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%I #4 Mar 31 2012 12:36:31
%S 1,1,4,34,387,7146,271266,17975058,2117012924,449079964221
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,5,3,0,1,1,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 5's, every 2 is next to 2 3's, every 3 is next to 3 0's, every 4 is next to 4 1's, every 5 is next to 5 1'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............1.1............0.1............3.2............2.3
%e ......1.5.1..........1.5.1..........1.5.1..........0.0.3..........3.0.0
%e .....4.1.3.0........0.0.1.4........0.1.1.4........0.6.0.0........0.0.6.0
%e ....1.1.0.0.3......0.6.0.1.1......3.0.0.1.1......1.0.0.1.1......0.1.0.0.1
%e ...1.5.0.6.0.2....3.0.0.0.5.1....2.0.6.0.5.1....1.5.1.1.5.1....1.5.1.1.5.1
%e ..0.1.1.0.0.3.0..0.2.3.0.1.1.0..0.3.0.0.1.1.0..0.1.1.4.1.0.0..0.1.1.4.1.1.0
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 19 2011
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