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

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

%S 1,1,10,67,854,17622,946069,78840479,11293856230,2985961804881

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

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

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

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

%e ......3.0..........0.0..........4.1..........1.4..........0.0..........0.0

%e .....0.5.0........0.6.0........1.1.2........2.1.1........0.6.0........0.5.3

%e ....0.0.0.2......3.0.0.2......0.0.0.0......0.0.0.0......3.0.0.1......2.0.0.0

%e ...0.6.0.1.1....0.5.0.1.1....0.6.0.5.0....3.5.0.6.0....0.5.0.1.4....1.1.0.6.0

%e ..0.0.0.1.4.1..0.0.0.1.4.1..0.0.0.3.0.0..0.0.0.0.0.0..0.0.0.2.1.1..1.4.1.0.0.0

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 18 2011