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%I #7 Oct 21 2018 12:08:24
%S 81,563,4042,30045,225731,1709398,12985257,98824835,752732146,
%T 5735997813,43718861747,333254475550,2540422933761,19366344774803,
%U 147636924297562,1125499164013965,8580187472356451,65410743082158118,498656791677215577
%N Number of (n+1) X (1+1) 0..2 arrays with the maximum of every 2 X 2 subblock equal.
%H R. H. Hardin, <a href="/A237028/b237028.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) - 83*a(n-3) + 15*a(n-4) + 60*a(n-5).
%F Empirical g.f.: x*(81 - 166*x - 1025*x^2 + 390*x^3 + 840*x^4) / ((1 - x)*(1 - 3*x - 3*x^2)*(1 - 5*x - 20*x^2)). - _Colin Barker_, Oct 21 2018
%e Some solutions for n=4:
%e ..1..2....0..0....0..0....0..2....0..1....0..2....2..1....2..0....0..1....0..1
%e ..2..0....2..1....1..2....1..1....2..0....0..1....2..2....2..2....2..1....1..0
%e ..2..1....0..0....2..1....0..2....0..2....2..2....2..2....0..1....1..0....1..1
%e ..2..2....1..2....2..0....1..1....0..1....0..0....0..1....1..2....1..2....1..0
%e ..0..0....0..0....2..0....2..2....2..2....1..2....0..2....1..0....0..1....0..0
%Y Column 1 of A237035.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 02 2014
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