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A200831 T(n,k)=Number of nXk 0..5 arrays with every row and column running average nondecreasing rightwards and downwards 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified March 29 22:15 EDT 2023. Contains 361599 sequences. (Running on oeis4.)