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%I #7 Dec 03 2018 10:38:49
%S 1966,771,663,744,916,1097,1361,1791,2270,2976,4082,5341,7204,10080,
%T 13381,18273,25783,34430,47252,66894,89537,123120,174524,233809,
%U 321745,456303,611518,841752,1194010,1600373,2203148,3125352,4189229,5767329
%N Number of (n+2) X (4+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 3 5 6 or 7.
%H R. H. Hardin, <a href="/A252380/b252380.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-3) - 4*a(n-6) + a(n-9) for n>12.
%F Empirical g.f.: x*(1966 + 771*x + 663*x^2 - 7120*x^3 - 2168*x^4 - 1555*x^5 + 6249*x^6 + 1211*x^7 + 534*x^8 - 1458*x^9 - 189*x^10 - 14*x^11) / ((1 - x)*(1 + x + x^2)*(1 - 3*x^3 + x^6)). - _Colin Barker_, Dec 03 2018
%e Some solutions for n=4:
%e ..2..1..0..2..1..0....2..0..1..2..3..1....2..3..1..2..0..1....2..3..1..2..0..1
%e ..0..1..2..3..1..2....3..0..0..0..3..0....2..1..0..2..1..3....2..1..0..2..1..3
%e ..0..0..0..3..0..0....3..2..1..0..2..1....0..0..0..0..3..0....0..0..0..0..3..0
%e ..2..1..0..2..1..0....2..0..1..2..3..1....2..0..1..2..0..1....2..0..1..2..0..1
%e ..0..1..2..3..1..1....3..0..0..0..3..0....2..1..3..2..1..0....2..1..3..2..1..3
%e ..0..0..0..3..0..3....3..2..1..0..2..1....0..3..0..0..0..0....0..3..0..0..3..0
%Y Column 4 of A252384.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 17 2014
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