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%I #12 Sep 13 2018 06:12:16
%S 5,42,411,3957,37944,362511,3459357,33001836,314810115,3002974197,
%T 28645256880,273245752503,2606477735997,24863061056388,
%U 237167495775339,2262328872630837,21580241878243944,205852847074664031
%N Number of n X 5 binary arrays with top left element equal to 1 and no two ones adjacent horizontally or nw-se.
%H R. H. Hardin, <a href="/A228793/b228793.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 13*a(n-1) - 36*a(n-2) + 29*a(n-3) - 5*a(n-4) for n>6.
%F Empirical g.f.: x*(5 - 23*x + 45*x^2 - 19*x^3 + 106*x^4 - 18*x^5) / ((1 - x)*(1 - 12*x + 24*x^2 - 5*x^3)). - _Colin Barker_, Sep 13 2018
%e Some solutions for n=4:
%e ..1..0..1..0..0....1..0..0..0..1....1..0..1..0..1....1..0..0..0..0
%e ..0..0..1..0..0....0..0..1..0..1....0..0..0..0..1....0..0..0..1..0
%e ..0..0..0..0..1....0..1..0..0..0....1..0..0..0..1....0..0..1..0..0
%e ..1..0..0..0..1....1..0..0..0..0....1..0..0..1..0....1..0..1..0..0
%Y Column 5 of A228796.
%K nonn
%O 1,1
%A _R. H. Hardin_, Sep 04 2013
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