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A197938 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,0,1,2,1,1 for x=0,1,2,3,4,5,6 0

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

%S 1,7,18,118,2239,29226,1186857,77129141,6322573893

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,0,1,2,1,1 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 1's, every 4 is next to 4 2's, every 5 is next to 5 1's, every 6 is next to 6 1's

%e Some solutions with all values from 0 to 6 for 7X7X7

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

%e .......2.0............1.1............1.1............2.2............1.1

%e ......2.4.2..........1.6.1..........1.6.1..........0.4.0..........1.5.1

%e .....0.0.2.0........0.1.1.0........0.1.1.0........0.2.2.0........0.1.3.0

%e ....1.3.1.1.1......0.2.3.3.1......2.2.3.1.1......1.1.3.1.1......1.1.1.0.2

%e ...1.5.1.1.6.1....2.4.2.1.5.1....0.4.0.2.5.1....1.6.1.3.5.1....1.6.1.2.4.2

%e ..0.1.1.0.1.1.0..0.2.0.0.1.1.0..0.2.2.0.1.1.0..0.1.1.0.1.1.0..0.1.1.0.2.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 19 2011

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