A200534 T(n,k)=Number of nXk 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.

3, 6, 6, 11, 20, 11, 19, 57, 57, 19, 32, 146, 243, 146, 32, 53, 354, 905, 905, 354, 53, 87, 825, 3135, 4848, 3135, 825, 87, 142, 1873, 10292, 23925, 23925, 10292, 1873, 142, 231, 4169, 32556, 111085, 167171, 111085, 32556, 4169, 231, 375, 9144, 100065, 494555

Offset: 1

Author

R. H. Hardin Nov 18 2011

Keywords

• nonn
• tabl

Comments

Table starts

...3.....6.....11.......19.........32..........53............87............142

...6....20.....57......146........354.........825..........1873...........4169

..11....57....243......905.......3135.......10292.........32556.........100065

..19...146....905.....4848......23925......111085........494555........2132979

..32...354...3135....23925.....167171.....1092645.......6820330.......41135050

..53...825..10292...111085....1092645....10000162......87098434......731106792

..87..1873..32556...494555....6820330....87098434....1056792824....12348422785

.142..4169.100065..2132979...41135050...731106792...12348422785...201092476918

.231..9144.300847..8981773..241717185..5964324991..140068079857..3178929109296

.375.19825.888587.37125420.1391776867.47562454949.1551453118671.49064050909052

Examples

			Some solutions for n=6 k=4
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..1....0..0..0..1
..0..0..1..2....0..0..0..0....0..0..0..1....0..0..1..2....0..0..1..1
..0..1..1..2....0..2..2..2....0..0..0..1....0..2..1..2....0..1..2..1
..0..2..2..2....1..1..1..2....1..1..1..2....0..1..2..2....0..1..1..1
..0..2..1..2....1..1..2..2....2..2..2..2....2..2..2..2....0..2..2..2
..0..2..2..2....2..2..2..2....1..1..2..2....1..2..2..2....1..1..2..2
		

Links

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

Crossrefs

Column 1 is A001911(n+1)