A265373 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal horizontal, vertical or antidiagonal neighbors and new values introduced sequentially from 0.

1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 10, 1, 0, 0, 1, 32, 99, 1, 0, 0, 1, 236, 4954, 1146, 1, 0, 0, 1, 1238, 363850, 878953, 15422, 1, 0, 0, 1, 7968, 25964546, 860077644, 192333677, 237135, 1, 0, 0, 1, 49214, 2006263350, 919241950442, 3040856393843, 53404173562

Offset

1,14

Comments

Table starts

.1.......0...........0.............0............0..........0............0

.1.......0...........0.............0............0..........0............0

.1.......1...........1.............1............1..........1............1

.1......10..........32...........236.........1238.......7968........49214

.1......99........4954........363850.....25964546.2006263350.159927435847

.1....1146......878953.....860077644.919241950442

.1...15422...192333677.3040856393843

.1..237135.53404173562

.1.4106680

.1

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

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

Crossrefs

Column 2 is A190823.

Sequence in context: A222521 A068159 A108695 * A309202 A105031 A307978

Adjacent sequences: A265370 A265371 A265372 * A265374 A265375 A265376

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 07 2015

Status

approved