A222608 T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..3 order

1, 0, 0, 0, 6, 0, 6, 32, 32, 6, 20, 520, 892, 520, 20, 20, 4556, 42492, 42492, 4556, 20, 70, 57072, 779875, 3584673, 779875, 57072, 70, 685, 594544, 41383224, 298478633, 298478633, 41383224, 594544, 685, 2808, 6958016, 735555885, 24650010932

Offset

1,5

Comments

Table starts

....1........0...........0.............6.............20.............20

....0........6..........32...........520...........4556..........57072

....0.......32.........892.........42492.........779875.......41383224

....6......520.......42492.......3584673......298478633....24650010932

...20.....4556......779875.....298478633....34850410918.14279931628806

...20....57072....41383224...24650010932.14279931628806

...70...594544...735555885.2035465167670

..685..6958016.40786547448

.2808.77112256

.5370

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Sequence in context: A223104 A222722 A222747 * A353091 A021900 A351401

Adjacent sequences: A222605 A222606 A222607 * A222609 A222610 A222611

Keyword

nonn,tabl

Author

R. H. Hardin Feb 26 2013

Status

approved