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Number of (6+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8
1

%I #4 Dec 19 2014 10:28:08

%S 5503,37917,153189,617798,4274586,18149682,82404422,571397644,

%T 2451795723,11526421874,81714444770,352505179731,1676004467136,

%U 12066830677075,52201486791538,249256160558604,1809616167926962,7839226018586938

%N Number of (6+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8

%C Row 6 of A252615

%H R. H. Hardin, <a href="/A252621/b252621.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..0..1..2..2..1....0..2..3..3..2....2..3..3..2..0....0..2..3..3..2

%e ..0..3..2..0..3....3..3..2..3..3....2..1..2..2..1....2..2..1..2..2

%e ..2..3..3..2..3....1..2..2..1..2....3..3..2..3..3....2..0..3..2..3

%e ..2..1..2..2..1....3..2..3..3..2....2..3..3..2..0....3..2..3..0..2

%e ..0..3..2..3..3....3..3..2..3..0....2..1..2..2..1....2..2..1..2..2

%e ..2..3..3..2..3....1..2..2..1..2....3..0..2..3..0....2..3..3..2..0

%e ..2..1..2..2..1....0..2..3..3..2....2..3..3..2..1....3..2..3..0..2

%e ..3..3..2..3..0....3..3..2..0..3....2..1..2..2..1....2..2..1..0..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2014