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%I #5 Jan 30 2014 06:27:23
%S 81,398,1940,9608,47952,237952,1181504,5866176,29136768,144679680,
%T 718521728,3568103296,17719157632,87992364672,436975643520,
%U 2170012116096,10776237000576,53514684402816,265754308813696,1319733513668736
%N Number of (n+1)X(1+1) 0..2 arrays colored with the maximum plus the lower median of every 2X2 subblock
%C Column 1 of A236719
%H R. H. Hardin, <a href="/A236712/b236712.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 30*a(n-3) +269*a(n-4) +514*a(n-5) +1680*a(n-6) +2568*a(n-7) -364*a(n-8) +264*a(n-9) -19856*a(n-10) -31072*a(n-11) -40512*a(n-12) -74112*a(n-13) -34048*a(n-14) -33280*a(n-15) -20480*a(n-16)
%e Some solutions for n=5
%e ..1..1....0..2....0..0....2..1....2..1....1..0....2..2....1..0....2..1....1..0
%e ..0..1....1..0....2..2....2..0....2..0....0..0....0..0....0..2....0..1....0..0
%e ..2..1....0..1....2..1....2..0....0..1....2..2....1..0....2..2....0..1....2..2
%e ..2..2....0..2....1..2....1..1....1..0....1..2....0..2....1..0....1..1....2..0
%e ..1..0....2..2....2..2....1..1....1..1....0..0....1..1....2..0....2..0....1..1
%e ..1..0....1..0....0..0....2..0....2..1....1..1....1..1....2..1....0..2....0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 30 2014
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