A268019 T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

3, 9, 9, 27, 81, 27, 78, 729, 729, 78, 222, 6084, 19683, 6084, 222, 622, 49284, 474552, 474552, 49284, 622, 1722, 386884, 10941048, 31831908, 10941048, 386884, 1722, 4719, 2965284, 240641848, 2012075697, 2012075697, 240641848, 2965284, 4719

Offset: 1

Author

R. H. Hardin, Jan 24 2016

Keywords

• nonn
• tabl

Comments

Table starts

.....3..........9.............27................78.................222

.....9.........81............729..............6084...............49284

....27........729..........19683............474552............10941048

....78.......6084.........474552..........31831908..........2012075697

...222......49284.......10941048........2012075697........343790697459

...622.....386884......240641848......119453097281......54331933243657

..1722....2965284.....5106219048.....6761580343329....8093513353675817

..4719...22268961...105087226959...367501986337710.1146370541408659891

.12821..164378041..2107490863661.19300005472710895

.34575.1195430625.41332013859375

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: a(n) = 6*a(n-1) -9*a(n-2) -4*a(n-3) +9*a(n-4) +6*a(n-5) +a(n-6)

k=2: [order 15]

k=3: [order 28]