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Number of (n+2)X(n+2) 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally or vertically
1

%I #6 Mar 31 2012 12:37:02

%S 3971,339311,18296109,2046727035,208673819127,16952599195335,

%T 2150256810788631,231484563516049047,17383011406345706229,

%U 2392589916423772309863,241662368869335696335157

%N Number of (n+2)X(n+2) 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally or vertically

%C Diagonal of A204501

%H R. H. Hardin, <a href="/A204493/b204493.txt">Table of n, a(n) for n = 1..14</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2012