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%I #4 Feb 03 2014 05:57:32
%S 303,1735,10466,66831,428497,2832722,18682733,125843583,844258374,
%T 5747581507,38959859799,266780373966,1819543862147,12497585083387,
%U 85550631105026,588510997758869,4037376346765561,27793795792256912
%N Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock equal
%C Column 2 of A237099
%H R. H. Hardin, <a href="/A237093/b237093.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 17*a(n-1) -33*a(n-2) -942*a(n-3) +5519*a(n-4) +9822*a(n-5) -147568*a(n-6) +170826*a(n-7) +1482255*a(n-8) -3807734*a(n-9) -6026381*a(n-10) +27536576*a(n-11) +4621373*a(n-12) -101103639*a(n-13) +39805818*a(n-14) +215531556*a(n-15) -144788130*a(n-16) -282774890*a(n-17) +228947844*a(n-18) +232233520*a(n-19) -197348088*a(n-20) -116570680*a(n-21) +94032480*a(n-22) +32544624*a(n-23) -22765248*a(n-24) -3769056*a(n-25) +2180160*a(n-26)
%e Some solutions for n=4
%e ..1..1..1....2..1..1....0..1..0....0..1..1....2..0..0....2..0..1....1..0..1
%e ..2..1..2....1..2..2....0..2..0....1..2..1....0..1..2....1..0..0....2..0..0
%e ..2..2..2....2..0..1....1..0..1....0..1..0....0..2..0....0..2..1....1..2..1
%e ..1..2..0....0..1..1....0..2..2....2..1..2....0..1..2....0..1..2....0..2..0
%e ..1..1..1....2..0..1....2..1..0....0..1..0....2..0..2....0..2..0....2..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 03 2014
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