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Number of nX(n+1) binary matrices with rows and columns each in strictly increasing order as binary numbers and every 0 adjacent to a 1 and every 1 adjacent to a 0
0

%I #2 Mar 31 2012 12:35:49

%S 1,0,0,1,1,11,127,2483,104111,9617529,2133903810,1214165065307,

%T 1855490065115456

%N Number of nX(n+1) binary matrices with rows and columns each in strictly increasing order as binary numbers and every 0 adjacent to a 1 and every 1 adjacent to a 0

%C Superdiagonal 1 of A181011

%e All solutions for 6X7

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

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

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

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

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

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

%e ...

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

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

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

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

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

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

%e ...

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

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

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

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

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

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

%e ...

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

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

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

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

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

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

%K nonn

%O 1,6

%A _R. H. Hardin_ Sep 30 2010