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

%I #4 Mar 31 2012 12:36:55

%S 1,5,17,92,996,24896,920636,71124412,9968165333,2577755289185

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

%C Every 0 is next to 0 3's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 2's, every 4 is next to 4 0'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 7X7X7

%e ........0..............2..............0..............0..............0

%e .......0.0............2.2............0.0............0.0............0.0

%e ......0.5.0..........3.1.0..........0.6.0..........0.0.2..........0.6.0

%e .....2.2.0.0........2.2.4.0........0.0.0.0........0.5.2.2........0.0.0.0

%e ....3.2.0.6.0......0.2.0.0.0......0.5.0.4.0......0.0.0.1.3......0.4.0.5.0

%e ...2.1.4.0.0.0....0.0.5.0.6.0....2.0.2.2.1.2....0.6.0.4.2.2....2.2.1.2.0.0

%e ..2.2.0.0.0.0.0..0.4.0.0.0.0.0..2.2.0.2.3.2.2..0.0.0.0.0.2.0..0.2.3.2.2.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 29 2011