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%I #8 Jul 02 2018 09:01:35
%S 12,144,180,900,3200,10660,40740,148240,526900,1931300,7015680,
%T 25336420,92086020,334206800,1211147700,4394975940,15944933760,
%U 57827661860,209781161700,761003136400,2760390765620,10013327220580,36323344673280
%N Number of 6 X n 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically.
%C Row 6 of A208379.
%H R. H. Hardin, <a href="/A208382/b208382.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + 4*a(n-2) + 17*a(n-3) + 11*a(n-4) - 4*a(n-5) + 16*a(n-6) for n>8.
%F Empirical g.f.: 4*x*(3 + 33*x - 3*x^2 - 15*x^3 - 250*x^4 - 184*x^5 + 96*x^6 - 256*x^7) / (1 - x - 4*x^2 - 17*x^3 - 11*x^4 + 4*x^5 - 16*x^6). - _Colin Barker_, Jul 02 2018
%e Some solutions for n=4:
%e ..0..1..0..1....0..1..1..0....1..1..0..1....1..0..0..1....1..0..0..1
%e ..1..0..1..1....1..0..1..1....0..0..1..1....1..0..1..1....0..1..0..1
%e ..0..0..1..0....1..0..0..1....0..0..1..0....0..0..1..1....0..1..0..0
%e ..0..0..1..0....1..0..0..1....0..0..1..0....0..0..1..0....0..1..0..0
%e ..0..0..1..0....1..0..0..1....0..0..1..0....0..0..1..0....0..1..0..0
%e ..0..0..1..0....1..0..0..1....0..0..1..0....0..0..1..0....0..1..0..0
%Y Cf. A208379.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 25 2012
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