A181000 T(n,k)=number of nXk binary matrices with rows and columns each in strictly increasing order as binary numbers and each row and column having an odd number of 1s

1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 21, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 127, 613, 127, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 211, 16610, 58894, 16610, 211, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset

1,25

Comments

Table starts

.1.0.0.0...0......0.......0..........0...........0..............0

.0.1.0.0...0......0.......0..........0...........0..............0

.0.0.1.0...0......0.......0..........0...........0..............0

.0.0.0.3...0......2.......0..........0...........0..............0

.0.0.0.0..21......0.....127..........0.........211..............0

.0.0.0.2...0....613.......0......16610...........0.........173337

.0.0.0.0.127......0...58894..........0.....5724089..............0

.0.0.0.0...0..16610.......0...17001258...........0.....5560851506

.0.0.0.0.211......0.5724089..........0.14824281524..............0

.0.0.0.0...0.173337.......0.5560851506...........0.39871721434052

Links

R. H. Hardin, Table of n, a(n) for n=1..220

Example

All solutions for 3X3
..0..0..1
..0..1..0
..1..0..0

Crossrefs

Sequence in context: A307802 A169585 A045840 * A335453 A061853 A010104

Adjacent sequences: A180997 A180998 A180999 * A181001 A181002 A181003

Keyword

nonn,tabl

Author

R. H. Hardin Sep 30 2010

Status

approved