A222402 T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..2 order

1, 0, 0, 0, 0, 0, 3, 0, 0, 3, 4, 9, 4, 9, 4, 8, 0, 35, 35, 0, 8, 10, 92, 0, 162, 0, 92, 10, 50, 0, 624, 717, 717, 624, 0, 50, 66, 998, 900, 8803, 4644, 8803, 900, 998, 66, 216, 0, 21634, 55761, 89582, 89582, 55761, 21634, 0, 216, 280, 11136, 21224, 648643, 540642

Offset

1,7

Comments

Table starts

....1......0........0..........3.............4..............8.............10

....0......0........0..........9.............0.............92..............0

....0......0........4.........35.............0............624............900

....3......9.......35........162...........717...........8803..........55761

....4......0........0........717..........4644..........89582.........540642

....8.....92......624.......8803.........89582........1732004.......26513524

...10......0......900......55761........540642.......26513524......506779353

...50....998....21634.....648643......19598014......783341025....31162236755

...66......0....21224....4706538.....141703290....16254970624...679517719195

..216..11136...609872...56003424....4688775266...529021504276.54519194910332

..280......0...756664..406023424...35396592602.11643386996598

.1120.124864.18326048.4784210119.1198472335971

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

Some solutions for n=4 k=4
..0..0..0..1....0..0..0..0....0..0..1..1....0..0..1..1....0..0..0..1
..0..0..0..0....0..0..0..1....0..0..1..1....0..1..1..1....0..0..0..0
..0..0..0..1....0..0..0..1....0..0..1..1....1..1..1..1....0..0..0..0
..0..0..0..0....0..0..0..2....0..0..1..1....1..1..1..1....0..0..0..2

Crossrefs

Sequence in context: A200524 A308223 A222328 * A222522 A091921 A037285

Adjacent sequences: A222399 A222400 A222401 * A222403 A222404 A222405

Keyword

nonn,tabl

Author

R. H. Hardin Feb 18 2013

Status

approved