A199588 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 at least one horizontal or vertical neighbor

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 20, 5, 0, 0, 35, 23, 23, 35, 0, 0, 11, 1951, 2943, 1951, 11, 0, 1, 495, 60323, 69023, 69023, 60323, 495, 1, 4, 2645, 592219, 4748991, 46969504, 4748991, 592219, 2645, 4, 6, 40637, 3399003, 207722398, 10056342898, 10056342898

Offset

1,12

Comments

Table starts

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

.0.....0.......0.........5..........35..........11.......495........2645

.0.....0......20........23........1951.......60323....592219.....3399003

.0.....5......23......2943.......69023.....4748991.207722398.12106398432

.0....35....1951.....69023....46969504.10056342898

.0....11...60323...4748991.10056342898

.0...495..592219.207722398

.1..2645.3399003

.4.40637

.6

Links

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

Example

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

Crossrefs

Column 1 is A199358

Sequence in context: A093482 A283522 A199363 * A359977 A357908 A030696

Adjacent sequences: A199585 A199586 A199587 * A199589 A199590 A199591

Keyword

nonn,tabl

Author

R. H. Hardin Nov 08 2011

Status

approved