A221728 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, with every occupancy equal to zero or two

0, 2, 0, 0, 6, 0, 4, 16, 16, 0, 0, 52, 0, 44, 0, 8, 174, 540, 464, 120, 0, 0, 588, 0, 6188, 0, 328, 0, 16, 1984, 22180, 80160, 71310, 13948, 896, 0, 0, 6688, 0, 1048566, 0, 824144, 0, 2448, 0, 32, 22536, 911081, 13757056, 47798542, 42509454, 9525048, 420736, 6688, 0

Offset

1,2

Comments

Table starts

.0....2......0.......4........0........8........0........16.....0....32.0

.0....6.....16......52......174......588.....1984......6688.22536.75924

.0...16......0.....540........0....22180........0....911081.....0

.0...44....464....6188....80160..1048566.13757056.180437354

.0..120......0...71310........0.47798542

.0..328..13948..824144.42509454

.0..896......0.9525048

.0.2448.420736

.0.6688

.0

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Column 2 is A002605(n+1)

Row 2 is A221270

Sequence in context: A274710 A028625 A344441 * A378009 A339942 A345366

Adjacent sequences: A221725 A221726 A221727 * A221729 A221730 A221731

Keyword

nonn,tabl

Author

R. H. Hardin Jan 22 2013

Status

approved