%I #4 Mar 31 2012 12:36:51
%S 1,5,29,417,12113,736472,91564999,23215404807,12055249622625
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,1,2,0,2,2,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 1's, every 2 is next to 2 2's, every 3 is next to 3 0's, every 4 is next to 4 2's, every 5 is next to 5 2's, every 6 is next to 6 0's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........0..............0..............0..............0..............0
%e .......1.1............2.2............2.2............0.0............1.1
%e ......0.2.2..........2.5.2..........2.5.2..........0.6.0..........2.2.0
%e .....3.2.5.2........0.2.4.2........0.2.4.2........0.0.0.3........2.5.2.3
%e ....0.0.2.4.2......0.0.2.5.2......0.0.2.5.2......2.2.2.2.0......2.4.2.0.0
%e ...0.6.0.2.5.2....0.6.0.2.2.1....0.6.0.2.2.1....2.5.4.5.2.0....2.5.2.0.6.0
%e ..0.0.0.0.2.2.0..0.0.0.3.0.0.1..0.0.0.3.0.1.0..0.2.2.2.2.1.1..0.2.2.0.0.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Dec 23 2011
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