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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 0 2 or 4
0

%I #4 Dec 12 2014 17:11:29

%S 213,323,2206,29781,672903,23454804,1251157837,102663081633,

%T 13029064255431,2550191681514097,768743005287335321,

%U 357205125608485782595

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

%C Diagonal of A252032

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 12 2014