A155245 - OEIS

A155245

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

%I #3 Mar 31 2012 12:35:22

%S 1,7,25,70,416,2481,24212,281815,3600076,66159319,1542429625,

%T 45797988541,1765262317904

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

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

%e Maximal 11 X 11 X 11 example

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

%e ............1.0

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

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

%e .........1.0.0.0.0

%e ........1.0.0.0.1.1

%e .......0.1.1.0.1.0.0

%e ......1.0.0.1.0.1.0.1

%e .....1.0.0.0.0.1.0.0.1

%e ....0.1.0.1.1.0.0.0.1.0

%e ...1.1.0.1.0.1.1.0.0.1.1

%K nonn

%O 3,2

%A _R. H. Hardin_ Jan 22 2009