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%I #6 Feb 01 2014 07:23:48
%S 81,287,287,1069,1503,1069,4131,8117,8117,4131,16153,46023,61750,
%T 46023,16153,63867,260957,499947,499947,260957,63867,253269,1502355,
%U 4012441,5913287,4012441,1502355,253269,1008347,8629071,32940090,68777909
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock equal
%C Table starts
%C .......81........287.........1069...........4131............16153
%C ......287.......1503.........8117..........46023...........260957
%C .....1069.......8117........61750.........499947..........4012441
%C .....4131......46023.......499947........5913287.........68777909
%C ....16153.....260957......4012441.......68777909.......1152135751
%C ....63867....1502355.....32940090......826928057......20189154641
%C ...253269....8629071....268846043.....9850162103.....349860145439
%C ..1008347...49869905...2216853503...119172787543....6195176587117
%C ..4017129..287699673..18216556210..1434649920667..109117758402260
%C .16029051.1664594799.150477516769.17412329016137.1943713366918835
%H R. H. Hardin, <a href="/A236875/b236875.txt">Table of n, a(n) for n = 1..144</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 16]
%F k=2: [order 37]
%F k=3: [order 96]
%e Some solutions for n=3 k=4
%e ..0..0..0..1..2....0..1..2..0..2....0..1..1..0..0....0..0..2..2..1
%e ..2..0..2..1..0....1..2..2..2..2....1..0..2..1..1....1..1..1..2..2
%e ..1..1..1..0..1....2..2..2..0..2....0..1..1..0..0....2..1..2..2..2
%e ..0..0..0..1..2....0..2..0..0..0....1..0..2..1..1....0..1..0..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 01 2014
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