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%I #4 Jan 29 2014 14:57:37
%S 81,452,452,2608,3720,2608,14760,30352,30352,14760,84948,250708,
%T 368090,250708,84948,484400,2079296,4434788,4434788,2079296,484400,
%U 2771648,17174856,55108806,82202172,55108806,17174856,2771648,15802528,141244420
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock
%C Table starts
%C ........81.........452...........2608...........14760...........84948
%C .......452........3720..........30352..........250708.........2079296
%C ......2608.......30352.........368090.........4434788........55108806
%C .....14760......250708........4434788........82202172......1533811128
%C .....84948.....2079296.......55108806......1533811128.....44409371442
%C ....484400....17174856......664310024.....28390507456...1243675317240
%C ...2771648...141244420.....8131629834....520848836744..35244374739432
%C ..15802528..1164128912....98186159604...9689359336344.998449131759624
%C ..90361616..9621726624..1210293445866.180751835666464
%C .516384576.79482813380.14656239076752
%H R. H. Hardin, <a href="/A236669/b236669.txt">Table of n, a(n) for n = 1..84</a>
%F Empirical for column k:
%F k=1: a(n) = 2*a(n-1) +436*a(n-4) +888*a(n-5) +2304*a(n-6) +5760*a(n-7)
%F k=2: [order 15]
%e Some solutions for n=2 k=4
%e ..2..0..0..2..2....1..0..2..2..1....1..0..0..2..1....0..0..0..1..0
%e ..1..2..2..2..1....1..0..0..0..2....0..0..0..0..2....0..0..1..0..2
%e ..2..1..0..0..1....2..1..1..0..0....1..1..2..2..2....1..2..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 29 2014
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