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%I #7 Mar 31 2012 12:36:30
%S 1,1,4,12,42,172,768,4488,28215,202201,1848800,18647319,230926401
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,4,5,0,0,5,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 4's, every 2 is next to 2 5's, every 3 is next to 3 0's, every 4 is next to 4 0's, every 5 is next to 5 5's, every 6 is next to 6 1's
%e Some solutions for 5X5X5
%e ......0..........0..........0..........0..........0..........0..........0
%e .....0.0........0.0........0.0........3.0........0.3........3.0........0.0
%e ....3.0.3......0.0.0......0.0.0......3.0.3......0.0.3......3.0.0......0.0.3
%e ...0.3.3.0....0.0.0.0....3.0.0.3....0.0.0.3....0.0.0.0....0.0.0.0....3.0.0.3
%e ..0.3.0.3.0..0.3.3.0.0..0.3.0.3.0..0.3.3.0.0..0.0.3.3.0..0.0.3.3.0..0.3.0.0.0
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 17 2011