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%I #4 Jan 30 2014 06:47:25
%S 81,211,550,1517,4227,12072,34817,101881,300694,896941,2695583,
%T 8170608,24926541,76581709,236571526,735006969,2293934715,7192276024,
%U 22632537625,71477629985,226390525302,719056784565,2288987001383,7302243641824
%N Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal
%C Column 1 of A236728
%H R. H. Hardin, <a href="/A236721/b236721.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) +12*a(n-2) -177*a(n-3) +89*a(n-4) +1806*a(n-5) -2318*a(n-6) -9698*a(n-7) +16880*a(n-8) +30048*a(n-9) -63832*a(n-10) -54640*a(n-11) +140752*a(n-12) +54864*a(n-13) -184064*a(n-14) -22784*a(n-15) +135936*a(n-16) -4480*a(n-17) -48640*a(n-18) +5120*a(n-19) +5120*a(n-20)
%e Some solutions for n=7
%e ..0..1....0..1....1..1....2..0....1..0....1..0....0..0....0..1....1..0....1..1
%e ..1..2....2..1....0..2....0..2....1..1....2..1....1..2....1..1....2..1....1..2
%e ..2..1....1..2....0..2....1..1....1..0....1..2....0..0....2..1....1..2....0..0
%e ..2..1....2..1....1..1....2..0....0..2....2..1....1..2....1..1....1..2....1..2
%e ..1..2....2..1....2..0....2..0....0..1....2..1....0..0....1..0....1..2....0..0
%e ..1..2....0..1....2..0....1..1....1..1....2..1....2..1....2..0....0..1....2..1
%e ..2..1....1..2....1..1....2..0....0..1....1..2....1..1....0..1....2..1....0..0
%e ..0..1....0..1....2..2....2..0....1..1....0..1....2..1....1..1....0..1....1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 30 2014
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