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

Author

R. H. Hardin Jan 15 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A077957

Column 2 is A002605(n+1)