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%I #4 Jan 18 2014 18:04:33
%S 256,2404,2404,22994,42264,22994,218568,722548,722548,218568,2089160,
%T 12435076,21941716,12435076,2089160,19942272,215833320,674450852,
%U 674450852,215833320,19942272,190367530,3742165712,21249328546
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the difference of the upper median and the lower median in each 2X2 subblock
%C Table starts
%C ........256........2404........22994........218568.......2089160
%C .......2404.......42264.......722548......12435076.....215833320
%C ......22994......722548.....21941716.....674450852...21249328546
%C .....218568....12435076....674450852...38512116748.2269448820024
%C ....2089160...215833320..21249328546.2269448820024
%C ...19942272..3742165712.666177945884
%C ..190367530.64753334132
%C .1816294128
%H R. H. Hardin, <a href="/A236041/b236041.txt">Table of n, a(n) for n = 1..40</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 17]
%F k=2: [order 87]
%e Some solutions for n=2 k=4
%e ..0..0..2..0..1....0..0..2..2..1....0..0..1..1..3....0..0..3..3..0
%e ..0..1..3..0..1....0..1..2..0..0....0..1..0..2..3....0..0..3..1..0
%e ..2..0..3..2..1....2..3..2..0..1....0..1..3..3..3....2..2..3..1..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 18 2014
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