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%I #4 Feb 13 2014 06:14:50
%S 300,1456,7220,34738,168120,843310,4176684,20234876,98488592,
%T 490709904,2423229752,11787571072,57592668148,285613778928,
%U 1407652995368,6867790813994,33631458148732,166268484651892,818421568319140
%N Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 2 of A237779
%H R. H. Hardin, <a href="/A237773/b237773.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 16*a(n-3) +421*a(n-4) +284*a(n-5) +499*a(n-6) +1042*a(n-7) -2558*a(n-8) +328*a(n-9) -1384*a(n-10) -3450*a(n-11) +5485*a(n-12) +222*a(n-13) +384*a(n-14) -2174*a(n-15) +305*a(n-16) +252*a(n-17) +36*a(n-18) +64*a(n-19) -16*a(n-20) for n>22
%e Some solutions for n=5
%e ..1..2..0....0..1..1....0..2..0....1..1..0....1..2..1....1..1..0....0..0..2
%e ..0..1..2....0..1..2....0..0..1....0..0..2....0..1..2....0..0..2....2..1..2
%e ..1..1..0....2..1..2....0..1..1....1..0..0....0..1..0....1..0..0....2..0..1
%e ..2..0..1....2..1..1....1..0..2....0..1..0....2..1..1....0..1..0....1..1..0
%e ..2..0..2....1..0..0....1..2..1....2..0..1....0..2..0....2..1..0....0..0..2
%e ..1..1..2....1..0..1....2..1..1....2..0..2....0..1..2....1..2..0....1..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 13 2014