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%I #11 Apr 28 2018 12:49:17
%S 21,288,4084,57665,813309,11462588,161506225,2275402541,32056524184,
%T 451618426905,6362474783637,89635548416108,1262799579803897,
%U 17790516723173509,250635561977240232,3530992705334939489
%N Number of 6 X n binary arrays without the pattern 0 0 diagonally or vertically.
%C Row 6 of A188706.
%H R. H. Hardin, <a href="/A188710/b188710.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 21*a(n-1) - 112*a(n-2) + 217*a(n-3) - 157*a(n-4) + 36*a(n-5) for n>6.
%F Empirical g.f.: x*(21 - 153*x + 388*x^2 - 400*x^3 + 553*x^4 - 189*x^5) / (1 - 21*x + 112*x^2 - 217*x^3 + 157*x^4 - 36*x^5). - _Colin Barker_, Apr 28 2018
%e Some solutions for 6 X 3:
%e 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0
%e 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 0 1
%e 1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1
%e 0 0 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0
%e 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
%e 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0
%Y Cf. A188706.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 08 2011
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