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%I #4 Dec 31 2014 09:52:08
%S 81,480,2890,17560,106540,646240,3920448,23781448,144267352,875147104,
%T 5308894208,32204831776,195362700680,1185113825256,7189187420440,
%U 43611271279904,264556337839152,1604860554179552,9735463002163768
%N Number of (n+1)X(1+1) 0..2 arrays with every 2X2 subblock diagonal maximum plus antidiagonal minimum unequal to its neighbors horizontally, vertically and ne+sw antidiagonally
%C Column 1 of A253407
%H R. H. Hardin, <a href="/A253400/b253400.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +24*a(n-2) +7*a(n-3) -15*a(n-4) -84*a(n-6) -139*a(n-7) -28*a(n-8) -14*a(n-9) -24*a(n-10) for n>11
%e Some solutions for n=4
%e ..2..0....1..0....0..1....0..0....0..2....1..2....0..0....0..0....1..2....2..2
%e ..0..1....2..0....0..0....1..2....0..0....0..1....2..1....2..1....2..2....2..2
%e ..2..0....0..1....2..2....0..1....2..1....2..1....0..1....1..1....1..0....0..0
%e ..1..2....2..0....2..0....2..1....1..0....1..2....2..0....1..1....2..0....2..1
%e ..2..1....2..2....2..0....2..2....0..2....1..1....2..0....2..2....0..2....2..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 31 2014
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