A222898 T(n,k)=Number of nXk 0..1 arrays with successive rows and columns fitting to straight lines with strictly increasing slope, with a single point array taken as having zero slope

2, 0, 0, 0, 5, 0, 0, 2, 2, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 251, 0, 0, 0, 0, 0, 0, 444, 444, 0, 0, 0, 0, 0, 0, 972, 1872, 972, 0, 0, 0, 0, 0, 0, 752, 8920, 8920, 752, 0, 0, 0, 0, 0, 0, 372, 6064, 720452, 6064, 372, 0, 0, 0, 0, 0, 0, 64, 0, 4109604, 4109604, 0, 64, 0, 0, 0, 0, 0, 0

Offset

1,1

Comments

Table starts

.2.0.0...0....0.........0.........0.........0..........0.........0.0.0.0.0.0

.0.5.2...0....0.........0.........0.........0..........0.........0.0.0.0.0

.0.2.8...0....0.........0.........0.........0..........0.........0.0.0.0

.0.0.0.251..444.......972.......752.......372.........64.........0.0.0

.0.0.0.444.1872......8920......6064.........0..........0.........0.0

.0.0.0.972.8920....720452...4109604..49760067..193345960.989498744

.0.0.0.752.6064...4109604..33675352.845060178.3867788696

.0.0.0.372....0..49760067.845060178

.0.0.0..64....0.193345960

.0.0.0...0....0

.0.0.0...0

.0.0.0

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Example

Some solutions for n=4 k=4
..1..1..0..0....1..1..0..0....1..0..0..0....1..1..1..0....1..1..0..0
..1..1..1..0....1..0..0..0....1..0..1..0....1..0..1..1....1..0..0..0
..0..1..0..1....0..1..0..1....1..1..0..1....0..1..1..1....0..1..0..0
..0..0..0..1....0..0..1..1....1..0..1..1....0..0..1..1....0..0..0..1

Crossrefs

Sequence in context: A131427 A153198 A182492 * A113044 A333792 A082399

Adjacent sequences: A222895 A222896 A222897 * A222899 A222900 A222901

Keyword

nonn,tabl

Author

R. H. Hardin Mar 08 2013

Status

approved