A204414 - OEIS

%I #5 Mar 31 2012 12:37:01

%S 22956524,52039032,49914501,89459577,253954944,1364559057,8802512928,

%T 94119917760,799779768057,5157529409520,54442875220704,

%U 461709627045696,2975903003844864,31413452974221312,266406358593250368

%N 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 Column 5 of A204417

%H R. H. Hardin, <a href="/A204414/b204414.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 577*a(n-3) for n>16

%e Some solutions for n=3

%e ..0..0..2..2..2..0..2....2..0..1..1..0..0..1....1..0..0..1..1..0..0

%e ..1..0..1..2..0..1..0....2..1..0..1..1..0..1....0..1..1..0..1..1..0

%e ..2..0..0..1..2..2..1....0..2..1..0..2..1..1....2..0..2..1..0..2..1

%e ..0..1..2..0..1..2..2....0..2..2..1..1..2..1....0..1..2..2..1..1..2

%e ..2..0..1..2..0..1..2....0..1..2..2..0..1..2....1..0..1..2..2..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2012