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A180995 T(n,k)=number of nXk binary matrices with rows and columns each in strictly increasing order as binary numbers and all numbers unique 1

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

%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,0,0,0,0,6,28,6,0,0,0,0,6,187,

%T 187,6,0,0,0,0,4,780,2474,780,4,0,0,0,0,1,1912,23621,23621,1912,1,0,0,

%U 0,0,0,3108,171671,470008,171671,3108,0,0,0,0,0,0,3853,885923,7492039,7492039

%N T(n,k)=number of nXk binary matrices with rows and columns each in strictly increasing order as binary numbers and all numbers unique

%C Table starts

%C .0.0.0....0........0.........0..........0..........0.........0..........0

%C .0.0.0....0........0.........0..........0..........0.........0..........0

%C .0.0.0....3........6.........6..........4..........1.........0..........0

%C .0.0.3...28......187.......780.......1912.......3108......3853.......3731

%C .0.0.6..187.....2474.....23621.....171671.....885923...3365708...10119429

%C .0.0.6..780....23621....470008....7492039...92532010.897123586.6972178362

%C .0.0.4.1912...171671...7492039..233399774.6228138303.....................

%C .0.0.1.3108...885923..92532010.6228138303................................

%C .0.0.0.3853..3365708.897123586...........................................

%C .0.0.0.3731.10119429.....................................................

%H R. H. Hardin, <a href="/A180995/b180995.txt">Table of n, a(n) for n=1..111</a>

%e All solutions for 3X4

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

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

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

%K nonn,tabl

%O 1,18

%A _R. H. Hardin_ Sep 30 2010

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Last modified March 29 09:44 EDT 2024. Contains 371268 sequences. (Running on oeis4.)