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Number of 8Xn binary arrays without the pattern 0 0 diagonally or vertically
1

%I #5 Mar 31 2012 12:36:13

%S 55,1681,54049,1729531,55337580,1769780565,56585607231,1808994829500,

%T 57829148027161,1848624216954643,59094629276262316,

%U 1889063777872100973,60387214464117233335,1930382199629976832828,61708017083116822627729

%N Number of 8Xn binary arrays without the pattern 0 0 diagonally or vertically

%C Row 8 of A188706

%H R. H. Hardin, <a href="/A188712/b188712.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 55*a(n-1) -933*a(n-2) +7094*a(n-3) -27502*a(n-4) +57434*a(n-5) -65257*a(n-6) +38535*a(n-7) -10341*a(n-8) +900*a(n-9) for n>11

%e Some solutions for 8X3

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 08 2011