A155360 Number of ways to place zero or more nonadjacent 0,0 1,0 1,1 2,0 2,2 3,0 3,1 3,2 polyhexes in any orientation on a planar nXnXn triangular grid.

1, 4, 10, 22, 40, 135, 924, 5789, 30931, 175032, 1467331, 18452914, 249998893, 3424732727, 53967206180, 1112604199677, 29667024358722, 907210467221174

Offset

3,2

Comments

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

Links

Table of n, a(n) for n=3..20.

Example

Maximal 10 X 10 X 10 example
............1
...........1.1
..........1.0.1
.........0.1.1.1
........0.0.0.0.0
.......0.1.1.1.0.0
......1.0.1.0.1.0.1
.....1.1.0.1.1.0.1.1
....1.0.1.0.1.0.1.0.1
...1.1.1.0.0.0.0.1.1.1

Crossrefs

Sequence in context: A298030 A155369 A155404 * A155382 A155287 A155337

Adjacent sequences: A155357 A155358 A155359 * A155361 A155362 A155363

Keyword

nonn

Author

R. H. Hardin Jan 22 2009

Status

approved