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A188990 Number of nX7 binary arrays without the pattern 0 0 1 antidiagonally or horizontally 1

%I #5 Mar 31 2012 12:36:14

%S 54,2916,89744,2613530,72609144,2002277608,55080396536,1515192856324,

%T 41677443278252,1146393385863412,31532963467317340,867353027986156300,

%U 23857611484854924172,656232939488766364764,18050493852378599289948

%N Number of nX7 binary arrays without the pattern 0 0 1 antidiagonally or horizontally

%C Column 7 of A188992

%H R. H. Hardin, <a href="/A188990/b188990.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 35*a(n-1) -175*a(n-2) -1169*a(n-3) +8904*a(n-4) -5838*a(n-5) -78636*a(n-6) +390264*a(n-7) -535812*a(n-8) -1472012*a(n-9) +4073408*a(n-10) -2206456*a(n-11) +439232*a(n-12) -2614848*a(n-13) +1784672*a(n-14) +415680*a(n-15) +176768*a(n-16) -281856*a(n-17) -92160*a(n-18) for n>22

%e Some solutions for 3X7

%e ..1..1..1..1..0..1..1....0..1..0..1..0..1..0....1..1..0..1..1..1..1

%e ..0..1..1..1..1..1..1....0..1..1..1..0..1..1....0..1..1..1..0..1..0

%e ..1..0..1..0..1..0..0....1..1..0..0..0..0..0....0..1..0..0..0..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 15 2011

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Last modified April 19 07:33 EDT 2024. Contains 371782 sequences. (Running on oeis4.)