A155325 - OEIS

A155325

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

%I #5 Apr 23 2021 13:51:49

%S 1,7,19,37,133,535,2615,17641,119940,924944,8924108,102805254,

%T 1407633936,22958195053,437437783099

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

%e Maximal 10 X 10 X 10 example

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

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

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

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

%e ........0.1.0.0.0

%e .......0.1.0.0.1.0

%e ......0.0.0.0.0.1.0

%e .....0.1.0.0.0.1.1.1

%e ....1.1.1.1.1.0.0.1.0

%e ...0.0.0.1.0.0.0.0.1.0

%K nonn

%O 5,2

%A _R. H. Hardin_ Jan 22 2009