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

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

%S 1,4,13,37,146,620,2737,17298,136979,1185666,12752003,161758550,

%T 2364549128,42702118766

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

%C Same series for 0,0 1,0 2,0 2,1 3,0 3,1 4,0 polyhexes.

%e Maximal 11 X 11 X 11 example

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

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

%e ...........0.1.0

%e ..........1.0.1.1

%e .........1.0.0.0.1

%e ........0.1.0.0.0.0

%e .......1.1.0.0.1.1.0

%e ......1.0.0.1.1.0.1.1

%e .....0.0.0.0.0.0.0.0.0

%e ....1.1.0.1.1.0.0.1.1.0

%e ...0.0.1.1.0.0.1.1.0.1.1

%K nonn

%O 4,2

%A _R. H. Hardin_ Jan 22 2009