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

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

%S 1,1,1,50,244,854,141308,15242696,554207242,82170969714,75445949682688

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

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

%e .......1.1............1.1............1.1............1.1............0.1

%e ......1.5.1..........1.5.1..........1.5.1..........1.5.1..........1.5.1

%e .....0.0.1.4........0.0.1.4........0.2.1.4........4.1.0.0........2.1.1.4

%e ....0.0.3.1.1......0.0.3.1.1......0.0.3.1.1......1.1.3.0.0......0.0.3.1.1

%e ...0.6.0.1.5.2....0.6.0.1.5.1....0.6.0.1.5.1....1.5.1.0.6.0....0.6.0.0.5.1

%e ..0.0.0.2.1.1.0..0.0.0.2.1.2.0..0.0.0.2.1.0.0..2.1.0.0.0.0.0..0.0.0.0.1.1.0

%K nonn

%O 1,4

%A _R. H. Hardin_ Oct 19 2011