A221308 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, with every occupancy equal to zero or two

0, 0, 0, 0, 5, 0, 1, 10, 10, 1, 0, 31, 0, 31, 0, 0, 90, 312, 312, 90, 0, 0, 259, 0, 3334, 0, 259, 0, 1, 746, 10042, 38146, 38146, 10042, 746, 1, 0, 2150, 0, 431474, 0, 431474, 0, 2150, 0, 0, 6192, 319226, 4855258, 19642342, 19642342, 4855258, 319226, 6192, 0, 0, 17831, 0

Offset

1,5

Comments

Table starts

.0.....0......0........1........0.........0.......0..........1.........0

.0.....5.....10.......31.......90.......259.....746.......2150......6192

.0....10......0......312........0.....10042.......0.....319226.........0

.1....31....312.....3334....38146....431474.4855258...54587829.613235478

.0....90......0....38146........0..19642342.......0.9842336697

.0...259..10042...431474.19642342.880259428

.0...746......0..4855258........0

.1..2150.319226.54587829

.0..6192......0

.0.17831

.0

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

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

Crossrefs

Sequence in context: A060524 A133843 A215083 * A241855 A221800 A291774

Adjacent sequences: A221305 A221306 A221307 * A221309 A221310 A221311

Keyword

nonn,tabl

Author

R. H. Hardin Jan 09 2013

Status

approved