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A181009 T(n,k)=number of nXk binary matrices with rows and columns each in strictly increasing order as binary numbers and the number of 1s in rows being even and in columns being odd 1

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

%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,

%T 0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,62,0,1,0,0,0,0,0,0,1,0,600,0,0,0,0,0,0,

%U 0,0,0,199,0,3733,0,0,0,0,0,0,0,0,0,0,16358,0,16766,0,0,0,0,0,0,0,0,0,168,0

%N T(n,k)=number of nXk binary matrices with rows and columns each in strictly increasing order as binary numbers and the number of 1s in rows being even and in columns being odd

%C Table starts

%C .0.0.0.0.0......0.0..........0.0..............0.0............0.0...........0.0

%C .0.0.0.0.0......0.0..........0.0..............0.0............0.0...........0.0

%C .0.0.0.1.0......0.0..........0.0..............0.0............0.0...........0.0

%C .0.0.0.2.0......0.0..........1.0..............0.0............0.0...........0.0

%C .0.0.0.2.0.....62.0........199.0............168.0...........77.0...........0.0

%C .0.0.0.2.0....600.0......16358.0.........173145.0.......914322.0.....2666391.0

%C .0.0.0.1.0...3733.0.....653236.0.......41701318.0...1424323084.0.29927830680..

%C .0.0.0.0.0..16766.0...16940275.0.....5556267319.0.969187520899.0..............

%C .0.0.0.0.0..59570.0..338483569.0...527470107599.0.............................

%C .0.0.0.0.0.175299.0.5562102737.0.39865133669986...............................

%H R. H. Hardin, <a href="/A181009/b181009.txt">Table of n, a(n) for n=1..198</a>

%e All solutions for 4X4

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

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

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

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

%K nonn,tabl

%O 1,25

%A _R. H. Hardin_ Sep 30 2010

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Last modified August 31 08:34 EDT 2024. Contains 375560 sequences. (Running on oeis4.)