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

%I #4 Mar 31 2012 12:36:30

%S 1,2,23,359,14055,1201128,242811875,111519014903,116476823660735

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,3,2,0,0,0,2 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 0's, every 4 is next to 4 0's, every 5 is next to 5 0's, every 6 is next to 6 2's

%e Some solutions with all values from 0 to 6 for 6X6X6

%e .......1............0............0............0............0............0

%e ......3.0..........2.2..........2.2..........0.3..........3.0..........2.2

%e .....0.0.4........2.6.2........2.6.2........4.0.1........1.0.4........2.6.2

%e ....2.2.0.0......1.2.2.0......0.2.2.0......0.0.2.2......2.2.0.0......0.2.2.1

%e ...2.6.2.5.0....3.0.0.5.0....3.0.0.5.0....0.5.2.6.2....2.6.2.5.0....0.5.0.0.3

%e ..0.2.2.0.0.0..0.0.4.0.0.0..1.0.4.0.0.0..0.0.0.2.2.0..0.2.2.0.0.0..0.0.0.4.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 17 2011