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A228658 Number of n X 6 binary arrays with top left value 1 and no two ones adjacent horizontally, diagonally or antidiagonally.

%I A228658 #11 Sep 12 2018 09:08:23
%S A228658 8,80,968,11148,128740,1482892,17074988,196565912,2262692928,
%T A228658 26045341080,299798763232,3450863834052,39721453897148,
%U A228658 457216814726132,5262827734777604,60578160174884624,697289282211813816
%N A228658 Number of n X 6 binary arrays with top left value 1 and no two ones adjacent horizontally, diagonally or antidiagonally.
%H A228658 R. H. Hardin, <a href="/A228658/b228658.txt">Table of n, a(n) for n = 1..210</a>
%F A228658 Empirical: a(n) = 14*a(n-1) - 17*a(n-2) - 142*a(n-3) + 59*a(n-4) + 352*a(n-5) + 103*a(n-6) - 48*a(n-7).
%F A228658 Empirical g.f.: 4*x*(2 - 8*x - 4*x^2 + 23*x^3 + 3*x^4 - 8*x^5) / (1 - 14*x + 17*x^2 + 142*x^3 - 59*x^4 - 352*x^5 - 103*x^6 + 48*x^7). - _Colin Barker_, Sep 12 2018
%e A228658 Some solutions for n=4:
%e A228658 ..1..0..1..0..0..1....1..0..1..0..1..0....1..0..1..0..0..1....1..0..0..0..0..1
%e A228658 ..1..0..0..0..0..1....0..0..0..0..1..0....0..0..1..0..0..0....0..0..0..1..0..0
%e A228658 ..1..0..0..1..0..1....0..0..1..0..0..0....1..0..1..0..0..0....0..0..0..0..0..1
%e A228658 ..1..0..0..0..0..1....1..0..1..0..1..0....0..0..1..0..1..0....0..0..0..1..0..1
%Y A228658 Column 6 of A228660.
%K A228658 nonn
%O A228658 1,1
%A A228658 _R. H. Hardin_, Aug 29 2013