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A188991 Number of nX8 binary arrays without the pattern 0 0 1 antidiagonally or horizontally.

%I A188991 #7 Jul 22 2025 11:30:59
%S A188991 88,7744,364088,16035624,669102268,27666931400,1139359314152,
%T A188991 46897992282392,1930338232612032,79452367353103728,
%U A188991 3270241701215854104,134602347431894802032,5540199508617476132752,228033245642595584486776
%N A188991 Number of nX8 binary arrays without the pattern 0 0 1 antidiagonally or horizontally.
%C A188991 Column 8 of A188992
%H A188991 R. H. Hardin, <a href="/A188991/b188991.txt">Table of n, a(n) for n = 1..200</a>
%F A188991 Empirical: a(n) = 56*a(n-1) -580*a(n-2) -2483*a(n-3) +53864*a(n-4) -142516*a(n-5) -861420*a(n-6) +6667480*a(n-7) -9042400*a(n-8) -26734896*a(n-9) -222171104*a(n-10) +1190322000*a(n-11) -634672960*a(n-12) -756388160*a(n-13) -7962248640*a(n-14) +16790951424*a(n-15) +70954240*a(n-16) -8696557312*a(n-17) -17592663040*a(n-18) +21510688768*a(n-19) -693170176*a(n-20) -31580160*a(n-21) -1455161344*a(n-22) -2287714304*a(n-23) +990117888*a(n-24) +65208320*a(n-25) -314834944*a(n-26) +58982400*a(n-27) for n>32
%e A188991 Some solutions for 3X8
%e A188991 ..0..1..1..0..1..1..0..0....0..1..1..1..0..0..0..0....0..1..0..1..1..1..0..1
%e A188991 ..1..0..1..1..0..1..1..0....0..1..0..1..0..1..0..1....1..1..1..1..1..1..0..0
%e A188991 ..0..1..0..0..0..0..0..0....0..1..1..0..0..0..0..0....0..1..0..1..1..0..0..0
%K A188991 nonn
%O A188991 1,1
%A A188991 _R. H. Hardin_ Apr 15 2011