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

1,1

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

Links

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

Example

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

Crossrefs

Column 1 is A001911(n+1)

Sequence in context: A066779 A132384 A201155 * A138743 A184284 A287882

Adjacent sequences: A200531 A200532 A200533 * A200535 A200536 A200537

Keyword

nonn,tabl

Author

R. H. Hardin Nov 18 2011

Status

approved