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%I #4 Jan 13 2014 06:54:12
%S 16,52,52,160,276,160,476,1368,1368,476,1392,6378,11236,6378,1392,
%T 4020,28823,85700,85700,28823,4020,11520,126926,627189,1088450,627189,
%U 126926,11520,32828,550175,4396769,13349432,13349432,4396769,550175,32828,93200
%N T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the difference of the upper median and minimum value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise
%C Table starts
%C .....16.......52........160...........476............1392.............4020
%C .....52......276.......1368..........6378...........28823...........126926
%C ....160.....1368......11236.........85700..........627189..........4396769
%C ....476.....6378......85700.......1088450........13349432........156257766
%C ...1392....28823.....627189......13349432.......281088490.......5711803299
%C ...4020...126926....4396769.....156257766......5711803299.....206989047143
%C ..11520...550175...29920256....1760232169....111788667635....7311691586871
%C ..32828..2355552..198335901...19098030172...2095040366188..247906183652487
%C ..93200.10004536.1289725913..200821523820..37680708585967.8030471581876202
%C .263892.42235174.8254247466.2053582822620.651374573412998
%H R. H. Hardin, <a href="/A235660/b235660.txt">Table of n, a(n) for n = 1..112</a>
%F Empirical for column k:
%F k=1: a(n) = 4*a(n-1) -a(n-2) -8*a(n-3) +4*a(n-4)
%F k=2: [order 21]
%F k=3: [order 69]
%e Some solutions for n=3 k=4
%e ..0..1..0..1..1....0..1..1..1..1....1..0..0..0..1....0..1..1..1..1
%e ..0..0..1..0..0....1..0..1..0..1....0..0..0..1..0....0..1..0..1..0
%e ..1..1..1..1..1....1..1..1..1..0....0..0..1..1..1....1..1..1..1..1
%e ..0..0..0..0..1....0..1..0..1..0....1..1..0..1..0....0..1..0..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 13 2014
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