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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, vertically or nw-to-se diagonally
1

%I #6 Mar 31 2012 12:37:01

%S 4293,347247,18913491,2085204465,218058070601,17377299440327,

%T 2207029201023771,240737453125833231,17889166072227529737,

%U 2455122309608558423403,250675639538425127676495

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

%C Diagonal of A204408

%H R. H. Hardin, <a href="/A204400/b204400.txt">Table of n, a(n) for n = 1..14</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2012