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Number of (n+2)X(n+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 or 4
1

%I #5 Dec 16 2014 20:09:53

%S 52,268,2978,43708,960912,33579112,1793526072,147518483334,

%T 18786369968734,3677603612834944,1107920643675524618,

%U 515039036348578802392,369081216309162786350824

%N Number of (n+2)X(n+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 or 4

%C Diagonal of A252343

%H R. H. Hardin, <a href="/A252335/b252335.txt">Table of n, a(n) for n = 1..14</a>

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2014