%I #5 Mar 31 2012 12:36:31
%S 1,5,17,110,1383,28772,979472,57250646,5612977959
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,2,1,0,2,2 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 5's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 0's, every 5 is next to 5 2's, every 6 is next to 6 2's
%e Some solutions with all values from 0 to 6 for 8X8X8
%e .........0................0................0................0
%e ........2.2..............2.2..............2.2..............4.0
%e .......2.5.2............2.5.2............2.5.2............0.0.4
%e ......1.2.5.2..........2.5.2.0..........2.5.2.0..........0.4.0.0
%e .....1.0.2.2.0........0.2.2.0.0........0.2.2.1.1........1.3.1.2.2
%e ....2.2.1.1.4.0......0.0.1.1.2.2......0.0.1.3.2.2......2.2.1.2.5.2
%e ...2.6.2.3.0.0.4....0.0.4.3.2.6.2....2.0.4.1.2.6.2....2.6.2.0.2.5.2
%e ..0.2.2.1.0.0.0.0..0.4.0.0.1.2.2.0..2.2.0.0.1.2.2.0..0.2.2.0.0.2.2.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 19 2011
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