A202560 T(n,k)=Number of nXk 0,1 arrays with the row and column sums nondecreasing.

2, 3, 3, 4, 8, 4, 5, 17, 17, 5, 6, 37, 66, 37, 6, 7, 73, 235, 235, 73, 7, 8, 151, 824, 1526, 824, 151, 8, 9, 293, 2848, 9325, 9325, 2848, 293, 9, 10, 598, 9520, 57255, 103806, 57255, 9520, 598, 10, 11, 1159, 31648, 342295, 1126437, 1126437, 342295, 31648, 1159, 11

Offset: 1

Author

R. H. Hardin Dec 21 2011

Keywords

• nonn
• tabl

Comments

Table starts

..2....3......4........5...........6.............7..............8

..3....8.....17.......37..........73...........151............293

..4...17.....66......235.........824..........2848...........9520

..5...37....235.....1526........9325.........57255.........342295

..6...73....824.....9325......103806.......1126437.......12176148

..7..151...2848....57255.....1126437......22360610......436020774

..8..293...9520...342295....12176148.....436020774....15635171834

..9..598..31648..2048759...130217215....8531393529...557315843073

.10.1159.104536.12097875..1384437590..165372103634.19890838348436

.11.2358.339553.71623580.14638759530.3209822188135

Examples

			Some solutions for n=8 k=3
..0..1..1....0..1..0....0..0..0....0..0..1....0..0..1....0..0..0....0..0..0
..1..1..0....0..0..1....0..1..0....1..0..0....0..1..0....0..1..0....0..1..1
..1..0..1....0..0..1....0..0..1....0..0..1....0..0..1....0..1..0....0..1..1
..0..1..1....1..0..0....0..1..0....0..0..1....0..1..0....1..0..0....1..0..1
..0..1..1....0..0..1....1..0..1....0..1..0....0..0..1....0..0..1....0..1..1
..1..0..1....0..1..0....0..1..1....0..1..0....1..1..0....1..0..1....1..0..1
..1..1..0....0..0..1....0..1..1....0..1..0....1..1..0....0..1..1....1..1..0
..1..0..1....1..0..0....1..1..1....1..0..0....1..0..1....0..1..1....0..1..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..127