A221337 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some king-move neighbor, with every occupancy equal to zero or two

0, 2, 2, 0, 6, 0, 4, 20, 20, 4, 0, 68, 0, 68, 0, 8, 232, 790, 790, 232, 8, 0, 792, 0, 10704, 0, 792, 0, 16, 2704, 34042, 142792, 142792, 34042, 2704, 16, 0, 9232, 0, 1937900, 0, 1937900, 0, 9232, 0, 32, 31520, 1470618, 26264018

Offset

1,2

Comments

Table starts

..0....2.....0.......4......0.......8........0......16.....0.32

..2....6....20......68....232.....792.....2704....9232.31520

..0...20.....0.....790......0...34042........0.1470618

..4...68...790...10704.142792.1937900.26264018

..0..232.....0..142792......0

..8..792.34042.1937900

..0.2704.....0

.16.9232

..0

Links

Table of n, a(n) for n=1..49.

Example

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

Crossrefs

Column 1 is A077957

Column 2 is A006012

Sequence in context: A295214 A221408 A221396 * A157077 A185896 A076256

Adjacent sequences: A221334 A221335 A221336 * A221338 A221339 A221340

Keyword

nonn,tabl

Author

R. H. Hardin Jan 11 2013

Status

approved