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%I #4 Dec 09 2014 15:56:46
%S 872,1229,2890,5860,18708,48692,100973,328235,861182,1788541,5811485,
%T 15259891,31702266,102964722,270439630,561937573,1824434189,
%U 4793021422,9960951265,32328609957,84950562777,176575774214,572879745560
%N Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum nonprime and every diagonal and antidiagonal sum prime
%C Column 4 of A251845
%H R. H. Hardin, <a href="/A251841/b251841.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 41*a(n-3) -521*a(n-6) +2122*a(n-9) -3698*a(n-12) +2906*a(n-15) -927*a(n-18) +157*a(n-21) -89*a(n-24) +10*a(n-27) for n>32
%e Some solutions for n=4
%e ..1..0..0..1..0..3....1..2..1..1..2..1....0..1..0..0..1..0....2..1..1..2..1..1
%e ..1..0..3..1..0..0....0..1..0..0..1..0....0..1..3..0..1..3....0..2..2..0..2..2
%e ..2..1..1..2..1..1....3..1..0..3..1..0....1..2..1..1..2..1....2..1..1..2..1..1
%e ..1..0..0..1..0..0....1..2..1..1..2..1....0..1..0..0..1..0....2..1..1..2..1..1
%e ..1..0..3..1..0..3....0..1..0..0..1..0....0..1..0..3..1..0....0..2..2..0..2..2
%e ..2..1..1..2..1..1....0..1..3..0..1..3....1..2..1..1..2..1....2..1..1..2..1..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 09 2014
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