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Number of ways of placing n rods of length 3 in a 3x3x3 cubic lattice without any two rods intersecting (0 <= n <= 9).
1

%I #11 Nov 14 2016 07:21:23

%S 1,27,270,1278,3078,3888,2592,918,189,21

%N Number of ways of placing n rods of length 3 in a 3x3x3 cubic lattice without any two rods intersecting (0 <= n <= 9).

%C This appears in relation to the degeneracy of the ground states of certain 3-dimensional lattice models in statistical physics.

%Y Row n=3 of A185697.

%K fini,full,nonn

%O 0,2

%A _Marcos Simoes_, Jan 27 2011