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Number of (n+1)X(n+1) 0..2 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order
0

%I #5 Mar 31 2012 12:37:00

%S 6,144,7776,956448,271918944,180709558848,281455764775776,

%T 1031010515432951328,8894627860916158754400,

%U 180980943906416856129607680

%N Number of (n+1)X(n+1) 0..2 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order

%C Diagonal of A203984

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 09 2012