A155336 - OEIS

A155336

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

%I #5 Aug 25 2022 08:56:12

%S 1,7,19,43,112,333,1722,11278,66471,421203,3100169,28603780,333898461,

%T 4399044128,64174608851

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

%e Maximal 11 X 11 X 11 example

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

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

%e ...........1.1.1

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

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

%e ........0.0.0.0.1.0

%e .......1.1.0.0.0.0.0

%e ......1.0.0.1.0.1.1.1

%e .....1.0.0.1.0.1.0.0.1

%e ....0.1.0.0.1.0.0.1.0.1

%e ...0.0.1.1.0.1.1.1.0.1.0

%K nonn

%O 5,2

%A _R. H. Hardin_, Jan 22 2009