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Number of (n+2)X(3+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 21:26:17

%S 53776,84953,43475,85570,309509,1083611,2760880,11408435,45212106,

%T 116642072,531761898,2259000889,5831023888,28257830105,124970572069,

%U 322460681029,1617291825135,7310304048517,18856709193862,96407077619864

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

%C Column 3 of A252039

%H R. H. Hardin, <a href="/A252035/b252035.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 12 2014