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A181009
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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
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1
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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, 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, 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
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OFFSET
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1,25
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COMMENTS
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Table starts
.0.0.0.0.0......0.0..........0.0..............0.0............0.0...........0.0
.0.0.0.0.0......0.0..........0.0..............0.0............0.0...........0.0
.0.0.0.1.0......0.0..........0.0..............0.0............0.0...........0.0
.0.0.0.2.0......0.0..........1.0..............0.0............0.0...........0.0
.0.0.0.2.0.....62.0........199.0............168.0...........77.0...........0.0
.0.0.0.2.0....600.0......16358.0.........173145.0.......914322.0.....2666391.0
.0.0.0.1.0...3733.0.....653236.0.......41701318.0...1424323084.0.29927830680..
.0.0.0.0.0..16766.0...16940275.0.....5556267319.0.969187520899.0..............
.0.0.0.0.0..59570.0..338483569.0...527470107599.0.............................
.0.0.0.0.0.175299.0.5562102737.0.39865133669986...............................
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LINKS
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EXAMPLE
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All solutions for 4X4
..0..0..0..0....0..0..1..1
..0..0..1..1....0..1..0..1
..0..1..0..1....0..1..1..0
..1..0..0..1....1..1..1..1
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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