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%I #7 Dec 02 2018 14:26:31
%S 463,302,279,297,327,366,414,492,594,720,924,1191,1521,2055,2754,3618,
%T 5016,6846,9108,12768,17559,23481,33063,45606,61110,86196,119034,
%U 159624,225300,311271,417537,589479,814554,1092762,1542912,2132166,2860524
%N Number of (n+2) X (5+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 0 3 5 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 0 3 5 6 or 7.
%H R. H. Hardin, <a href="/A252251/b252251.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + 3*a(n-3) - 3*a(n-4) - a(n-6) + a(n-7) for n>9.
%F Empirical g.f.: x*(463 - 161*x - 23*x^2 - 1371*x^3 + 513*x^4 + 108*x^5 + 457*x^6 - 173*x^7 - 38*x^8) / ((1 - x)*(1 - 3*x^3 + x^6)). - _Colin Barker_, Dec 02 2018
%e Some solutions for n=4:
%e ..3..0..1..0..1..0..1....2..2..0..2..2..0..2....0..2..2..0..2..2..0
%e ..3..1..0..1..0..1..0....3..0..1..0..3..1..0....2..3..3..2..3..3..2
%e ..3..0..1..0..1..0..1....3..0..1..0..3..1..0....2..3..3..2..3..3..2
%e ..3..1..0..1..0..1..0....2..2..0..2..2..0..2....0..2..2..0..2..2..0
%e ..3..0..1..0..1..0..1....3..0..1..0..3..1..0....2..3..3..2..3..3..2
%e ..3..1..0..1..0..1..0....3..0..1..0..3..1..0....2..3..3..2..3..3..2
%Y Column 5 of A252254.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 16 2014
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