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Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7
1

%I #4 Dec 17 2014 10:52:26

%S 6941,10309,38186,151863,652210,2718502,10924203,47376966,196667998,

%T 788158275,3419420671,14214579202,56964813491,246973156585,

%U 1027497174397,4117359629923,17846591172785,74293698105294,297651191468217

%N Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7

%C Column 7 of A252433

%H R. H. Hardin, <a href="/A252432/b252432.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

%e ..1..3..3..1..3..3..1..3..3....3..3..1..3..3..1..3..3..1

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

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

%e ..1..3..3..1..3..3..1..0..3....3..3..1..3..0..1..3..3..1

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014