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

%I #4 Dec 10 2014 10:27:27

%S 1280,1232,556,1316,3530,9836,33218,252162,1017410,4251650,95453186,

%T 461119490,2176843778,165104582658,884163477506,4458176053250,

%U 1236435185172482,6998537539682306,36521378228207618

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

%C Diagonal of A251894

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 10 2014