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A180997 T(n,k)=number of nXk binary matrices with rows and columns each in strictly increasing order as binary numbers and no 1 neighboring another 1 3

%I #3 Mar 31 2012 12:35:49

%S 2,1,1,0,2,0,0,1,1,0,0,0,3,0,0,0,0,2,2,0,0,0,0,0,7,0,0,0,0,0,0,5,5,0,

%T 0,0,0,0,0,0,26,0,0,0,0,0,0,0,0,21,21,0,0,0,0,0,0,0,0,0,145,0,0,0,0,0,

%U 0,0,0,0,0,124,124,0,0,0,0,0,0,0,0,0,0,0,1269,0,0,0,0,0,0,0,0,0,0,0,0,1145

%N T(n,k)=number of nXk binary matrices with rows and columns each in strictly increasing order as binary numbers and no 1 neighboring another 1

%C Table starts

%C .2.1.0.0..0...0....0.....0......0........0.........0...........0.............0

%C .1.2.1.0..0...0....0.....0......0........0.........0...........0.............0

%C .0.1.3.2..0...0....0.....0......0........0.........0...........0.............0

%C .0.0.2.7..5...0....0.....0......0........0.........0...........0.............0

%C .0.0.0.5.26..21....0.....0......0........0.........0...........0.............0

%C .0.0.0.0.21.145..124.....0......0........0.........0...........0.............0

%C .0.0.0.0..0.124.1269..1145......0........0.........0...........0.............0

%C .0.0.0.0..0...0.1145.16666..15521........0.........0...........0.............0

%C .0.0.0.0..0...0....0.15521.336209...320688.........0...........0.............0

%C .0.0.0.0..0...0....0.....0.320688.10197321...9876633...........0.............0

%C .0.0.0.0..0...0....0.....0......0..9876633.469338906...459462273.............0

%C .0.0.0.0..0...0....0.....0......0........0.459462273.32492055785...32032593512

%C .0.0.0.0..0...0....0.....0......0........0.........0.32032593512.3394528588557

%C .0.0.0.0..0...0....0.....0......0........0.........0...........0.3362495995045

%C .0.0.0.0..0...0....0.....0......0........0.........0...........0.............0

%H R. H. Hardin, <a href="/A180997/b180997.txt">Table of n, a(n) for n=1..1200</a>

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Sep 30 2010

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