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Number of (n+2)X(n+2) 0..1 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..1 introduced in row major order
1

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

%S 144,4050,259808,25233408,5406738528,2134049909922,1597165262402016,

%T 2318118449955569282,6416215460503014746112,

%U 33850489754410068455670578,342799382812784238626135423232,6643766502379498331477812982056992

%N Number of (n+2)X(n+2) 0..1 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..1 introduced in row major order

%C Diagonal of A204398

%H R. H. Hardin, <a href="/A204390/b204390.txt">Table of n, a(n) for n = 1..16</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2012