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%I #4 Feb 07 2014 04:58:22
%S 81,288,288,1024,1164,1024,3840,4760,4760,3840,14400,20812,22676,
%T 20812,14400,53760,90528,116880,116880,90528,53760,200704,393456,
%U 597492,723928,597492,393456,200704,752640,1707488,3049632,4429368,4429368,3049632
%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 plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Table starts
%C .......81.......288.......1024........3840........14400.........53760
%C ......288......1164.......4760.......20812........90528........393456
%C .....1024......4760......22676......116880.......597492.......3049632
%C .....3840.....20812.....116880......723928......4429368......27053348
%C ....14400.....90528.....597492.....4429368.....32296444.....234383800
%C ....53760....393456....3049632....27053348....234383800....2025855560
%C ...200704...1707488...15573476...165467520...1707821384...17548046424
%C ...752640...7460608...80201408..1026092552..12676271720..155695765032
%C ..2822400..32509760..411286836..6319203136..93083424892.1358174204976
%C .10536960.141269808.2099304960.38680736568.676587278680
%H R. H. Hardin, <a href="/A237375/b237375.txt">Table of n, a(n) for n = 1..112</a>
%F Empirical for column k:
%F k=1: a(n) = 196*a(n-4) for n>6
%F k=2: a(n) = 370*a(n-4) -3916*a(n-8) +6904*a(n-12) -1984*a(n-16) for n>18
%F k=3: [order 92] for n>94
%e Some solutions for n=3 k=4
%e ..1..1..2..0..1....2..0..2..0..1....1..0..1..1..1....0..2..0..2..2
%e ..2..1..2..1..2....1..1..0..2..0....0..0..1..0..2....2..1..1..2..0
%e ..0..1..1..0..2....1..2..1..0..0....0..2..0..1..0....0..1..2..1..2
%e ..2..2..0..2..0....1..0..0..1..0....1..0..2..0..1....2..0..1..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 07 2014
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