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A204230 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards 9
81, 450, 450, 2500, 4539, 2500, 11100, 44641, 44641, 11100, 49284, 312001, 752562, 312001, 49284, 192474, 2173565, 8183170, 8183170, 2173565, 192474, 751689, 12097076, 87487117, 129062037, 87487117, 12097076, 751689, 2707641, 67329896 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......81.......450........2500.........11100...........49284...........192474

.....450......4539.......44641........312001.........2173565.........12097076

....2500.....44641......752562.......8183170........87487117........694547816

...11100....312001.....8183170.....129062037......2019310610......21958547501

...49284...2173565....87487117....2019310610.....45791699846.....687853333430

..192474..12097076...694547816...21958547501....687853333430...13629970952083

..751689..67329896..5466340007..239090847020..10297878073062..271354063234561

.2707641.320850651.34834605810.1998393334223.113754005579615.3835838251329000

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..111

EXAMPLE

Some solutions for n=4 k=3

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

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

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

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

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

CROSSREFS

Sequence in context: A236705 A253749 A253375 * A235441 A235406 A253742

Adjacent sequences:  A204227 A204228 A204229 * A204231 A204232 A204233

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 13 2012

STATUS

approved

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Last modified September 22 16:41 EDT 2019. Contains 327311 sequences. (Running on oeis4.)