A200777 T(n,k)=Number of nXk 0..2 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

3, 3, 3, 2, 5, 2, 7, 5, 5, 7, 9, 20, 13, 20, 9, 6, 37, 31, 31, 37, 6, 22, 31, 77, 342, 77, 31, 22, 30, 144, 217, 1368, 1368, 217, 144, 30, 20, 273, 553, 1806, 7725, 1806, 553, 273, 20, 75, 218, 1438, 18801, 13422, 13422, 18801, 1438, 218, 75, 105, 1054, 3849, 66784, 194535

Offset

1,1

Comments

Table starts

..3....3....2......7........9.........6..........22...........30............20

..3....5....5.....20.......37........31.........144..........273...........218

..2....5...13.....31.......77.......217.........553.........1438..........3849

..7...20...31....342.....1368......1806.......18801........66784.........80772

..9...37...77...1368.....7725.....13422......194535.......980702.......1678693

..6...31..217...1806....13422.....91755......633413......4472626......30905995

.22..144..553..18801...194535....633413....17965438....171117355.....537341613

.30..273.1438..66784...980702...4472626...171117355...2189118202....9237040535

.20..218.3849..80772..1678693..30905995...537341613...9237040535..159001066390

.75.1054.9634.855668.24878620.209517906.14614583388.342978784324.2722231659577

Links

R. H. Hardin, Table of n, a(n) for n = 1..178

Example

Some solutions for n=6 k=4
..0..0..0..0....0..0..1..1....0..0..0..0....0..0..0..0....0..0..0..0
..0..1..2..1....0..0..1..2....0..1..2..1....0..0..2..2....0..0..2..1
..0..2..1..2....0..0..1..2....0..1..2..1....0..0..1..1....0..1..2..1
..0..1..1..2....0..1..1..2....0..1..2..1....1..1..1..2....0..1..2..2
..0..1..2..2....0..2..1..2....0..2..2..2....1..1..2..2....1..1..2..2
..1..1..2..2....1..2..2..2....1..1..2..2....1..2..2..2....1..1..2..2

Crossrefs

Column 1 includes A003409((n+1)/3) and A000984(n/3)

Sequence in context: A031354 A307486 A259301 * A333537 A227827 A033700

Adjacent sequences: A200774 A200775 A200776 * A200778 A200779 A200780

Keyword

nonn,tabl

Author

R. H. Hardin Nov 22 2011

Status

approved