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A201033 T(n,k)=Number of nXk 0..4 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other 8
5, 10, 10, 17, 10, 17, 15, 41, 41, 15, 8, 295, 296, 295, 8, 61, 159, 4238, 4238, 159, 61, 206, 4587, 3602, 30157, 3602, 4587, 206, 410, 8476, 249211, 96844, 96844, 249211, 8476, 410, 426, 33401, 1055902, 6814915, 2579473, 6814915, 1055902, 33401, 426 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...5.....10........17.........15..........8..........61........206.........410

..10.....10........41........295........159........4587.......8476.......33401

..17.....41.......296.......4238.......3602......249211....1055902.....8657121

..15....295......4238......30157......96844.....6814915..221032490..3642791292

...8....159......3602......96844....2579473....78447852.2410888256.76028824895

..61...4587....249211....6814915...78447852.21586894705

.206...8476...1055902..221032490.2410888256

.410..33401...8657121.3642791292

.426.272191.141222119

.228.128622

LINKS

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

EXAMPLE

Some solutions for n=5 k=3

..0..0..1....0..1..3....0..1..1....0..0..1....0..0..0....0..1..1....0..1..2

..0..4..2....0..1..3....0..2..3....0..2..1....2..2..4....0..4..2....0..1..3

..1..3..2....0..1..4....0..4..2....3..4..4....1..3..4....0..4..2....0..2..4

..2..3..3....2..3..4....2..3..4....1..2..3....1..3..3....1..3..4....1..4..3

..1..4..4....2..2..4....1..4..3....2..4..3....1..2..4....2..3..3....2..4..3

CROSSREFS

Column 1 is A200940

Sequence in context: A038671 A101866 A226992 * A242894 A256641 A032242

Adjacent sequences:  A201030 A201031 A201032 * A201034 A201035 A201036

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 26 2011

STATUS

approved

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Last modified December 7 11:15 EST 2016. Contains 278872 sequences.