A221408 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, with every occupancy equal to zero or two

0, 2, 2, 0, 6, 0, 4, 16, 16, 4, 0, 44, 0, 44, 0, 8, 120, 436, 436, 120, 8, 0, 328, 0, 4518, 0, 328, 0, 16, 896, 12668, 47156, 47156, 12668, 896, 16, 0, 2448, 0, 492102, 0, 492102, 0, 2448, 0, 32, 6688, 368268, 5133044, 18852560, 18852560, 5133044, 368268, 6688, 32

Offset

1,2

Comments

Table starts

..0.....2........0.........4..........0...........8...........0............16

..2.....6.......16........44........120.........328.........896..........2448

..0....16........0.......436..........0.......12668...........0........368268

..4....44......436......4518......47156......492102.....5133044......53529806

..0...120........0.....47156..........0....18852560...........0....7505597654

..8...328....12668....492102...18852560...722442370.27665242848.1058237377670

..0...896........0...5133044..........0.27665242848

.16..2448...368268..53529806.7505597654

..0..6688........0.558164472

.32.18272.10705360

..0.49920

.64

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

Some solutions for n=3 k=4
..2..2..0..2....2..0..2..0....2..0..2..2....2..0..2..0....0..2..2..0
..0..0..0..0....0..2..2..0....0..0..2..0....2..2..2..0....2..0..0..0
..2..2..2..0....2..0..0..2....0..2..2..0....0..0..2..0....2..2..0..2

Crossrefs

Column 1 is A077957

Column 2 is A002605(n+1)

Sequence in context: A129936 A253180 A295214 * A221396 A221337 A157077

Adjacent sequences: A221405 A221406 A221407 * A221409 A221410 A221411

Keyword

nonn,tabl

Author

R. H. Hardin Jan 15 2013

Status

approved