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

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

R. H. Hardin, Table of n, a(n) for n = 1..84

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

Adjacent sequences: A199253 A199254 A199255 * A199257 A199258 A199259

Keyword

nonn,tabl

Author

R. H. Hardin Nov 04 2011

Status

approved