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

%I #5 Mar 31 2012 12:36:31

%S 1,7,39,392,7251,221673,11897698,1109783691,179093402627,

%T 50403959307911

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

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

%e .......2.0............0.0............0.0............1.1............1.1

%e ......0.2.2..........3.0.2..........0.6.0..........1.5.1..........1.5.1

%e .....3.2.4.0........0.2.4.2........0.0.0.3........0.2.1.0........0.2.1.0

%e ....0.0.2.1.1......1.1.2.0.0......1.2.2.2.0......0.0.2.2.0......0.0.2.4.2

%e ...0.6.0.2.5.1....1.5.2.0.6.0....1.5.1.4.2.3....0.6.0.2.4.2....0.6.0.2.2.0

%e ..0.0.0.0.1.1.0..0.1.1.0.0.0.0..0.1.1.0.2.0.0..2.0.0.3.0.2.0..0.0.0.3.0.2.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011