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%I #9 Oct 22 2018 01:37:56
%S 81,344,1488,6496,28176,121088,523776,2286592,9917952,42622976,
%T 184369152,804880384,3491119104,15003287552,64897941504,283317895168,
%U 1228873924608,5281157218304,22844075409408,99727899099136,432563621462016
%N Number of (n+1) X (1+1) 0..2 arrays with the maximum plus the upper median minus the lower median minus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.
%H R. H. Hardin, <a href="/A237242/b237242.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 352*a(n-4) for n>5.
%F Empirical g.f.: x*(81 + 344*x + 1488*x^2 + 6496*x^3 - 336*x^4) / (1 - 352*x^4). - _Colin Barker_, Oct 21 2018
%e Some solutions for n=5:
%e ..1..1....1..2....1..1....2..0....1..1....1..1....0..1....2..0....1..2....2..0
%e ..1..1....2..1....0..2....0..0....2..2....2..1....2..1....0..1....1..1....0..0
%e ..1..2....2..2....2..1....2..1....2..1....0..1....1..1....1..0....2..0....1..0
%e ..2..1....2..0....2..1....2..1....2..1....2..2....0..2....2..0....1..2....2..1
%e ..2..2....0..1....0..0....0..2....1..1....1..1....2..1....2..0....2..1....2..0
%e ..0..2....2..1....0..2....2..2....2..2....2..1....1..0....0..1....2..2....0..0
%Y Column 1 of A237249.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 05 2014
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