A155357 - OEIS

A155357

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

%I #5 Oct 02 2025 21:59:45

%S 1,7,19,37,209,927,4735,37071,286745,2579963,31707495,434469270,

%T 7173015390,147194484531,3498010136593

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

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

%e Maximal 11 X 11 X 11 example

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

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

%e ...........0.1.1

%e ..........0.0.1.1

%e .........1.1.0.1.1

%e ........1.1.0.0.1.1

%e .......1.1.0.0.0.0.0

%e ......1.1.0.1.1.0.1.1

%e .....0.0.0.0.1.1.0.1.1

%e ....1.1.1.1.0.1.1.0.1.1

%e ...0.1.1.1.1.0.1.1.0.1.1

%K nonn

%O 4,2

%A _R. H. Hardin_, Jan 22 2009