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

1,1

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

Links

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

Example

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

Crossrefs

Column 1 is A200940

Sequence in context: A101866 A331070 A226992 * A242894 A256641 A032242

Adjacent sequences: A201030 A201031 A201032 * A201034 A201035 A201036

Keyword

nonn,tabl

Author

R. H. Hardin Nov 26 2011

Status

approved