A204230 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards

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

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