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%I #2 Mar 31 2012 12:35:49
%S 0,0,6,873,194176,91610331,106664349231,337206602197275,
%T 3097011674559184126,86891156143807447975507,
%U 7735857823114195427126194239,2249860503567334385742963521466736
%N Number of (n+3)xn binary matrices with rows and then columns in strictly increasing order as binary numbers
%C Subdiagonal 3 of A180989
%e All solutions for 6X3
%e ..0..0..0....0..0..0....0..0..0....0..0..1....0..0..1....0..0..1
%e ..0..0..1....0..0..1....0..1..1....0..1..0....0..1..0....0..1..1
%e ..0..1..0....0..1..1....1..0..0....0..1..1....1..0..0....1..0..0
%e ..1..0..0....1..0..0....1..0..1....1..0..0....1..0..1....1..0..1
%e ..1..0..1....1..0..1....1..1..0....1..0..1....1..1..0....1..1..0
%e ..1..1..0....1..1..0....1..1..1....1..1..0....1..1..1....1..1..1
%K nonn
%O 1,3
%A _R. H. Hardin_ Sep 30 2010