A221314 T(n,k)=Square root of number of nXk arrays of occupancy after each element moves to some horizontal or vertical neighbor, with every occupancy equal to zero or two

0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 4, 0, 4, 0, 0, 0, 9, 9, 0, 0, 0, 8, 0, 23, 0, 8, 0, 1, 0, 0, 57, 57, 0, 0, 1, 0, 16, 0, 142, 0, 142, 0, 16, 0, 0, 0, 105, 353, 0, 0, 353, 105, 0, 0, 0, 32, 0, 878, 0, 2816, 0, 878, 0, 32, 0, 1, 0, 0, 2183, 6898, 0, 0, 6898, 2183, 0, 0, 1, 0, 64, 0, 5428, 0

Offset

1,5

Comments

Table starts

.0..0...0....1....0.....0...0.....1....0....0.....0....1.0.0

.0..2...0....4....0.....8...0....16....0...32.....0...64.0

.0..0...0....9....0.....0...0...105....0....0.....0.1233

.1..4...9...23...57...142.353...878.2183.5428.13496

.0..0...0...57....0.....0...0..6898....0....0

.0..8...0..142....0..2816...0.55033....0

.0..0...0..353....0.....0...0

.1.16.105..878.6898.55033

.0..0...0.2183....0

.0.32...0.5428

.0..0...0

.1.64

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Example

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

Crossrefs

Sequence in context: A287112 A296238 A309475 * A326642 A087371 A307597

Adjacent sequences: A221311 A221312 A221313 * A221315 A221316 A221317

Keyword

nonn,tabl

Author

R. H. Hardin Jan 10 2013

Status

approved