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%I #4 Jan 29 2014 06:41:10
%S 256,2858,2858,31944,69766,31944,358178,1705350,1705350,358178,
%T 4013896,41837888,91575854,41837888,4013896,44966244,1023837022,
%U 4933946082,4933946082,1023837022,44966244,503819820,25082040726,264737751595
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the maximum plus the upper median minus the minimum of every 2X2 subblock
%C Table starts
%C ........256.........2858..........31944.........358178........4013896
%C .......2858........69766........1705350.......41837888.....1023837022
%C ......31944......1705350.......91575854.....4933946082...264737751595
%C .....358178.....41837888.....4933946082...585446077352.69070033303330
%C ....4013896...1023837022...264737751595.69070033303330
%C ...44966244..25082040726.14235465951882
%C ..503819820.614719795538
%C .5645017984
%H R. H. Hardin, <a href="/A236588/b236588.txt">Table of n, a(n) for n = 1..39</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 42]
%e Some solutions for n=2 k=4
%e ..0..0..1..2..2....0..0..0..3..2....0..0..1..1..0....0..0..2..2..3
%e ..0..0..1..0..0....0..0..2..2..3....0..0..3..1..3....0..0..0..1..3
%e ..0..2..0..3..2....0..3..1..3..0....0..2..0..1..3....1..0..0..1..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 29 2014
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