A155372 Number of ways to place zero or more nonadjacent 1,1 2,1 3,0 3,1 3,2 3,3 4,2 5,2 polyhexes in any orientation on a planar nXnXn triangular grid.

1, 7, 19, 37, 61, 206, 1719, 10790, 47817, 214975, 1559070, 18834488, 235320165, 2540394252, 29093246624, 443617991373, 9324012818913

Offset

5,2

Comments

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

Links

Table of n, a(n) for n=5..21.

Example

Maximal 10 X 10 X 10 example
............0
...........1.0
..........0.1.0
.........1.1.1.1
........0.0.1.0.0
.......0.0.0.1.0.0
......1.0.1.0.0.0.1
.....0.1.1.0.1.1.1.0
....0.0.1.1.0.0.1.1.1
...0.0.1.0.1.0.1.0.0.0

Crossrefs

Sequence in context: A155405 A155448 A155446 * A155373 A155444 A155439

Adjacent sequences: A155369 A155370 A155371 * A155373 A155374 A155375

Keyword

nonn

Author

R. H. Hardin Jan 22 2009

Status

approved