A199092 T(n,k)=Number of nXk 0..3 arrays with values 0..3 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, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 420, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 709, 0, 44837, 0, 44837, 0, 709, 0, 0, 0, 24353, 0, 0, 0, 0, 24353, 0, 0, 0, 0, 0, 5471810, 0, 0, 0, 5471810, 0, 0, 0, 0, 0, 0, 0, 349276385, 0, 0, 349276385, 0, 0, 0, 0, 0

Offset

1,12

Comments

Table starts

.0...0.....0.........0.........0...........0.0...........1.0.........0.0......0

.0...0.....0.........5.........0...........0.0.........709.0.........0.0.127973

.0...0.....0.........0.........0...........0.0.......24353.0.........0.0......0

.0...5.....0.......420.........0.......44837.0.....5471810.0.726413391.0.......

.0...0.....0.........0.........0...........0.0...349276385.0.........0.........

.0...0.....0.....44837.........0...........0.0.59171718202.0...................

.0...0.....0.........0.........0...........0.0.................................

.1.709.24353...5471810.349276385.59171718202...................................

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

.0...0.....0.726413391.........................................................

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Example

Some solutions for 6X4
..0..0..1..2....0..0..1..1....0..0..1..1....0..1..2..0....0..1..2..2
..3..3..1..2....2..2..3..3....2..2..3..3....0..1..2..0....0..1..0..0
..0..2..2..1....1..1..2..2....0..0..2..2....2..2..3..3....3..3..1..1
..0..3..3..1....3..2..3..3....1..1..0..3....3..3..2..1....2..2..3..3
..2..2..0..3....3..2..0..0....3..3..0..3....1..1..2..1....0..3..2..1
..1..1..0..3....0..0..1..1....1..1..2..2....0..0..3..3....0..3..2..1

Crossrefs

Sequence in context: A157700 A099645 A220412 * A167260 A137520 A010676

Adjacent sequences: A199089 A199090 A199091 * A199093 A199094 A199095

Keyword

nonn,tabl

Author

R. H. Hardin Nov 02 2011

Status

approved