A201345 T(n,k)=Number of nXk 0..4 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease

0, 0, 0, 0, 0, 0, 0, 15, 15, 0, 0, 213, 295, 213, 0, 0, 2007, 6304, 6304, 2007, 0, 0, 15497, 120750, 194873, 120750, 15497, 0, 0, 106589, 1977305, 6442039, 6442039, 1977305, 106589, 0, 0, 680287, 28778603, 204185475, 365946958, 204185475, 28778603

Offset

1,8

Comments

Table starts

.0........0..........0............0.............0.............0.............0

.0........0.........15..........213..........2007.........15497........106589

.0.......15........295.........6304........120750.......1977305......28778603

.0......213.......6304.......194873.......6442039.....204185475....6035149800

.0.....2007.....120750......6442039.....365946958...21233514530.1207482454151

.0....15497....1977305....204185475...21233514530.2272075034938

.0...106589...28778603...6035149800.1207482454151

.0...680287..384578235.166685904910

.0..4118949.4826582648

.0.23981337

Links

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

Example

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

Crossrefs

Sequence in context: A358067 A048294 A248391 * A280313 A291369 A069785

Adjacent sequences: A201342 A201343 A201344 * A201346 A201347 A201348

Keyword

nonn,tabl

Author

R. H. Hardin Nov 30 2011

Status

approved