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%I #5 Feb 06 2014 06:00:16
%S 256,1352,7398,42474,246644,1457838,8652288,51729960,309766574,
%T 1861078542,11188735904,67373917686,405827135812,2446512539772,
%U 14751429933454,88985114027282,536854786667932,3239769624524494
%N Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock equal
%C Column 1 of A237315
%H R. H. Hardin, <a href="/A237309/b237309.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 16*a(n-1) -1222*a(n-3) +4306*a(n-4) +37240*a(n-5) -215317*a(n-6) -540094*a(n-7) +5203112*a(n-8) +2292844*a(n-9) -76124580*a(n-10) +48925344*a(n-11) +731455664*a(n-12) -1009008048*a(n-13) -4767540048*a(n-14) +9634148480*a(n-15) +21068679040*a(n-16) -58279824064*a(n-17) -60171290304*a(n-18) +241589450496*a(n-19) +89789142784*a(n-20) -704484707584*a(n-21) +42074520064*a(n-22) +1448865873408*a(n-23) -538005643264*a(n-24) -2069440729088*a(n-25) +1288382918656*a(n-26) +1977460977664*a(n-27) -1703477510144*a(n-28) -1169175658496*a(n-29) +1362600230912*a(n-30) +349325819904*a(n-31) -643081306112*a(n-32) -6231949312*a(n-33) +161110032384*a(n-34) -21835546624*a(n-35) -16116613120*a(n-36) +3464495104*a(n-37)
%e Some solutions for n=4
%e ..1..0....1..1....2..0....2..2....3..1....3..3....2..2....1..3....2..1....3..2
%e ..2..0....2..1....2..1....0..0....1..3....3..3....0..1....3..0....1..1....0..1
%e ..0..0....0..0....0..2....2..1....2..1....0..0....1..2....3..1....2..2....1..3
%e ..2..0....2..0....2..1....2..1....2..2....2..3....2..0....2..3....1..1....2..0
%e ..0..0....1..0....0..2....1..1....3..2....1..1....1..1....1..3....1..0....1..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 06 2014
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