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Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 1,3,4,6,0,2,6 for x=0,1,2,3,4,5,6
0

%I #6 Mar 31 2012 12:36:30

%S 1,1,4,18,89,914,14965,321510,12712330,879485238,102013590235,

%T 20591125917598,6951014585410261

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 1,3,4,6,0,2,6 for x=0,1,2,3,4,5,6

%C Every 0 is next to 0 1's, every 1 is next to 1 3's, every 2 is next to 2 4's, every 3 is next to 3 6's, every 4 is next to 4 0's, every 5 is next to 5 2's, every 6 is next to 6 6's

%e Some solutions for 5X5X5

%e ......0..........0..........0..........0..........0..........0..........0

%e .....0.0........0.4........4.0........4.0........0.0........0.0........4.0

%e ....2.4.0......4.0.0......0.0.4......0.0.0......0.0.0......0.0.4......0.0.0

%e ...0.4.0.0....0.0.0.0....4.0.0.0....4.0.0.0....0.0.0.4....0.0.0.0....0.0.0.4

%e ..0.0.0.0.0..0.4.0.4.0..0.0.0.4.0..0.0.0.0.0..0.4.0.0.0..0.4.0.0.0..0.0.0.0.0

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 16 2011