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

1,1

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

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]

Example

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

Crossrefs

Sequence in context: A072404 A222996 A268026 * A228977 A223576 A125824

Adjacent sequences: A268016 A268017 A268018 * A268020 A268021 A268022

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 24 2016

Status

approved