A202168 T(n,k)=Number of nXk 0..3 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, 4, 4, 0, 0, 44, 55, 44, 0, 0, 288, 752, 752, 288, 0, 0, 1537, 8238, 11710, 8238, 1537, 0, 0, 7328, 77960, 179588, 179588, 77960, 7328, 0, 0, 32515, 663054, 2676343, 3903255, 2676343, 663054, 32515, 0, 0, 137127, 5215498, 37614057

Offset

1,8

Comments

Table starts

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

.0......0.........4..........44............288............1537............7328

.0......4........55.........752...........8238...........77960..........663054

.0.....44.......752.......11710.........179588.........2676343........37614057

.0....288......8238......179588........3903255........88303390......1985266297

.0...1537.....77960.....2676343.......88303390......3063974013....110128420642

.0...7328....663054....37614057.....1985266297....110128420642...6430557449984

.0..32515...5215498...496039542....43093291210...3960786183601.384253846782773

.0.137127..38678959..6176635954...895549588005.139514050047943

.0.557042.274025004.73211917384.17829604595006

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Example

Some solutions for n=6 k=3
..0..0..0....0..0..0....0..0..1....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..1....0..0..0....0..0..2....0..1..3....0..0..0....1..1..1....0..2..3
..0..1..3....0..0..2....0..2..3....0..2..2....0..1..1....2..2..3....1..2..2
..0..2..3....2..2..3....0..1..3....1..1..2....0..3..2....1..1..2....3..3..3
..3..3..3....3..3..3....3..3..3....3..3..3....1..1..1....1..3..2....2..2..2
..1..2..3....1..3..2....1..2..3....2..2..2....2..2..3....2..3..3....2..2..2

Crossrefs

Sequence in context: A276339 A260318 A075866 * A156450 A067007 A066298

Adjacent sequences: A202165 A202166 A202167 * A202169 A202170 A202171

Keyword

nonn,tabl

Author

R. H. Hardin Dec 13 2011

Status

approved