%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