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A199256
T(n,k)=Number of nXk 0..3 arrays with values 0..3 introduced in row major order, the number of instances of each value within one of each other, and no element equal to any horizontal or vertical neighbor
8
1, 1, 1, 1, 1, 1, 1, 14, 14, 1, 6, 21, 114, 21, 6, 21, 424, 447, 447, 424, 21, 41, 571, 16898, 11223, 16898, 571, 41, 36, 14160, 311216, 305863, 305863, 311216, 14160, 36, 281, 18157, 2913528, 8862785, 68639138, 8862785, 2913528, 18157, 281, 1051, 508802
OFFSET
1,8
COMMENTS
Table starts
....1......1...........1............1.............6..............21
....1......1..........14...........21...........424.............571
....1.....14.........114..........447.........16898..........311216
....1.....21.........447........11223........305863.........8862785
....6....424.......16898.......305863......68639138......6888550898
...21....571......311216......8862785....6888550898....208100267703
...41..14160.....2913528....267827143..340245592285.186725016600685
...36..18157....11312517...8351549833.6769314291049
..281.508802...551973865.266729329121
.1051.635901.11307744507
LINKS
EXAMPLE
Some solutions for n=6 k=4
..0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1
..1..0..2..3....1..0..2..0....1..2..1..2....1..2..1..3....1..2..1..2
..3..2..1..2....3..2..3..2....0..3..2..3....3..0..3..2....2..3..2..3
..2..0..3..0....2..3..1..3....2..1..3..0....2..3..2..3....0..2..0..2
..3..2..1..3....3..2..3..0....0..3..0..3....0..2..3..1....3..0..3..1
..2..1..3..0....1..0..1..2....1..2..3..2....1..0..2..0....1..3..0..3
CROSSREFS
Column 1 is A199194
Sequence in context: A206564 A076158 A174160 * A199201 A128883 A010853
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 04 2011
STATUS
approved