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Number of 7Xn binary arrays without the pattern 0 0 diagonally or vertically
1

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

%S 34,697,14925,318732,6814290,145764780,3118943536,66743533552,

%T 1428321913952,30566631602016,654139520133696,13998888884058752,

%U 299582781445141504,6411212320129846144,137202959280321342208

%N Number of 7Xn binary arrays without the pattern 0 0 diagonally or vertically

%C Row 7 of A188706

%H R. H. Hardin, <a href="/A188711/b188711.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 34*a(n-1) -324*a(n-2) +1264*a(n-3) -2236*a(n-4) +1816*a(n-5) -624*a(n-6) +64*a(n-7) for n>9

%e Some solutions for 7X3

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 08 2011