A222522 T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..3 order

1, 0, 0, 0, 0, 0, 3, 0, 0, 3, 4, 9, 4, 9, 4, 8, 0, 37, 37, 0, 8, 10, 114, 0, 206, 0, 114, 10, 55, 0, 1302, 1111, 1111, 1302, 0, 55, 72, 1881, 1318, 26513, 9596, 26513, 1318, 1881, 72, 294, 0, 90581, 221659, 459702, 459702, 221659, 90581, 0, 294, 378, 33828, 70734, 6043652

Offset

1,7

Comments

Table starts

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

....0......0.........0............9...............0..............114

....0......0.........4...........37...............0.............1302

....3......9........37..........206............1111............26513

....4......0.........0.........1111............9596...........459702

....8....114......1302........26513..........459702.........15047384

...10......0......1318.......221659.........3661130........403328822

...55...1881.....90581......6043652.......396851809......32347515041

...72......0.....70734.....56070649......3695255764....1232881699540

..294..33828...5931248...1573702327....395638371502..121450541699548

..378......0...5165434..14644968953...3770574602806.4853507073442748

.1883.624019.396589283.408818223648.408695270841202

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Example

Some solutions for n=4 k=4
..0..0..0..1....0..0..0..0....0..0..0..0....0..0..0..1....0..1..2..3
..0..0..0..2....0..0..0..1....0..0..0..0....0..0..0..0....2..2..2..2
..0..0..0..2....0..0..0..1....0..0..1..1....0..0..0..1....2..2..2..2
..0..0..0..2....0..0..0..1....0..0..1..1....0..0..0..0....2..2..2..2

Crossrefs

Column 1 is A222269

Sequence in context: A308223 A222328 A222402 * A091921 A037285 A337981

Adjacent sequences: A222519 A222520 A222521 * A222523 A222524 A222525

Keyword

nonn,tabl

Author

R. H. Hardin Feb 23 2013

Status

approved