A155333 - OEIS

A155333

Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,0 4,1 5,2 6,3 polyhexes in any orientation on a planar nXnXn triangular grid.

%I #3 Mar 31 2012 12:35:23

%S 1,7,19,70,241,813,4400,23369,158297,1249218,10771936,115482200

%N Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,0 4,1 5,2 6,3 polyhexes in any orientation on a planar nXnXn triangular grid.

%e Maximal 12 X 12 X 12 example

%e ..............0

%e .............0.1

%e ............0.0.1

%e ...........0.0.0.1

%e ..........0.0.0.0.1

%e .........1.0.0.0.1.0

%e ........1.0.0.0.1.0.1

%e .......1.0.0.0.1.0.1.0

%e ......1.0.0.0.0.0.1.0.1

%e .....0.1.0.1.1.1.1.0.1.0

%e ....0.0.1.0.0.0.0.0.1.0.0

%e ...0.0.0.1.0.1.1.1.1.0.0.0

%K nonn

%O 6,2

%A _R. H. Hardin_ Jan 22 2009