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%I #8 Oct 22 2018 14:29:05
%S 81,308,1144,4272,16280,61152,231680,869120,3299584,12382208,46966784,
%T 176229376,668720640,2509305856,9520095232,35722403840,135538946048,
%U 508589948928,1929634152448,7240635777024,27472062906368,103084621299712
%N Number of (n+1) X (1+1) 0..2 arrays with the maximum plus the lower median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.
%H R. H. Hardin, <a href="/A237456/b237456.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 136*a(n-4) + 832*a(n-6) + 1600*a(n-8) + 1024*a(n-10).
%F Empirical g.f.: x*(81 + 308*x + 1144*x^2 + 4272*x^3 + 5264*x^4 + 19264*x^5 + 8704*x^6 + 31872*x^7 + 4096*x^8 + 18432*x^9) / (1 - 136*x^4 - 832*x^6 - 1600*x^8 - 1024*x^10). - _Colin Barker_, Oct 22 2018
%e Some solutions for n=5:
%e ..1..0....1..0....1..1....2..2....2..1....2..0....1..1....0..0....2..1....2..1
%e ..0..0....1..0....1..0....1..1....2..0....1..1....1..0....1..2....0..0....2..0
%e ..2..1....0..2....2..2....1..0....2..0....1..0....1..0....1..1....0..1....2..2
%e ..0..2....1..1....2..1....0..0....1..2....0..0....0..2....0..1....1..1....1..1
%e ..1..0....0..1....1..1....2..1....0..0....1..2....2..1....1..0....0..2....1..1
%e ..0..0....0..0....0..1....1..2....1..0....1..1....2..2....0..2....0..0....1..2
%Y Column 1 of A237463.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 08 2014
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