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%I #4 Feb 12 2014 07:01:35
%S 81,348,1510,6610,28877,125428,545952,2381432,10387640,45202024,
%T 196926732,858105896,3741077036,16288858480,70985020400,309213392896,
%U 1347842152080,5869702992128,25582079644992,111424176258848
%N Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 1 of A237730
%H R. H. Hardin, <a href="/A237723/b237723.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 272*a(n-4) +1668*a(n-6) +172*a(n-8) +16*a(n-10) for n>13
%e Some solutions for n=5
%e ..1..1....1..0....0..1....1..1....2..2....1..1....1..2....1..1....1..1....2..1
%e ..1..0....2..2....0..1....0..2....2..1....1..1....0..1....1..1....1..1....2..2
%e ..1..2....0..2....0..0....1..0....2..1....2..0....0..2....1..2....2..1....0..1
%e ..2..1....2..1....2..0....0..1....0..1....0..1....0..0....0..2....2..1....1..0
%e ..1..0....0..1....2..1....1..1....0..2....2..1....0..1....2..2....1..0....1..1
%e ..1..1....2..0....1..0....2..1....0..0....2..0....1..2....1..1....1..1....2..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 12 2014
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