A266158 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element plus any horizontal, vertical or antidiagonal neighbor equal to n-1.

1, 0, 0, 0, 0, 2, 0, 0, 0, 8, 0, 0, 0, 16, 48, 0, 0, 0, 40, 1528, 240, 0, 0, 0, 272, 85976, 71328, 1968, 0, 0, 0, 5512, 7699384, 55409952, 10109856, 13824, 0, 0, 0, 149232, 895747208, 67579399344, 118728695856, 949116288, 140160, 0, 0, 0, 3741272, 121920870264

Offset

1,6

Comments

Table starts

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

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

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

.......8...........16..............40..............272............5512

......48.........1528...........85976..........7699384.......895747208

.....240........71328........55409952......67579399344.108728430936384

....1968.....10109856....118728695856.2180819465618592

...13824....949116288.185137301064192

..140160.197260755456

.1263360

Links

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

Example

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

Crossrefs

Column 1 is A173841.

Sequence in context: A182317 A158801 A266208 * A272822 A265663 A107491

Adjacent sequences: A266155 A266156 A266157 * A266159 A266160 A266161

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 22 2015

Status

approved