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A208016 Number of 6 X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 1 vertically.

%I A208016 #8 Jun 26 2018 14:08:43
%S A208016 16,256,784,4489,15376,43264,167281,609961,1974025,6927424,24750625,
%T A208016 84456100,291931396,1024704121,3549895561,12285283921,42796024384,
%U A208016 148698928225,515713569424,1792246207504,6227984421649,21622397700121
%N A208016 Number of 6 X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 1 vertically.
%C A208016 Row 6 of A208013.
%H A208016 R. H. Hardin, <a href="/A208016/b208016.txt">Table of n, a(n) for n = 1..210</a>
%F A208016 Empirical: a(n) = a(n-1) + 3*a(n-2) + 21*a(n-3) + 9*a(n-4) - 27*a(n-5) - 81*a(n-6) for n>8.
%F A208016 Empirical g.f.: x*(16 + 240*x + 480*x^2 + 2601*x^3 + 3015*x^4 - 3915*x^5 - 15228*x^6 - 8505*x^7) / ((1 + 3*x^2 - 9*x^3)*(1 - x - 6*x^2 - 9*x^3)). - _Colin Barker_, Jun 26 2018
%e A208016 Some solutions for n=4:
%e A208016 ..1..0..0..1....1..0..0..1....0..0..1..1....0..0..1..1....1..1..1..0
%e A208016 ..0..1..1..0....0..0..1..0....0..0..1..0....1..1..1..1....0..1..0..0
%e A208016 ..1..0..0..1....1..0..0..1....0..0..1..0....0..0..1..0....0..1..0..0
%e A208016 ..0..1..1..0....0..0..1..0....0..0..1..0....1..1..1..1....0..1..0..0
%e A208016 ..1..0..0..1....1..0..0..1....0..0..1..0....0..0..1..0....0..1..0..0
%e A208016 ..0..0..1..0....0..0..1..0....0..0..1..0....0..1..0..0....0..1..0..0
%Y A208016 Cf. A208013.
%K A208016 nonn
%O A208016 1,1
%A A208016 _R. H. Hardin_, Feb 22 2012