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

Author

R. H. Hardin Jan 13 2012

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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