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%I #4 Feb 17 2014 12:36:53
%S 256,1592,1592,9884,14456,9884,59772,132316,132316,59772,378708,
%T 1191324,1781008,1191324,378708,2285576,10449784,19616408,19616408,
%U 10449784,2285576,14349272,92535056,242829762,336372000,242829762,92535056
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Table starts
%C ........256.........1592...........9884.............59772..............378708
%C .......1592........14456.........132316...........1191324............10449784
%C .......9884.......132316........1781008..........19616408...........242829762
%C ......59772......1191324.......19616408.........336372000..........6222330452
%C .....378708.....10449784......242829762........6222330452........182752988334
%C ....2285576.....92535056.....2981477664......119781203860.......5032066269920
%C ...14349272....831852752....39928365220.....2220366275092.....146517793924666
%C ...86693008...7439225960...464223535984....40590407292556....4129457221662176
%C ..546582828..65951303220..5897707478324...760523734925120..123794073907866626
%C .3300593268.586352178784.71387175302572.14540553425940596.3439338548069808556
%H R. H. Hardin, <a href="/A238081/b238081.txt">Table of n, a(n) for n = 1..144</a>
%F Empirical for column k:
%F k=1: a(n) = 17*a(n-2) +736*a(n-4) +2353*a(n-6) +2483*a(n-8) +800*a(n-10) for n>11
%F k=2: [order 25] for n>26
%F k=3: [order 60] for n>63
%e Some solutions for n=2 k=4
%e ..0..0..0..0..1....1..1..0..2..2....1..0..1..2..2....0..1..3..0..2
%e ..2..1..0..0..0....1..1..0..2..1....0..2..3..2..1....2..3..3..1..0
%e ..2..2..1..0..2....1..2..1..3..3....1..3..1..0..2....1..2..2..1..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 17 2014
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