A199041 T(n,k)=Number of nXk 0..2 arrays with values 0..2 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, 3, 3, 0, 0, 12, 10, 12, 0, 1, 29, 127, 127, 29, 1, 3, 143, 631, 3916, 631, 143, 3, 3, 877, 8090, 86544, 86544, 8090, 877, 3, 1, 3516, 59384, 674064, 3806692, 674064, 59384, 3516, 1, 6, 8987, 617083, 35902575, 59029339, 59029339, 35902575

Offset

1,8

Comments

Table starts

.0.....0.......0.........0..........0..........1..........3............3

.0.....0.......3........12.........29........143........877.........3516

.0.....3......10.......127........631.......8090......59384.......617083

.0....12.....127......3916......86544.....674064...35902575....750625102

.0....29.....631.....86544....3806692...59029339.7354780137.330637303049

.1...143....8090....674064...59029339.5590093696

.3...877...59384..35902575.7354780137

.3..3516..617083.750625102

.1..8987.5480374

.6.81112

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

Some solutions for n=6 k=4
..0..0..0..0....0..0..0..0....0..0..0..1....0..1..0..0....0..1..0..0
..1..2..1..0....0..1..2..0....0..1..2..1....0..1..2..0....0..1..0..0
..1..2..1..0....0..1..2..0....1..1..2..2....2..2..2..0....1..1..2..2
..1..0..2..2....2..2..2..1....2..2..0..2....1..1..1..0....0..0..2..1
..1..0..1..2....2..1..1..1....2..1..0..2....2..2..1..0....2..1..2..1
..2..2..1..2....1..1..2..2....1..1..0..0....2..2..1..1....2..1..2..2

Crossrefs

Sequence in context: A221768 A283071 A060523 * A199237 A309651 A305541

Adjacent sequences: A199038 A199039 A199040 * A199042 A199043 A199044

Keyword

nonn,tabl

Author

R. H. Hardin Nov 02 2011

Status

approved