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Number of (n+2)X(2+2) 0..4 arrays with every 3X3 subblock row and column sum nonprime and every diagonal and antidiagonal sum prime
1

%I #4 Dec 12 2014 21:25:08

%S 31774,55941,84953,183494,710758,2297641,9138994,27977649,118955569,

%T 380855595,1552701716,4826092817,20665212175,66338031686,273170530792,

%U 850783059320,3644378584228,11704818279088,48350109615945

%N Number of (n+2)X(2+2) 0..4 arrays with every 3X3 subblock row and column sum nonprime and every diagonal and antidiagonal sum prime

%C Column 2 of A252039

%H R. H. Hardin, <a href="/A252034/b252034.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..0..3..3..0....0..1..3..4....0..0..1..0....0..4..2..0....2..3..3..0

%e ..4..4..4..4....0..4..2..4....3..3..0..3....2..1..3..4....4..2..2..4

%e ..4..1..3..0....4..1..3..0....3..3..0..3....4..4..4..4....0..3..3..0

%e ..2..4..2..4....0..4..4..0....4..4..1..4....0..3..1..0....0..4..4..0

%e ..0..1..3..2....4..1..3..0....3..3..0..1....0..2..4..0....0..3..3..0

%e ..2..4..4..0....0..4..2..0....1..3..0..1....4..1..3..4....0..2..2..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 12 2014