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%I #4 Dec 09 2014 15:58:45
%S 2784,9647,40492,100973,616922,2726048,6811452,41181626,182794163,
%T 457065675,2755684055,12239107983,30610006209,184445367947,
%U 819388421574,2049720229955,12346166194821,54857889018442,137257302547126
%N Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum nonprime and every diagonal and antidiagonal sum prime
%C Column 7 of A251845
%H R. H. Hardin, <a href="/A251844/b251844.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 165*a(n-3) -9038*a(n-6) +195335*a(n-9) -2203601*a(n-12) +15341600*a(n-15) -73455549*a(n-18) +243919138*a(n-21) -516775060*a(n-24) +667463786*a(n-27) -513879699*a(n-30) +227087898*a(n-33) -48471310*a(n-36) -184440*a(n-39) -299304*a(n-42) +1669248*a(n-45) -399168*a(n-48) for n>56
%e Some solutions for n=4
%e ..1..3..2..1..1..2..1..1..2....0..3..1..0..0..1..0..0..1
%e ..0..3..1..0..0..1..0..0..1....0..0..1..0..0..1..0..3..1
%e ..0..0..1..3..0..1..0..3..1....1..1..2..1..1..2..1..1..2
%e ..1..1..2..1..1..2..1..1..2....0..0..1..3..0..1..0..0..1
%e ..0..0..1..0..0..1..0..0..1....3..0..1..0..0..1..0..3..1
%e ..0..3..1..0..0..1..3..0..1....1..1..2..1..1..2..1..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 09 2014
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