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%I #7 Dec 03 2018 10:46:59
%S 3020,1067,963,1091,1305,1667,2031,2598,3526,4492,5983,8393,10935,
%T 14845,21135,27803,38046,54494,71964,98787,141829,187579,257809,
%U 370475,490263,674134,969078,1282700,1764087,2536241,3357327,4617621,6639127,8788771
%N Number of (n+2) X (5+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="/A252381/b252381.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*(3020 + 1067*x + 963*x^2 - 10989*x^3 - 2963*x^4 - 2185*x^5 + 9747*x^6 + 1646*x^7 + 710*x^8 - 2288*x^9 - 256*x^10 - 6*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 ..1..0..2..1..3..2..1....2..3..0..2..1..0..2....0..2..3..0..0..3..0
%e ..0..0..0..3..0..0..3....0..1..2..0..1..2..3....2..1..3..2..1..3..2
%e ..0..1..2..0..1..2..0....0..0..0..0..0..0..3....0..1..2..0..1..2..0
%e ..1..3..2..1..3..2..1....2..1..0..2..1..0..2....0..0..3..0..0..3..0
%e ..3..0..0..3..0..0..3....0..1..2..0..1..2..3....2..1..3..2..1..3..1
%e ..0..1..2..0..1..2..0....0..0..0..0..0..0..3....0..1..2..0..1..2..3
%Y Column 5 of A252384.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 17 2014
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