%I #4 Mar 31 2012 12:36:32
%S 1,2,11,74,976,21825,872834,59303832,7042717250,1444475469020
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,4,2,0,1,2,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 4's, every 2 is next to 2 2's, every 3 is next to 3 0's, every 4 is next to 4 1'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..............1..............0..............0..............1
%e .......0.0............4.1............0.0............2.2............4.1
%e ......0.6.0..........1.1.0..........0.6.0..........2.0.2..........1.1.0
%e .....3.0.0.0........2.2.3.0........3.0.0.0........0.2.5.2........3.0.2.2
%e ....1.0.2.2.2......2.0.2.0.0......1.0.2.2.2......0.0.2.2.1......0.0.2.5.2
%e ...4.1.2.5.0.2....2.5.2.0.6.0....4.1.2.0.5.2....0.6.0.3.1.4....0.6.0.2.0.2
%e ..1.1.0.2.2.2.0..0.2.2.0.0.0.0..1.1.0.2.2.2.0..0.0.0.0.0.1.1..0.0.0.0.2.2.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 21 2011
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