A222673 T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order

1, 0, 0, 0, 0, 0, 3, 2, 2, 3, 4, 9, 2, 9, 4, 8, 24, 40, 40, 24, 8, 10, 80, 90, 348, 90, 80, 10, 50, 288, 1336, 2370, 2370, 1336, 288, 50, 66, 1038, 3458, 20606, 17696, 20606, 3458, 1038, 66, 216, 3608, 44516, 212842, 426362, 426362, 212842, 44516, 3608, 216, 280, 12696

Offset

1,7

Comments

Table starts

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

....0......0........2...........9............24..............80.............288

....0......2........2..........40............90............1336............3458

....3......9.......40.........348..........2370...........20606..........212842

....4.....24.......90........2370.........17696..........426362.........4030527

....8.....80.....1336.......20606........426362.........9334575.......244592240

...10....288.....3458......212842.......4030527.......244592240......5655834167

...50...1038....44516.....2134959.....115311310......6696876400....433607685391

...66...3608...126476....21085549....1138939624....189469189930..11560192314100

..216..12696..1527344...211716164...33371066606...5486076619642.975276334243798

..280..45024..4599422..2136631932..333504416113.160969581159830

.1120.160364.53131172.21522095442.9869885381863

Links

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

Example

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

Crossrefs

Column 1 is A222395

Sequence in context: A316995 A338241 A222456 * A222666 A335401 A324465

Adjacent sequences: A222670 A222671 A222672 * A222674 A222675 A222676

Keyword

nonn,tabl

Author

R. H. Hardin Feb 28 2013

Status

approved