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%I #4 Mar 31 2012 12:36:55
%S 1,2,20,145,3738,159746,13220858,2414169949,858834945528
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,3,2,1,0,1,2 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6's, every 1 is next to 1 3'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 1's, every 6 is next to 6 2's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........0..............1..............1..............0..............0
%e .......0.0............1.3............3.1............0.4............4.0
%e ......2.2.1..........1.5.1..........1.5.1..........1.0.0..........0.0.1
%e .....2.6.2.3........3.1.1.1........1.1.1.3........1.3.2.2........2.2.3.1
%e ....0.2.2.1.1......1.2.2.3.1......1.3.2.2.1......1.1.2.6.2......2.6.2.1.1
%e ...4.0.3.1.5.1....0.2.6.2.0.0....0.0.2.6.2.0....3.5.1.2.2.0....0.2.2.1.5.3
%e ..0.0.1.1.1.3.1..0.0.2.2.0.4.0..0.4.0.2.2.0.0..1.1.1.3.1.0.0..0.0.1.3.1.1.1
%K nonn
%O 1,2
%A _R. H. Hardin_ Dec 30 2011
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