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%I #5 Mar 31 2012 12:37:01
%S 2827014,5597126,5776350,11785518,89459577,1122887052,6016853259,
%T 53009843553,657496617930,3488279987673,30601214237808,
%U 379380427569216,2012724444183552,17656894601957952,218902435623346176
%N Number of (n+2)X6 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally or vertically, exactly one way
%C Column 4 of A204417
%H R. H. Hardin, <a href="/A204413/b204413.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 577*a(n-3) for n>15
%e Some solutions for n=3
%e ..0..1..0..0..1..0....2..1..2..0..2..0....2..0..1..2..0..2....0..0..0..2..2..0
%e ..1..0..0..1..0..0....1..2..2..1..0..0....0..0..0..1..2..2....0..2..1..0..1..1
%e ..2..1..0..2..1..0....0..1..2..2..1..0....0..1..2..0..1..2....2..2..2..1..0..2
%e ..2..2..1..2..2..1....0..0..1..2..2..1....1..0..1..2..2..0....0..1..2..2..1..1
%e ..2..1..2..0..2..2....2..2..0..1..2..2....0..1..0..1..2..0....1..0..1..2..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 15 2012
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