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Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 3 6 or 7
0

%I #4 Dec 16 2014 17:27:16

%S 1557,1974,2493,23422,505062,17562749,937981280,77093724660,

%T 9818091215415,1923038551367392,579363831611000707,

%U 269256446506102901260,192945586040744107580301

%N Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 3 6 or 7

%C Diagonal of A252321

%e Some solutions for n=4

%e ..3..2..3..3..3..3....3..3..3..3..3..3....3..3..3..3..2..3....3..3..3..3..3..2

%e ..3..3..3..2..3..3....3..3..2..3..3..3....2..3..3..3..3..2....3..3..3..3..3..3

%e ..3..3..3..3..3..3....3..3..3..3..3..3....3..3..3..3..3..3....2..3..3..3..3..3

%e ..2..3..3..3..3..3....3..2..3..3..3..3....3..3..3..3..3..3....3..3..3..2..3..3

%e ..3..3..2..3..3..2....3..3..3..3..3..3....2..3..3..3..2..3....3..2..3..3..3..2

%e ..3..3..3..3..2..3....3..3..2..3..3..3....3..3..2..3..3..3....3..3..3..3..3..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2014