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%I #4 Jan 29 2014 11:04:10
%S 484,4500,41980,394380,3668492,34234336,319904840,2991463632,
%T 27901011760,260484793448,2433205784152,22729004719568,
%U 212171486821248,1981136638265476,18502116150459608,172787369160052104
%N Number of (n+1)X(2+1) 0..2 arrays colored with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock
%C Column 2 of A236651
%H R. H. Hardin, <a href="/A236647/b236647.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 13*a(n-2) +184*a(n-3) +3506*a(n-4) +9110*a(n-5) +21587*a(n-6) +63605*a(n-7) -342128*a(n-8) -864643*a(n-9) +1140624*a(n-10) +294974*a(n-11) +739053*a(n-12) +15509266*a(n-13) -16660349*a(n-14) -37563062*a(n-15) +41074149*a(n-16) -39645704*a(n-17) -48556860*a(n-18) +140778823*a(n-19) -72899036*a(n-20) -67241570*a(n-21) +329687733*a(n-22) -46469782*a(n-23) -133466871*a(n-24) +319656720*a(n-25) -408928291*a(n-26) -40519358*a(n-27) +151099557*a(n-28) -160188966*a(n-29) +104521624*a(n-30) -63973040*a(n-31) -163603316*a(n-32) +759648*a(n-33) +12746672*a(n-34)
%e Some solutions for n=3
%e ..1..2..2....0..2..1....2..2..1....1..1..1....2..0..0....0..0..0....1..1..2
%e ..2..1..0....2..1..0....2..0..0....1..0..0....2..1..1....1..1..2....1..0..2
%e ..2..0..0....1..0..0....2..1..0....2..0..0....0..1..0....1..1..0....2..2..0
%e ..2..0..0....2..0..0....1..0..2....2..2..1....1..1..0....2..2..0....1..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 29 2014
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