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%I #4 Jan 29 2014 11:06:56
%S 81,484,484,2932,4500,2932,17824,41980,41980,17824,108272,394380,
%T 608656,394380,108272,655100,3668492,8891884,8891884,3668492,655100,
%U 3970468,34234336,128476048,204824360,128476048,34234336,3970468,24093844
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock
%C Table starts
%C ........81.........484.........2932.........17824........108272........655100
%C .......484........4500........41980........394380.......3668492......34234336
%C ......2932.......41980.......608656.......8891884.....128476048....1869749396
%C .....17824......394380......8891884.....204824360....4639468308..106762847796
%C ....108272.....3668492....128476048....4639468308..164401921546.5963465890608
%C ....655100....34234336...1869749396..106762847796.5963465890608
%C ...3970468...319904840..27242456824.2451445050484
%C ..24093844..2991463632.396368005036
%C .146112996.27901011760
%C .885471428
%H R. H. Hardin, <a href="/A236651/b236651.txt">Table of n, a(n) for n = 1..60</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 11]
%F k=2: [order 38] for n>39
%e Some solutions for n=2 k=4
%e ..0..0..2..0..2....0..2..0..0..1....0..0..1..0..2....0..1..1..2..1
%e ..1..0..2..2..0....2..0..0..1..0....2..0..2..1..0....0..1..1..0..2
%e ..0..2..2..1..0....0..1..0..1..1....0..2..2..0..0....2..0..0..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 29 2014
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