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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
6
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 05 2011
STATUS
approved