A237738 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with the (lower) median of each row and column nondecreasing

144, 790, 790, 3720, 13259, 3720, 18284, 105639, 105639, 18284, 83776, 1707200, 1659924, 1707200, 83776, 389862, 13980344, 38387146, 38387146, 13980344, 389862, 1747320, 219064013, 639694176, 3285354224, 639694176, 219064013, 1747320

Offset

1,1

Comments

Table starts

.......144...........790...........3720.............18284.............83776

.......790.........13259.........105639...........1707200..........13980344

......3720........105639........1659924..........38387146.........639694176

.....18284.......1707200.......38387146........3285354224.......78198241984

.....83776......13980344......639694176.......78198241984.....4209480134144

....389862.....219064013....13279334007.....6351885785786...429611650170264

...1747320....1853523145...226316321580...159454491881910.25303989249262240

...7872964...28043965682..4405469041518.12257643095551296

..34692768..244945512750.75639307776048

.153039484.3576754641447

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

Some solutions for n=2 k=4
..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..1..0..0....1..1..0..0..1..0....0..0..0..1..0..0....1..1..0..0..0..1
..0..1..0..0..0..1....0..0..0..0..1..1....0..1..0..1..0..1....0..0..1..0..0..1
..0..1..1..0..1..0....1..1..0..0..0..0....1..0..1..0..1..1....0..0..0..1..1..1

Crossrefs

Sequence in context: A268806 A112067 A210724 * A237734 A234091 A234084

Adjacent sequences: A237735 A237736 A237737 * A237739 A237740 A237741

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 12 2014

Status

approved