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%I #3 Feb 12 2014 10:35:37
%S 76784,3160428,3160428,144512160,508303264,144512160,6244498728,
%T 81788657196,81788657196,6244498728,273236788672,13682554208420
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with the (lower) medians of each row and column unequal to its neighbors
%C Table starts
%C ......76784.....3160428...144512160.....6244498728.273236788672
%C ....3160428...508303264.81788657196.13682554208420
%C ..144512160.81788657196
%C .6244498728
%e Some solutions for n=1 k=4
%e ..0..0..0..3..2..2....0..0..2..1..3..1....0..0..1..2..1..2....0..0..1..0..1..0
%e ..1..0..1..2..1..2....1..0..0..3..3..0....1..0..0..3..0..1....1..0..1..3..3..3
%e ..1..0..1..0..0..1....1..0..1..2..1..2....1..0..1..1..1..2....1..0..0..2..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 12 2014