A199363 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 one or two horizontal or vertical neighbors

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 20, 5, 0, 0, 35, 23, 23, 35, 0, 0, 11, 1655, 2857, 1655, 11, 0, 1, 455, 39597, 37995, 37995, 39597, 455, 1, 4, 2645, 336788, 2838998, 21988792, 2838998, 336788, 2645, 4, 6, 32075, 2130707, 76784986, 3215936151, 3215936151

Offset

1,12

Comments

Table starts

.0.....0.......0........0..........0..........0........0..........1........4

.0.....0.......0........5.........35.........11......455.......2645....32075

.0.....0......20.......23.......1655......39597...336788....2130707.97253704

.0.....5......23.....2857......37995....2838998.76784986.4127669738

.0....35....1655....37995...21988792.3215936151

.0....11...39597..2838998.3215936151

.0...455..336788.76784986

.1..2645.2130707

.4.32075

.6

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

Some solutions for n=5 k=3
..0..1..1....0..1..0....0..0..0....0..1..1....0..0..1....0..1..1....0..1..1
..0..2..2....0..1..0....1..2..0....0..0..0....2..3..1....0..1..2....0..1..1
..0..3..3....2..2..3....1..2..2....2..2..3....2..3..1....3..3..2....2..2..3
..3..3..1....1..1..3....3..3..2....1..1..3....0..2..2....3..0..0....2..3..3
..2..2..1....2..2..3....3..1..1....2..2..3....0..3..3....3..2..2....2..0..0

Crossrefs

Sequence in context: A261545 A093482 A283522 * A199588 A359977 A357908

Adjacent sequences: A199360 A199361 A199362 * A199364 A199365 A199366

Keyword

nonn,tabl

Author

R. H. Hardin Nov 05 2011

Status

approved