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A228752 Number of n X 6 binary arrays with top left element equal to 1 and no two ones adjacent horizontally or antidiagonally.

%I A228752 #10 Sep 12 2018 15:08:48
%S A228752 8,119,1712,24246,342207,4823826,67970044,957616341,13491214832,
%T A228752 190066959598,2677695197199,37723794440794,531458704862804,
%U A228752 7487272853619205,105481862639606840,1486044856081515654
%N A228752 Number of n X 6 binary arrays with top left element equal to 1 and no two ones adjacent horizontally or antidiagonally.
%H A228752 R. H. Hardin, <a href="/A228752/b228752.txt">Table of n, a(n) for n = 1..210</a>
%F A228752 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 A228752 Empirical g.f.: x*(8 - 49*x + 109*x^2 - 114*x^3 + 218*x^4 - 78*x^5) / (1 - 21*x + 112*x^2 - 217*x^3 + 157*x^4 - 36*x^5). - _Colin Barker_, Sep 12 2018
%e A228752 Some solutions for n=4:
%e A228752 ..1..0..1..0..0..0....1..0..1..0..0..0....1..0..0..1..0..1....1..0..0..0..0..1
%e A228752 ..1..0..1..0..0..1....0..0..0..0..1..0....1..0..0..0..0..1....1..0..0..0..0..1
%e A228752 ..0..0..1..0..0..1....0..0..1..0..1..0....0..0..0..0..0..1....1..0..0..0..0..0
%e A228752 ..0..0..0..1..0..0....1..0..1..0..0..1....0..1..0..1..0..1....0..1..0..0..1..0
%Y A228752 Column 6 of A228754.
%K A228752 nonn
%O A228752 1,1
%A A228752 _R. H. Hardin_, Sep 02 2013