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%I #7 Mar 20 2018 10:17:01
%S 74824,2568432,65274264,301990464,10519316352,267361717440,
%T 1236950585856,43087111928832,1095113581291008,5066549580828672,
%U 176484810397704192,4485585228861222912,20752587082923540480,722881783388494036992
%N Number of (n+2) X (7+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.
%C Column 7 of A252243.
%H R. H. Hardin, <a href="/A252242/b252242.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4104*a(n-3) - 32768*a(n-6) for n>7.
%F Empirical g.f.: 8*x*(9353 + 321054*x + 8159283*x^2 - 635904*x^3 - 2691072*x^4 - 65482752*x^5 + 4194304*x^6) / ((1 - 2*x)*(1 - 16*x)*(1 + 2*x + 4*x^2)*(1 + 16*x + 256*x^2)). - _Colin Barker_, Mar 20 2018
%e Some solutions for n=1:
%e ..0..3..2..0..0..2..3..0..2....0..2..0..0..2..0..3..2..3
%e ..0..3..2..0..3..2..0..3..2....0..2..0..0..2..0..0..2..3
%e ..2..2..1..2..2..1..2..2..1....2..1..2..2..1..2..2..1..2
%Y Cf. A252243.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 15 2014
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