A199261 T(n,k)=Number of nXk 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to exactly one horizontal or vertical neighbor

0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 1, 0, 18, 18, 0, 1, 0, 36, 0, 0, 0, 36, 0, 0, 0, 114, 0, 0, 114, 0, 0, 0, 0, 0, 1240, 0, 1240, 0, 0, 0, 0, 449, 713, 0, 5381, 5381, 0, 713, 449, 0, 0, 0, 0, 0, 0, 54588, 0, 0, 0, 0, 0, 5, 0, 4508, 73456, 0, 278570, 278570, 0, 73456, 4508, 0, 5, 0

Offset

1,8

Comments

Table starts

.0...0....0.....0....0.........1......0..........0..........0.........0

.0...0....3.....0....0........36......0..........0........449.........0

.0...3....0....18....0.......114......0........713..........0......4508

.0...0...18.....0....0......1240......0..........0......73456.........0

.0...0....0.....0....0......5381......0..........0..........0.........0

.1..36..114..1240.5381.....54588.278570....2397792...14900001.116469925

.0...0....0.....0....0....278570......0..........0..........0.........0

.0...0..713.....0....0...2397792......0..........0.3059210362.........0

.0.449....0.73456....0..14900001......0.3059210362..........0

.0...0.4508.....0....0.116469925......0..........0

Links

R. H. Hardin, Table of n, a(n) for n = 1..161

Example

Some solutions for n=9 k=4
..0..0..1..2....0..0..1..1....0..1..0..0....0..0..1..1....0..1..2..0
..1..2..1..2....1..1..0..2....0..1..2..2....2..2..0..2....0..1..2..0
..1..2..0..0....2..2..0..2....2..0..1..1....1..1..0..2....2..2..1..1
..0..0..1..1....1..1..2..1....2..0..2..0....2..2..1..1....0..0..2..2
..1..1..0..0....0..0..2..1....1..1..2..0....0..1..2..0....2..2..0..0
..2..0..2..2....2..2..0..0....2..0..1..1....0..1..2..0....0..1..2..1
..2..0..1..1....1..0..2..1....2..0..2..2....2..2..0..1....0..1..2..1
..1..1..0..2....1..0..2..1....1..2..1..1....0..1..0..1....1..2..0..0
..2..2..0..2....2..2..0..0....1..2..0..0....0..1..2..2....1..2..1..1

Crossrefs

Sequence in context: A226840 A334885 A318330 * A110492 A225413 A180995

Adjacent sequences: A199258 A199259 A199260 * A199262 A199263 A199264

Keyword

nonn,tabl

Author

R. H. Hardin Nov 04 2011

Status

approved