A199237 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 at least one horizontal or vertical neighbor

0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 12, 10, 12, 0, 1, 31, 134, 134, 31, 1, 3, 143, 1162, 7772, 1162, 143, 3, 3, 1183, 14159, 233185, 233185, 14159, 1183, 3, 1, 5068, 157598, 2350573, 16467051, 2350573, 157598, 5068, 1, 6, 11594, 1893418, 198168342, 410003607

Offset

1,8

Comments

Table starts

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

.0......0........3.........12..........31.........143........1183..........5068

.0......3.......10........134........1162.......14159......157598.......1893418

.0.....12......134.......7772......233185.....2350573...198168342....5945464970

.0.....31.....1162.....233185....16467051...410003607.88764401434.6694765030353

.1....143....14159....2350573...410003607.74737706829

.3...1183...157598..198168342.88764401434

.3...5068..1893418.5945464970

.1..11594.22549653

.6.133430

Links

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

Example

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

Crossrefs

Column 1 is A199034

Sequence in context: A283071 A060523 A199041 * A309651 A305541 A280810

Adjacent sequences: A199234 A199235 A199236 * A199238 A199239 A199240

Keyword

nonn,tabl

Author

R. H. Hardin Nov 04 2011

Status

approved