A155243 - OEIS

A155243

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

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

%S 1,7,19,37,102,1264,9091,48176,418130,8182255,143523182,2278072430,

%T 53254810257,2027413206531,84728501324609,3776435859240528,

%U 226344677177142828,18987749209358606115,1902812184280545994272

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

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

%e Maximal 10 X 10 X 10 example

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

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

%e ..........1.0.1

%e .........0.0.1.0

%e ........1.1.0.0.1

%e .......1.0.0.1.0.1

%e ......0.1.1.0.1.1.0

%e .....1.0.0.0.0.0.0.1

%e ....1.0.1.0.0.0.1.0.1

%e ...0.1.1.0.0.0.0.1.1.0

%K nonn

%O 3,2

%A _R. H. Hardin_ Jan 22 2009