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%I #4 Jan 27 2014 05:04:28
%S 256,2632,2632,27458,54110,27458,284408,1116232,1116232,284408,
%T 2954930,23079872,46503900,23079872,2954930,30642966,477377520,
%U 1936913190,1936913190,477377520,30642966,318132117,9873995570,81160939773
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the maximum plus the minimum minus the lower median of every 2X2 subblock
%C Table starts
%C ........256.........2632.........27458.........284408........2954930
%C .......2632........54110.......1116232.......23079872......477377520
%C ......27458......1116232......46503900.....1936913190....81160939773
%C .....284408.....23079872....1936913190...164671652250.14038040966310
%C ....2954930....477377520...81160939773.14038040966310
%C ...30642966...9873995570.3386470375460
%C ..318132117.204198122306
%C .3300684904
%H R. H. Hardin, <a href="/A236505/b236505.txt">Table of n, a(n) for n = 1..40</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 34]
%e Some solutions for n=2 k=4
%e ..0..0..1..3..1....0..0..1..2..3....0..0..0..2..2....0..0..1..3..3
%e ..0..0..2..1..0....0..0..2..2..2....0..0..1..3..3....0..0..1..2..0
%e ..1..2..2..1..0....0..3..2..0..0....1..1..1..3..2....2..3..2..2..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 27 2014
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