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A199201
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 zero or two horizontal or vertical neighbors
9
1, 1, 1, 1, 1, 1, 1, 14, 14, 1, 6, 21, 114, 21, 6, 21, 424, 447, 447, 424, 21, 41, 571, 17598, 11734, 17598, 571, 41, 36, 14479, 342958, 341015, 341015, 342958, 14479, 36, 281, 18551, 3366282, 10692835, 86954982, 10692835, 3366282, 18551, 281, 1051, 541753
OFFSET
1,8
COMMENTS
Table starts
....1......1.........1...........1............6...........21...........41
....1......1........14..........21..........424..........571........14479
....1.....14.......114.........447........17598.......342958......3366282
....1.....21.......447.......11734.......341015.....10692835....351517665
....6....424.....17598......341015.....86954982...9746409872.533423159945
...21....571....342958....10692835...9746409872.329877369234
...41..14479...3366282...351517665.533423159945
...36..18551..13445925.11945622271
..281.541753.707828355
.1051.677755
LINKS
EXAMPLE
Some solutions for n=6 k=4
..0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1
..1..0..1..2....1..0..2..3....1..0..1..2....1..0..2..3....1..0..2..0
..2..3..2..1....3..2..3..2....0..3..2..0....0..2..3..2....2..2..3..1
..3..2..3..0....2..0..2..1....1..2..3..1....2..1..2..3....2..2..0..3
..0..3..0..1....0..1..3..0....2..3..2..3....3..0..3..0....1..3..3..1
..3..2..3..2....2..3..1..3....3..2..3..0....1..3..2..1....2..3..3..0
CROSSREFS
Sequence in context: A076158 A174160 A199256 * A128883 A010853 A291510
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 03 2011
STATUS
approved