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%I #5 Mar 31 2012 12:36:13
%S 12,144,857,4008,20662,120839,708519,3984317,22096751,123685638,
%T 697749740,3933600940,22113174257,124226310961,698384857435,
%U 3928070328882,22091307667400,124217141507585,698440667872786
%N Number of nX4 binary arrays without the pattern 0 1 0 diagonally, vertically, antidiagonally or horizontally
%C Column 4 of A188695
%H R. H. Hardin, <a href="/A188690/b188690.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 8*a(n-1) -20*a(n-2) +38*a(n-3) +44*a(n-4) -252*a(n-5) -94*a(n-6) -173*a(n-7) +417*a(n-8) +2548*a(n-9) -384*a(n-10) +1193*a(n-11) -4772*a(n-12) -6984*a(n-13) +6677*a(n-14) -10923*a(n-15) +16477*a(n-16) +4376*a(n-17) -6808*a(n-18) +1546*a(n-19) -4577*a(n-20) +1179*a(n-21) +3261*a(n-22) -1466*a(n-23) -63*a(n-24) +121*a(n-25) -246*a(n-26) +361*a(n-27) -334*a(n-28) -3*a(n-29) +149*a(n-30) -66*a(n-31) +4*a(n-32) +2*a(n-33)
%e Some solutions for 5X4
%e ..1..1..0..0....0..0..0..1....1..1..1..1....1..1..1..0....0..0..1..1
%e ..1..0..0..0....1..0..0..1....0..0..0..1....1..1..1..0....0..0..1..1
%e ..1..1..0..0....1..1..0..1....0..0..0..0....1..1..1..1....1..0..0..1
%e ..1..1..0..0....1..1..0..0....1..0..0..0....1..1..0..1....1..1..0..1
%e ..1..0..0..1....1..0..0..0....1..1..1..0....1..1..1..0....1..1..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Apr 08 2011
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