A155342 Number of ways to place zero or more nonadjacent 1,1 2,0 2,1 3,2 4,1 4,2 5,3 polyhexes in any orientation on a planar nXnXn triangular grid.

1, 7, 19, 37, 82, 361, 2515, 15385, 83649, 564736, 5375347, 66177036, 879906596, 12668769870, 218134701822, 4684620580146

Offset

5,2

Comments

Same series for 1,1 2,0 2,1 3,1 3,2 4,1 4,2 5,3 polyhexes.

Links

Table of n, a(n) for n=5..20.

Example

Maximal 10 X 10 X 10 example
............0
...........0.0
..........0.1.0
.........1.0.1.1
........0.1.1.0.0
.......0.1.0.0.1.0
......1.0.0.0.0.1.1
.....0.1.1.0.0.1.0.0
....0.1.0.1.1.0.1.1.0
...0.0.0.1.0.0.1.0.0.0

Crossrefs

Sequence in context: A155327 A155363 A155395 * A155408 A155358 A155353

Adjacent sequences: A155339 A155340 A155341 * A155343 A155344 A155345

Keyword

nonn

Author

R. H. Hardin Jan 22 2009

Status

approved