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%I #8 Dec 03 2018 06:25:40
%S 965,562,596,778,1260,1636,2478,3940,5958,9178,14534,22666,35250,
%T 55690,88338,138082,217874,348706,546498,861730,1385538,2174338,
%U 3427394,5523586,8674050,13670530,22057218,34649602,54604034,88154626,138505218
%N Number of (n+2) X (3+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 0 2 3 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 0 2 3 6 or 7.
%H R. H. Hardin, <a href="/A252259/b252259.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + 6*a(n-3) - 6*a(n-4) - 8*a(n-6) + 8*a(n-7) for n>12.
%F Empirical g.f.: x*(965 - 403*x + 34*x^2 - 5608*x^3 + 2900*x^4 + 172*x^5 + 7470*x^6 - 4654*x^7 + 34*x^8 - 376*x^9 + 440*x^10 - 968*x^11) / ((1 - x)*(1 - 2*x^3)*(1 - 4*x^3)). - _Colin Barker_, Dec 03 2018
%e Some solutions for n=4:
%e ..2..2..0..2..2....2..1..2..2..0....3..3..2..0..3....2..2..1..2..2
%e ..3..3..2..3..3....3..2..3..3..2....2..2..0..2..2....3..3..2..3..3
%e ..3..3..2..3..3....3..2..3..3..2....3..3..2..3..3....3..3..2..3..3
%e ..2..2..0..2..2....2..1..2..2..0....3..3..2..3..3....2..2..0..2..2
%e ..3..3..2..3..3....3..2..3..3..2....2..2..0..2..2....3..3..2..3..3
%e ..3..3..2..3..3....3..2..3..3..2....3..0..2..3..3....0..3..2..3..3
%Y Column 3 of A252260.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 16 2014
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