A200831 T(n,k)=Number of nXk 0..5 arrays with every row and column running average nondecreasing rightwards and downwards.

6, 21, 21, 69, 196, 69, 219, 1630, 1630, 219, 679, 12776, 33540, 12776, 679, 2070, 96511, 642953, 642953, 96511, 2070, 6235, 709506, 11757774, 29830782, 11757774, 709506, 6235, 18608, 5112134, 207535740, 1307781737, 1307781737, 207535740

Offset: 1

Author

R. H. Hardin Nov 23 2011

Keywords

• nonn
• tabl

Comments

Table starts

......6.........21...........69............219..............679

.....21........196.........1630..........12776............96511

.....69.......1630........33540.........642953.........11757774

....219......12776.......642953.......29830782.......1307781737

....679......96511.....11757774.....1307781737.....136335515996

...2070.....709506....207535740....54981059192...13551445405790

...6235....5112134...3568229516..2243416408567.1303531416951055

..18608...36238976..60064451704.89423476817120

..55148..253579683.994081203872

.162532.1755615191

Examples

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

Links

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

Crossrefs

Column 1 is A200761