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Number of (n+2)X(4+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 1 or 5
1

%I #4 Dec 12 2014 08:47:29

%S 1182549,43957515,2351304453,143941074215,9220975438331,

%T 598720936854481,39038339681025033,2548856771274494679,

%U 166490920337454372853,10876714257781843015027,710600087055415290568237

%N Number of (n+2)X(4+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 1 or 5

%C Column 4 of A251989

%H R. H. Hardin, <a href="/A251988/b251988.txt">Table of n, a(n) for n = 1..22</a>

%e Some solutions for n=1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 12 2014