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A201195 T(n,k)=Number of nXk 0..2 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease 8
0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 6, 8, 6, 0, 0, 24, 45, 45, 24, 0, 0, 80, 225, 276, 225, 80, 0, 0, 239, 1005, 1742, 1742, 1005, 239, 0, 0, 665, 4104, 10723, 13375, 10723, 4104, 665, 0, 0, 1756, 15592, 62507, 104429, 104429, 62507, 15592, 1756, 0, 0, 4459, 55914, 341239 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,12

COMMENTS

Table starts

.0....0......0.......0.........0..........0............0.............0

.0....0......1.......6........24.........80..........239...........665

.0....1......8......45.......225.......1005.........4104.........15592

.0....6.....45.....276......1742......10723........62507........341239

.0...24....225....1742.....13375.....104429.......817653.......6227099

.0...80...1005...10723....104429.....994581......9782242......98775535

.0..239...4104...62507....817653....9782242....117867542....1504100224

.0..665..15592..341239...6227099...98775535...1504100224...23922555921

.0.1756..55914.1756705..45507712..992953397..20036576547..407696445449

.0.4459.191522.8615033.318531032.9709526788.268650529838.7294329757608

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..161

EXAMPLE

Some solutions for n=4 k=7

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

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

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

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

CROSSREFS

Sequence in context: A319032 A073462 A231095 * A266092 A143627 A105798

Adjacent sequences:  A201192 A201193 A201194 * A201196 A201197 A201198

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 28 2011

STATUS

approved

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Last modified May 8 11:51 EDT 2021. Contains 343666 sequences. (Running on oeis4.)