A200831 T(n,k)=Number of nXk 0..5 arrays with every row and column running average nondecreasing rightwards and downwards

6, 21, 21, 69, 196, 69, 219, 1630, 1630, 219, 679, 12776, 33540, 12776, 679, 2070, 96511, 642953, 642953, 96511, 2070, 6235, 709506, 11757774, 29830782, 11757774, 709506, 6235, 18608, 5112134, 207535740, 1307781737, 1307781737, 207535740

Offset

1,1

Comments

Table starts

......6.........21...........69............219..............679

.....21........196.........1630..........12776............96511

.....69.......1630........33540.........642953.........11757774

....219......12776.......642953.......29830782.......1307781737

....679......96511.....11757774.....1307781737.....136335515996

...2070.....709506....207535740....54981059192...13551445405790

...6235....5112134...3568229516..2243416408567.1303531416951055

..18608...36238976..60064451704.89423476817120

..55148..253579683.994081203872

.162532.1755615191

Links

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

Example

Some solutions for n=5 k=3
..0..0..0....0..0..3....0..0..1....0..0..2....0..0..1....0..0..1....0..0..0
..0..0..0....0..0..5....0..0..4....0..0..4....0..0..3....0..0..1....0..0..1
..0..0..4....0..0..4....0..0..5....0..0..3....0..0..3....0..1..3....0..0..5
..0..0..2....0..2..4....1..1..5....0..1..4....1..2..3....0..2..4....0..1..3
..2..5..5....0..4..4....1..1..4....2..5..5....3..3..5....2..5..4....0..2..5

Crossrefs

Column 1 is A200761

Sequence in context: A064929 A298266 A302202 * A184291 A102993 A276803

Adjacent sequences: A200828 A200829 A200830 * A200832 A200833 A200834

Keyword

nonn,tabl

Author

R. H. Hardin Nov 23 2011

Status

approved