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Number of (7+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 10:28:48

%S 9927,75859,342559,1597203,11003134,51303874,264208755,1700337789,

%T 7930822332,41993076275,265748176256,1237282428489,6597940218231,

%U 41627282814007,193554922117798,1034078382568668,6523826189348209

%N Number of (7+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 7 of A252615

%H R. H. Hardin, <a href="/A252622/b252622.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=2

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2014