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%I A204414 #5 Mar 31 2012 12:37:01
%S A204414 22956524,52039032,49914501,89459577,253954944,1364559057,8802512928,
%T A204414 94119917760,799779768057,5157529409520,54442875220704,
%U A204414 461709627045696,2975903003844864,31413452974221312,266406358593250368
%N A204414 Number of (n+2)X7 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally or vertically, exactly one way
%C A204414 Column 5 of A204417
%H A204414 R. H. Hardin, <a href="/A204414/b204414.txt">Table of n, a(n) for n = 1..210</a>
%F A204414 Empirical: a(n) = 577*a(n-3) for n>16
%e A204414 Some solutions for n=3
%e A204414 ..0..0..2..2..2..0..2....2..0..1..1..0..0..1....1..0..0..1..1..0..0
%e A204414 ..1..0..1..2..0..1..0....2..1..0..1..1..0..1....0..1..1..0..1..1..0
%e A204414 ..2..0..0..1..2..2..1....0..2..1..0..2..1..1....2..0..2..1..0..2..1
%e A204414 ..0..1..2..0..1..2..2....0..2..2..1..1..2..1....0..1..2..2..1..1..2
%e A204414 ..2..0..1..2..0..1..2....0..1..2..2..0..1..2....1..0..1..2..2..0..0
%K A204414 nonn
%O A204414 1,1
%A A204414 _R. H. Hardin_ Jan 15 2012

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