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%I #6 Nov 05 2014 17:58:20
%S 1,7,19,37,209,927,3227,19783,150961,985335,8837609,101553731,
%T 1116357221,14988545712
%N Number of ways to place zero or more nonadjacent (0,0) (1,0) (1,1) (2,0) (3,1) (4,0) (4,1) (5,1) polyhexes in any orientation on a planar n X n X n triangular grid.
%C Same series for (1,0) (1,1) (2,0) (3,0) (3,1) (4,1) (5,0) (5,1) polyhexes.
%e Maximal 9 X 9 X 9 example:
%e ...........0
%e ..........1.1
%e .........0.1.0
%e ........1.1.0.1
%e .......1.0.0.1.1
%e ......1.1.0.0.0.1
%e .....0.0.0.0.0.1.0
%e ....1.0.1.1.1.0.1.1
%e ...1.1.1.0.1.0.0.1.0
%K nonn
%O 5,2
%A _R. H. Hardin_, Jan 22 2009
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