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%I #4 Dec 16 2014 08:30:21
%S 232,588,1407,2513,7803,20430,37160,121782,326774,596036,2008782,
%T 5462339,9969419,34147305,93561856,170807342,590374668,1624383132,
%U 2965903730,10301913228,28409142949,51875117033,180660686571,498797977816
%N Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 2 3 4 6 or 7
%C Column 3 of A252278
%H R. H. Hardin, <a href="/A252273/b252273.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 32*a(n-3) -310*a(n-6) +1093*a(n-9) -1724*a(n-12) +1309*a(n-15) -476*a(n-18) +82*a(n-21) -5*a(n-24) for n>27
%e Some solutions for n=4
%e ..2..2..1..2..2....2..1..2..2..1....3..3..2..3..3....3..3..2..0..3
%e ..3..3..2..3..0....3..2..3..3..2....3..0..2..3..3....2..2..1..2..2
%e ..3..0..2..3..3....3..2..3..3..2....2..2..1..2..2....0..3..2..3..3
%e ..2..2..1..2..2....2..1..2..2..1....0..3..2..3..0....3..3..2..3..3
%e ..3..3..2..3..0....3..2..3..3..2....3..3..2..3..3....2..2..1..2..2
%e ..0..3..2..0..3....3..2..3..0..2....2..2..1..2..2....0..3..2..0..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 16 2014