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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 6
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 (list; table; graph; refs; listen; history; text; internal format)
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: A291490 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

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Last modified October 20 15:08 EDT 2019. Contains 328267 sequences. (Running on oeis4.)