A155380 - OEIS

A155380

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

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

%S 1,4,10,19,40,120,445,2107,10099,50833,296830,2080084,17252149,

%T 164656985,1767665953,21481633518,300312864497

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

%e Maximal 10 X 10 X 10 example

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

%e ...........0.0

%e ..........1.0.0

%e .........1.1.1.0

%e ........0.0.1.1.1

%e .......1.1.0.0.1.0

%e ......0.1.0.0.0.0.1

%e .....0.1.1.0.0.1.1.1

%e ....0.0.1.0.1.1.1.0.0

%e ...0.0.1.1.0.1.0.0.0.0

%K nonn

%O 5,2

%A _R. H. Hardin_ Jan 22 2009