A155341 Number of ways to place zero or more nonadjacent 0,0 1,0 2,1 3,0 3,1 3,2 4,0 polyhexes in any orientation on a planar nXnXn triangular grid.

1, 4, 10, 22, 55, 194, 784, 4435, 26044, 168125, 1273021, 11736308, 129333849, 1686140456, 25343021943, 443460444588

Offset

4,2

Comments

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

Links

Table of n, a(n) for n=4..19.

Example

Maximal 12 X 12 X 12 example
..............0
.............0.1
............0.0.1
...........1.0.1.0
..........1.0.1.1.1
.........0.1.0.0.0.1
........1.1.1.0.0.0.0
.......1.0.0.0.0.0.0.0
......0.0.1.1.0.1.1.0.0
.....0.1.0.0.1.1.0.0.1.0
....0.1.1.0.0.1.0.0.1.1.0
...1.1.0.1.1.0.0.1.1.0.1.1

Crossrefs

Sequence in context: A155426 A155421 A155343 * A189589 A025576 A189596

Adjacent sequences: A155338 A155339 A155340 * A155342 A155343 A155344

Keyword

nonn

Author

R. H. Hardin Jan 22 2009

Status

approved