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%I #4 Dec 17 2014 08:49:13
%S 578,540,588,651,785,904,1051,1290,1543,1902,2392,2959,3827,4965,6347,
%T 8484,11355,14882,20270,27738,36892,50720,70283,94180,130033,181321,
%U 243827,337271,471676,635273,879421,1231489,1659757,2298382,3220359
%N Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 7
%C Column 1 of A252384
%H R. H. Hardin, <a href="/A252377/b252377.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-3) -8*a(n-6) +5*a(n-9) -a(n-12) for n>22
%e Some solutions for n=4
%e ..3..0..0....3..1..2....1..3..2....0..1..2....3..0..3....0..2..1....0..3..0
%e ..3..1..3....3..0..0....3..0..0....2..0..3....2..3..0....0..0..0....1..3..2
%e ..3..3..1....2..1..0....0..1..2....2..1..3....3..1..1....1..2..0....1..2..0
%e ..3..0..0....3..1..1....1..0..2....0..1..2....3..0..0....0..2..1....0..3..0
%e ..3..1..3....3..0..0....0..0..0....0..0..3....3..1..3....0..0..0....1..3..1
%e ..3..3..1....3..1..3....0..1..2....2..1..3....3..3..1....1..2..0....1..2..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 17 2014
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