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%I A188871 #5 Mar 31 2012 12:36:14
%S A188871 44,1936,65656,2368612,84965120,3043939392,109002398784,3903192037184,
%T A188871 139764515932928,5004636736643072,179204127483438080,
%U A188871 6416872410001742848,229772891432953663488,8227619010998404489216,294611405650426832932864
%N A188871 Number of nX6 binary arrays without the pattern 0 0 0 antidiagonally or horizontally
%C A188871 Column 6 of A188874
%H A188871 R. H. Hardin, <a href="/A188871/b188871.txt">Table of n, a(n) for n = 1..200</a>
%F A188871 Empirical: a(n) = 44*a(n-1) -288*a(n-2) -96*a(n-3) -5152*a(n-4) +62016*a(n-5) +22400*a(n-6) -907712*a(n-7) +671744*a(n-8) +4370432*a(n-9) -5936128*a(n-10) -3608576*a(n-11) +6844416*a(n-12) +393216*a(n-13) -2097152*a(n-14) +262144*a(n-15) for n>17
%e A188871 Some solutions for 3X6
%e A188871 ..0..1..1..1..1..1....1..0..1..1..0..0....1..1..1..1..1..1....1..0..1..0..1..0
%e A188871 ..0..1..1..1..1..1....0..1..1..1..1..1....1..1..0..0..1..0....0..0..1..0..1..1
%e A188871 ..0..1..1..1..1..0....0..1..0..1..1..0....0..1..1..1..1..0....0..1..1..1..0..0
%K A188871 nonn
%O A188871 1,1
%A A188871 _R. H. Hardin_ Apr 12 2011

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