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

%I #3 Mar 31 2012 12:35:22

%S 1,7,19,37,161,1807,11923,74305,996497,20101489,343266000,7112429890,

%T 240727989195,10493604835431,491234457919198,29614138644308932,

%U 2497584802462395442

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

%e Maximal 10 X 10 X 10 example

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

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

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

%e .........0.1.0.0

%e ........1.0.0.1.1

%e .......1.1.1.0.1.1

%e ......0.1.0.0.1.0.0

%e .....1.0.0.1.0.0.1.0

%e ....1.1.1.0.1.1.0.1.1

%e ...0.1.0.0.1.1.0.1.1.0

%K nonn

%O 3,2

%A _R. H. Hardin_ Jan 22 2009