A266208 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element plus any horizontal, vertical, diagonal or antidiagonal neighbor equal to n-1.

1, 0, 0, 0, 0, 2, 0, 0, 0, 8, 0, 0, 0, 8, 48, 0, 0, 0, 8, 544, 240, 0, 0, 0, 16, 7368, 20976, 1968, 0, 0, 0, 312, 225112, 5909712, 3124800, 13824, 0, 0, 0, 14936, 14336176, 2985074304, 12981441744, 269723136, 140160, 0, 0, 0, 310552, 1009920648, 2484237295056

Offset

1,6

Comments

Table starts

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

.......0...........0..............0..............0.............0..........0

.......2...........0..............0..............0.............0..........0

.......8...........8..............8.............16...........312......14936

......48.........544...........7368.........225112......14336176.1009920648

.....240.......20976........5909712.....2985074304.2484237295056

....1968.....3124800....12981441744.95316232354752

...13824...269723136.19479242035200

..140160.61919980032

.1263360

Links

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

Example

Some solutions for n=5 k=4
..1..1..1..1....1..4..4..4....2..0..3..2....2..0..1..1....0..0..0..3
..2..0..0..2....4..2..3..2....0..0..0..3....0..0..0..1....2..1..0..3
..0..0..3..3....3..3..3..0....1..1..2..3....3..3..2..1....1..1..2..3
..2..3..2..4....0..2..0..2....4..1..4..3....3..4..4..4....4..4..4..4
..4..4..3..4....1..1..0..1....4..1..4..2....2..4..2..3....2..3..2..1

Crossrefs

Column 1 is A173841.

Sequence in context: A268729 A182317 A158801 * A266158 A272822 A265663

Adjacent sequences: A266205 A266206 A266207 * A266209 A266210 A266211

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 23 2015

Status

approved