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%I #4 Jan 29 2014 07:35:24
%S 426,3056,21814,157852,1148940,8334390,60321850,437145312,3170639968,
%T 22986654954,166589069278,1207529662436,8754117362818,63459178604360,
%U 459991788481964,3334414119424578,24171289384341708,175216213885020152
%N Number of (n+1)X(2+1) 0..2 arrays colored with the maximum plus the lower median minus the minimum of every 2X2 subblock
%C Column 2 of A236610
%H R. H. Hardin, <a href="/A236605/b236605.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 109*a(n-3) +1108*a(n-4) +3889*a(n-5) +14249*a(n-6) +28939*a(n-7) -17127*a(n-8) -172863*a(n-9) -670167*a(n-10) -1382408*a(n-11) +296591*a(n-12) +5438289*a(n-13) +11641832*a(n-14) +10730212*a(n-15) -21846848*a(n-16) -68907209*a(n-17) -54295868*a(n-18) +70288829*a(n-19) +252018085*a(n-20) +188974573*a(n-21) -282707596*a(n-22) -660413331*a(n-23) -256622389*a(n-24) +810114857*a(n-25) +1019574008*a(n-26) -356795815*a(n-27) -1213300047*a(n-28) -175143480*a(n-29) +813009083*a(n-30) +323733104*a(n-31) -352983365*a(n-32) -223632713*a(n-33) +75053692*a(n-34) +107006082*a(n-35) -5715579*a(n-36) -24600924*a(n-37) +5658819*a(n-38) -2140420*a(n-39) -1011228*a(n-40) -5680*a(n-41) +2176*a(n-42)
%e Some solutions for n=4
%e ..1..0..2....0..2..0....0..2..1....1..1..0....0..0..2....0..2..2....1..0..1
%e ..0..2..1....1..2..2....2..1..2....1..0..0....0..1..1....0..0..1....2..2..0
%e ..1..1..2....1..2..1....2..1..0....1..0..0....2..1..2....0..0..2....2..2..1
%e ..2..2..0....0..2..1....0..2..0....2..0..1....1..2..0....2..1..2....0..2..1
%e ..1..0..0....2..0..1....0..2..2....2..2..2....2..0..1....2..2..1....0..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 29 2014
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