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A222832
T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements equal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..3 order
4
1, 0, 0, 0, 4, 0, 6, 32, 32, 6, 20, 613, 2120, 613, 20, 20, 7152, 114782, 114782, 7152, 20, 70, 117140, 5459252, 23567385, 5459252, 117140, 70, 685, 1613820, 346343088, 5026137016, 5026137016, 346343088, 1613820, 685, 2808, 24884991, 17812721025
OFFSET
1,5
COMMENTS
Table starts
....1.........0.............0...............6...............20...............20
....0.........4............32.............613.............7152...........117140
....0........32..........2120..........114782..........5459252........346343088
....6.......613........114782........23567385.......5026137016....1093286140097
...20......7152.......5459252......5026137016....3663765186919.3492977844745760
...20....117140.....346343088...1093286140097.3492977844745760
...70...1613820...17812721025.240791286159691
..685..24884991.1142470649401
.2808.363921808
.5370
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..1..2..0....0..0..1..0....0..1..2..3....0..0..1..0....0..1..2..2
..1..0..0..3....1..2..1..1....0..0..1..2....2..1..3..3....2..2..1..3
..1..1..1..2....0..3..1..3....2..3..1..1....0..0..1..0....0..3..0..3
CROSSREFS
Column 1 is A222604
Sequence in context: A296230 A222889 A223114 * A279871 A223052 A027857
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 06 2013
STATUS
approved