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%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