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A204605 Number of (n+2)X8 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally exactly one way 1

%I #5 Mar 31 2012 12:37:02

%S 153711850,304865717,327968423,774393122,1139760144,1719348416,

%T 9620299328,81184579243,606122835152,4770658099472,36670194434029,

%U 269385186521216,2109808033784128,16211635789930370,119093074670884992

%N Number of (n+2)X8 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally exactly one way

%C Column 6 of A204607

%H R. H. Hardin, <a href="/A204605/b204605.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 442*a(n-3) +43*a(n-6) for n>17

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 17 2012

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)