A221273 T(n,k) is the number of n X k arrays of occupancy after each element moves to some king-move neighbor, with every occupancy equal to zero or two.
0, 0, 0, 0, 6, 0, 1, 16, 16, 1, 0, 52, 0, 52, 0, 0, 174, 596, 596, 174, 0, 0, 588, 0, 7252, 0, 588, 0, 1, 1984, 24366, 94659, 94659, 24366, 1984, 1, 0, 6688, 0, 1250015, 0, 1250015, 0, 6688, 0, 0, 22536, 1001855, 16474842, 64221682, 64221682, 16474842, 1001855
Offset: 1
Examples
Table starts: .0.....0.......0........1........0........0........0.........1.....0.....0.0 .0.....6......16.......52......174......588.....1984......6688.22536.75924 .0....16.......0......596........0....24366........0...1001855.....0 .1....52.....596.....7252....94659..1250015.16474842.217194702 .0...174.......0....94659........0.64221682 .0...588...24366..1250015.64221682 .0..1984.......0.16474842 .1..6688.1001855 .0.22536 .0 Some solutions for n=4 and k=4: ..2..0..0..0....0..0..2..2....2..0..0..0....2..0..2..0....2..2..0..2 ..0..2..2..0....0..2..2..2....2..0..0..2....0..2..2..0....2..0..2..0 ..2..0..0..2....0..2..2..0....2..0..0..2....0..2..0..0....0..2..2..0 ..2..2..0..2....2..0..0..0....2..2..2..0....2..0..2..2....0..2..0..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..59