) medians of each row unequal to its neighbors and each column equal to its neighbors
%C Table starts
%C ......20.........74..........212...........828...........2312............9178
%C .....146........310........12722.........32502........1147442.........3283862
%C .....260.......4730........38612........793252........5924312.......126809722
%C ....1820......10362......2176212......11523584.....2708828768.....16591451786
%C ....3752.....325418......8433752.....896174928....19549318112...2245175385658
%C ...24818.....677750....428504162....6030131286..7737722889458.111990180682454
%C ...56612...21958106...1974653492.1025754609412.70847540686232
%C ..355364...53790778..90867483692.4990295869136
%C ..872600.1439629634.477384762152
%C .5238356.4161478414
%H R. H. Hardin, <a href="/A238026/b238026.txt">Table of n, a(n) for n = 1..72</a>
%e Some solutions for n=3 k=4
%e ..0..1..0..1..1..1....0..0..0..1..0..1....0..1..0..0..0..0....0..0..1..1..1..1
%e ..0..1..1..0..0..1....1..1..1..0..0..1....1..0..1..1..0..1....1..0..0..1..0..0
%e ..1..0..0..1..1..1....0..1..1..0..1..0....0..0..0..0..0..0....1..1..1..1..0..1
%e ..1..0..1..0..1..0....1..1..1..1..1..1....0..1..0..1..1..1....1..1..0..0..1..0
%e ..1..1..1..1..1..1....1..0..0..1..1..0....1..0..1..0..0..0....0..1..1..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 17 2014
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