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%I #8 Dec 02 2018 10:22:25
%S 342,858,2174,4708,13376,34364,74824,213344,548984,1196176,3412160,
%T 8782064,19136800,54591872,140509664,306184768,873464576,2248147904,
%U 4898948224,13975422464,35970353024,78383155456,223606737920
%N Number of (n+2) X (1+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 1 3 4 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 1 3 4 6 or 7.
%H R. H. Hardin, <a href="/A252236/b252236.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 18*a(n-3) - 32*a(n-6) for n>8.
%F Empirical g.f.: 2*x*(171 + 429*x + 1087*x^2 - 724*x^3 - 1034*x^4 - 2384*x^5 + 512*x^6 + 16*x^7) / ((1 - 2*x^3)*(1 - 16*x^3)). - _Colin Barker_, Dec 02 2018
%e Some solutions for n=4
%e ..3..0..2....1..0..1....1..1..3....0..1..1....3..1..1....0..2..3....2..2..1
%e ..0..3..2....1..3..1....1..1..0....2..3..0....2..0..3....1..3..1....3..0..2
%e ..2..2..1....0..2..0....0..0..2....3..1..1....0..1..1....1..0..1....0..0..2
%e ..0..3..2....1..3..1....1..1..3....0..1..1....0..1..1....3..2..0....2..2..1
%e ..0..3..2....1..3..1....1..1..0....2..3..3....2..3..3....1..0..1....3..0..2
%e ..2..2..1....3..2..3....0..3..2....0..1..1....0..1..1....1..3..1....0..3..2
%Y Column 1 of A252243.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 15 2014