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%I #4 Jan 30 2014 05:59:50
%S 81,426,426,2285,3188,2285,12076,23788,23788,12076,64277,178232,
%T 259396,178232,64277,340944,1338314,2832926,2832926,1338314,340944,
%U 1814328,10041714,31409880,46692992,31409880,10041714,1814328,9631020,75235940
%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 of every 2X2 subblock
%C Table starts
%C ........81.........426..........2285..........12076...........64277
%C .......426........3188.........23788.........178232.........1338314
%C ......2285.......23788........259396........2832926........31409880
%C .....12076......178232.......2832926.......46692992.......775050154
%C .....64277.....1338314......31409880......775050154.....19605710895
%C ....340944....10041714.....343725916....12823407292....488730626484
%C ...1814328....75235940....3791095422...211713828688..12281928596332
%C ...9631020...563994510...41527455416..3511115688000.307621332573176
%C ..51194672..4230366698..459098074574.58239156471582
%C .271870052.31726827262.5029066110784
%H R. H. Hardin, <a href="/A236704/b236704.txt">Table of n, a(n) for n = 1..84</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 13]
%F k=2: [order 36] for n>37
%e Some solutions for n=2 k=4
%e ..1..0..1..0..1....0..2..0..2..2....1..2..0..0..1....0..0..0..2..2
%e ..0..2..1..1..0....1..1..2..0..1....0..0..0..0..0....2..2..0..2..0
%e ..0..2..0..0..2....1..0..1..2..1....0..2..2..0..0....2..2..1..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 30 2014
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