A199133 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 no element equal to any horizontal or vertical neighbor

1, 1, 1, 1, 2, 1, 3, 2, 2, 3, 6, 12, 6, 12, 6, 5, 30, 19, 19, 30, 5, 19, 30, 70, 258, 70, 30, 19, 37, 210, 264, 1409, 1409, 264, 210, 37, 29, 560, 1038, 2836, 11475, 2836, 1038, 560, 29, 124, 560, 4155, 48320, 33970, 33970, 48320, 4155, 560, 124, 240, 4200, 16896, 295092

Offset

1,5

Comments

Table starts

...1....1.....1........3.........6...........5............19..............37

...1....2.....2.......12........30..........30...........210.............560

...1....2.....6.......19........70.........264..........1038............4155

...3...12....19......258......1409........2836.........48320..........295092

...6...30....70.....1409.....11475.......33970........887966.........8181546

...5...30...264.....2836.....33970......438502.......5926852........82908094

..19..210..1038....48320....887966.....5926852.....358599045......7633754680

..37..560..4155...295092...8181546....82908094....7633754680....247746055048

..29..560.16896...629776..26354800..1187201812...56435001338...2782790788798

.124.4200.69584.11499816.739462036.17307138986.3718131446504.280882561003836

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Example

Some solutions for n=7 k=5
..0..1..0..1..0....0..1..0..1..0....0..1..0..1..0....0..1..0..1..0
..2..0..1..0..1....1..2..1..2..1....1..0..1..0..2....2..0..2..0..2
..0..1..0..1..2....0..1..2..0..2....2..1..0..2..1....0..1..0..2..0
..1..2..1..2..1....1..0..1..2..0....1..2..1..0..2....1..2..1..0..1
..2..0..2..0..2....0..1..0..1..2....2..1..0..2..0....2..1..2..1..2
..1..2..0..2..1....1..2..1..2..0....1..0..2..1..2....1..2..1..2..1
..0..1..2..0..2....2..0..2..0..2....0..2..0..2..1....0..1..2..0..2

Crossrefs

Sequence in context: A029270 A364503 A090350 * A199246 A367858 A363718

Adjacent sequences: A199130 A199131 A199132 * A199134 A199135 A199136

Keyword

nonn,tabl

Author

R. H. Hardin Nov 03 2011

Status

approved