A155382 - OEIS

A155382

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

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

%S 1,4,10,22,40,141,496,2636,13567,76878,469481,3693548,33420872,

%T 360497441,4317343069,60086409152

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

%e Maximal 9 X 9 X 9 example

%e ...........1

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

%e .........0.1.1

%e ........0.1.0.0

%e .......1.1.1.0.1

%e ......0.0.0.0.1.0

%e .....1.0.1.0.1.1.0

%e ....1.1.1.1.0.0.1.0

%e ...1.0.0.0.1.0.1.1.1

%K nonn

%O 4,2

%A _R. H. Hardin_ Jan 22 2009