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%I #4 Feb 11 2014 17:48:12
%S 81,310,310,1186,1524,1186,4700,7562,7562,4700,18612,39236,49152,
%T 39236,18612,73176,201754,333508,333508,201754,73176,287924,1033140,
%U 2234136,3004030,2234136,1033140,287924,1136084,5302002,14991412,26578184
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Table starts
%C .......81.......310........1186..........4700..........18612...........73176
%C ......310......1524........7562.........39236.........201754.........1033140
%C .....1186......7562.......49152........333508........2234136........14991412
%C .....4700.....39236......333508.......3004030.......26578184.......236841050
%C ....18612....201754.....2234136......26578184......308509816......3627304236
%C ....73176...1033140....14991412.....236841050.....3627304236.....56673321434
%C ...287924...5302002...100790676....2109752772....42553713552....881109625356
%C ..1136084..27377802...681668756...18967505282...505071086000..13907965601602
%C ..4482952.140907656..4585208960..169027123272..5922294787728.216097927856396
%C .17653056.723464076.30833533736.1509396722124.69775606782180
%H R. H. Hardin, <a href="/A237703/b237703.txt">Table of n, a(n) for n = 1..112</a>
%e Some solutions for n=3 k=4
%e ..0..1..2..0..0....0..0..2..1..2....0..1..2..1..1....0..2..1..1..0
%e ..1..2..0..2..1....2..0..1..0..2....1..2..1..0..1....0..1..1..0..1
%e ..0..2..2..1..0....0..1..0..2..0....0..0..1..1..0....2..1..1..0..0
%e ..2..0..1..0..2....1..0..2..0..1....2..2..2..0..2....2..1..2..0..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 11 2014
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