A155440 - OEIS

A155440

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

%I #6 Nov 10 2024 13:01:22

%S 1,7,19,37,76,332,1823,10749,53165,313295,2436626,24495034,277288339,

%T 3304478802,44732292922,736452039398

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

%C Same series for 1,1 2,0 2,1 3,2 3,3 4,2 4,3 5,4 polyhexes.

%e Maximal 10 X 10 X 10 example

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

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

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

%e .........0.1.0.1

%e ........0.0.1.1.0

%e .......0.1.0.0.1.0

%e ......1.1.0.0.0.0.0

%e .....1.0.1.0.0.1.1.1

%e ....1.0.1.0.1.1.0.0.0

%e ...0.0.1.0.0.0.1.1.1.0

%K nonn,more

%O 5,2

%A _R. H. Hardin_, Jan 22 2009