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%I #5 Dec 27 2023 22:37:15
%S 1,4,13,28,125,568,3422,27373,226848,2490002,34395449,564841115,
%T 11835714950,297683710781,9228089921657
%N Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 3,0 4,1 polyhexes in any orientation on a planar n X n X n triangular grid.
%e Maximal 9 X 9 X 9 example
%e ...........0
%e ..........0.0
%e .........1.1.1
%e ........1.0.0.1
%e .......0.0.0.0.0
%e ......1.1.0.0.1.1
%e .....1.0.0.0.0.0.1
%e ....1.0.1.0.0.1.0.1
%e ...0.1.0.1.1.1.0.1.0
%K nonn
%O 3,2
%A _R. H. Hardin_, Jan 22 2009
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