A155260 - OEIS

A155260

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

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

%S 1,7,25,55,130,1405,16466,116148,894657,15191483,400416491,9046002744,

%T 215811308360,8089887873673,451390921829837

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

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

%e Maximal 11 X 11 X 11 example

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

%e ............1.1

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

%e ..........1.1.0.0

%e .........0.0.0.1.1

%e ........1.0.1.0.1.1

%e .......1.1.1.0.1.0.0

%e ......0.1.0.0.0.1.0.1

%e .....1.0.0.1.1.0.0.1.0

%e ....1.1.1.0.0.1.1.0.1.1

%e ...0.1.0.1.0.1.1.0.1.1.0

%K nonn

%O 3,2

%A _R. H. Hardin_ Jan 22 2009