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%I #4 Feb 13 2014 06:14:03
%S 81,300,1176,4480,17768,67152,263504,1002432,3967808,15017792,
%T 59024064,224325120,886756160,3358866432,13215441920,50194751488,
%U 198246798080,751303173120,2958100380672,11230764994560,44330876831744
%N Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 1 of A237779
%H R. H. Hardin, <a href="/A237772/b237772.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 188*a(n-4) +512*a(n-6) +336*a(n-8) -64*a(n-10) for n>13
%e Some solutions for n=5
%e ..1..1....0..2....0..2....0..0....2..0....1..0....2..2....1..2....2..1....0..0
%e ..1..0....0..1....1..2....0..2....0..2....1..0....0..2....1..0....2..1....2..0
%e ..0..2....1..0....0..1....1..0....1..1....0..2....0..1....1..1....0..1....1..0
%e ..1..2....0..0....0..1....1..1....0..1....0..2....0..1....0..2....0..1....1..1
%e ..0..1....1..1....1..2....2..1....2..0....1..1....2..0....2..1....1..2....2..0
%e ..2..2....0..2....2..1....2..2....2..0....0..1....2..1....0..0....2..1....0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 13 2014