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A200777 T(n,k)=Number of nXk 0..2 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 9
3, 3, 3, 2, 5, 2, 7, 5, 5, 7, 9, 20, 13, 20, 9, 6, 37, 31, 31, 37, 6, 22, 31, 77, 342, 77, 31, 22, 30, 144, 217, 1368, 1368, 217, 144, 30, 20, 273, 553, 1806, 7725, 1806, 553, 273, 20, 75, 218, 1438, 18801, 13422, 13422, 18801, 1438, 218, 75, 105, 1054, 3849, 66784, 194535 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..3....3....2......7........9.........6..........22...........30............20

..3....5....5.....20.......37........31.........144..........273...........218

..2....5...13.....31.......77.......217.........553.........1438..........3849

..7...20...31....342.....1368......1806.......18801........66784.........80772

..9...37...77...1368.....7725.....13422......194535.......980702.......1678693

..6...31..217...1806....13422.....91755......633413......4472626......30905995

.22..144..553..18801...194535....633413....17965438....171117355.....537341613

.30..273.1438..66784...980702...4472626...171117355...2189118202....9237040535

.20..218.3849..80772..1678693..30905995...537341613...9237040535..159001066390

.75.1054.9634.855668.24878620.209517906.14614583388.342978784324.2722231659577

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..178

EXAMPLE

Some solutions for n=6 k=4

..0..0..0..0....0..0..1..1....0..0..0..0....0..0..0..0....0..0..0..0

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

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

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

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

..1..1..2..2....1..2..2..2....1..1..2..2....1..2..2..2....1..1..2..2

CROSSREFS

Column 1 includes A003409((n+1)/3) and A000984(n/3)

Sequence in context: A031354 A307486 A259301 * A227827 A033700 A122916

Adjacent sequences:  A200774 A200775 A200776 * A200778 A200779 A200780

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 22 2011

STATUS

approved

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Last modified October 17 21:57 EDT 2019. Contains 328134 sequences. (Running on oeis4.)