login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

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

%I #5 Apr 25 2023 07:50:10

%S 1,4,13,37,152,704,5022,42621,420222,5313446,83504848,1668949583,

%T 41600395450,1285489016880,49769130940759

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

%e Maximal 13 X 13 X 13 example

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

%e ..............1.0

%e .............1.1.0

%e ............1.0.0.1

%e ...........0.0.0.0.1

%e ..........0.1.0.0.1.1

%e .........1.0.1.0.0.0.1

%e ........1.0.1.1.0.1.0.0

%e .......1.1.0.0.1.0.1.1.0

%e ......1.0.0.0.0.0.0.1.0.1

%e .....0.0.1.1.1.1.0.0.1.0.1

%e ....0.1.0.0.1.0.0.1.0.0.1.1

%e ...1.1.1.1.0.0.1.1.1.1.0.0.1

%K nonn

%O 3,2

%A _R. H. Hardin_, Jan 22 2009