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%I #5 Mar 31 2012 12:36:15
%S 20,400,4720,52748,552752,5746968,59399960,613358776,6329670680,
%T 65317473848,674005375088,6955021798680,71768481603464,
%U 740576822228336,7641997047772264,78857656505309336,813731203352806672
%N Number of nX5 binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally
%C Column 5 of A189264
%H R. H. Hardin, <a href="/A189260/b189260.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 14*a(n-1) -30*a(n-2) -99*a(n-3) +356*a(n-4) -2856*a(n-5) +8692*a(n-6) +17040*a(n-7) -65040*a(n-8) +142172*a(n-9) -523592*a(n-10) -577136*a(n-11) +4758096*a(n-12) -3418384*a(n-13) -5978816*a(n-14) +8825824*a(n-15) -10155968*a(n-16) +18636928*a(n-17) -17683840*a(n-18) +1152*a(n-19) +18846208*a(n-20) -16343040*a(n-21) +1361920*a(n-22) +2150400*a(n-23) for n>24
%e Some solutions for 5X3
%e ..0..0..0....0..0..1....1..0..0....1..1..1....1..1..1....0..0..1....0..0..0
%e ..1..1..1....1..1..0....1..1..0....0..1..1....0..1..1....1..1..1....1..1..1
%e ..1..1..1....0..1..1....0..1..0....0..1..0....1..1..1....1..1..0....1..0..1
%e ..1..1..1....1..1..0....0..1..0....0..1..0....0..1..1....0..0..0....1..1..1
%e ..0..0..1....1..1..1....0..1..0....0..1..0....1..0..0....1..0..0....0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Apr 19 2011
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