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.

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

Offset

1,25

Comments

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...............................

Links

R. H. Hardin, Table of n, a(n) for n=1..198

Example

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

Crossrefs

Sequence in context: A332014 A331984 A087781 * A270599 A091398 A374175

Adjacent sequences: A181006 A181007 A181008 * A181010 A181011 A181012

Keyword

nonn,tabl

Author

R. H. Hardin, Sep 30 2010

Status

approved