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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 3 4 6 or 7
2

%I #5 Dec 14 2014 12:40:09

%S 172,156,1535,22766,503968,17562129,937980660,77093723594,

%T 9818091214803,1923038551366784,579363831610999661,

%U 269256446506102900668,192945586040744107579685,212997867807414690141275343

%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 3 4 6 or 7

%C Diagonal of A252139

%H R. H. Hardin, <a href="/A252131/b252131.txt">Table of n, a(n) for n = 1..15</a>

%e Some solutions for n=4

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

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

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

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

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

%e ..3..3..3..3..2..0....3..2..3..3..3..3....2..3..3..3..2..3....3..3..3..3..3..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014