login
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
5
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 08 2011
STATUS
approved