A201033 T(n,k)=Number of nXk 0..4 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

5, 10, 10, 17, 10, 17, 15, 41, 41, 15, 8, 295, 296, 295, 8, 61, 159, 4238, 4238, 159, 61, 206, 4587, 3602, 30157, 3602, 4587, 206, 410, 8476, 249211, 96844, 96844, 249211, 8476, 410, 426, 33401, 1055902, 6814915, 2579473, 6814915, 1055902, 33401, 426

Offset: 1

Author

R. H. Hardin Nov 26 2011

Keywords

• nonn
• tabl

Comments

Table starts

...5.....10........17.........15..........8..........61........206.........410

..10.....10........41........295........159........4587.......8476.......33401

..17.....41.......296.......4238.......3602......249211....1055902.....8657121

..15....295......4238......30157......96844.....6814915..221032490..3642791292

...8....159......3602......96844....2579473....78447852.2410888256.76028824895

..61...4587....249211....6814915...78447852.21586894705

.206...8476...1055902..221032490.2410888256

.410..33401...8657121.3642791292

.426.272191.141222119

.228.128622

Examples

			Some solutions for n=5 k=3
..0..0..1....0..1..3....0..1..1....0..0..1....0..0..0....0..1..1....0..1..2
..0..4..2....0..1..3....0..2..3....0..2..1....2..2..4....0..4..2....0..1..3
..1..3..2....0..1..4....0..4..2....3..4..4....1..3..4....0..4..2....0..2..4
..2..3..3....2..3..4....2..3..4....1..2..3....1..3..3....1..3..4....1..4..3
..1..4..4....2..2..4....1..4..3....2..4..3....1..2..4....2..3..3....2..4..3
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..71

Crossrefs

Column 1 is A200940