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%I #4 Mar 31 2012 12:36:31
%S 1,4,10,68,882,9972,355820,18442496,1309834738
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,0,1,2,1,1,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6's, every 1 is next to 1 0's, every 2 is next to 2 1's, every 3 is next to 3 2's, every 4 is next to 4 1's, every 5 is next to 5 1's, every 6 is next to 6 1's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........0..............0..............0..............0..............0
%e .......1.1............1.2............2.1............1.2............1.2
%e ......1.6.1..........1.3.1..........1.3.1..........1.5.1..........1.5.1
%e .....0.1.1.0........0.2.2.0........0.2.2.0........0.1.1.0........0.1.1.0
%e ....1.2.4.1.1......1.1.4.1.1......2.1.4.1.1......1.2.4.1.1......1.1.4.2.1
%e ...1.3.2.1.5.1....1.6.1.1.5.2....1.5.1.1.6.1....2.3.2.1.6.1....1.6.1.2.3.1
%e ..0.2.1.0.1.2.0..0.1.1.0.1.1.0..0.1.1.0.1.1.0..0.1.1.0.1.1.0..0.1.1.0.1.2.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 19 2011
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