A221419 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, with every occupancy equal to zero or two

0, 2, 0, 0, 4, 0, 4, 10, 8, 0, 0, 29, 0, 16, 0, 8, 84, 226, 150, 32, 0, 0, 242, 0, 1766, 0, 64, 0, 16, 696, 6798, 17792, 13794, 2250, 128, 0, 0, 2000, 0, 193809, 0, 107695, 0, 256, 0, 32, 5744, 198823, 2026142, 5501288, 3813004, 840673, 33750, 512, 0, 0, 16492, 0

Offset

1,2

Comments

Table starts

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

.0....4.....10........29........84..........242........696.........2000

.0....8......0.......226.........0.........6798..........0.......198823

.0...16....150......1766.....17792.......193809....2026142.....21225843

.0...32......0.....13794.........0......5501288..........0...2238166260

.0...64...2250....107695...3813004....156275181.6079373768.237226735061

.0..128......0....840673.........0...4438212854..........0

.0..256..33750...6561928.817415641.126047555332

.0..512......0..51218473.........0

.0.1024.506250.399777826

.0.2048......0

.0.4096

Links

R. H. Hardin, Table of n, a(n) for n = 1..96

Example

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

Crossrefs

Sequence in context: A323885 A137513 A365714 * A140668 A353369 A323900

Adjacent sequences: A221416 A221417 A221418 * A221420 A221421 A221422

Keyword

nonn,tabl

Author

R. H. Hardin Jan 15 2013

Status

approved