A201195 - OEIS

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

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: A344125 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