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A203222 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,0,0,2,1,1,1 for x=0,1,2,3,4,5,6 1

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

%S 1,7,18,120,2053,33224,1174645,76951515,7087224160

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

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

%e .......1.1............1.0............0.1............1.1............2.0

%e ......1.6.1..........1.5.1..........1.5.1..........1.6.1..........1.1.1

%e .....0.1.1.0........0.1.1.1........1.1.1.0........0.1.1.0........0.1.5.1

%e ....1.1.4.2.1......1.1.4.0.2......1.0.4.1.1......0.2.5.1.1......1.1.4.1.0

%e ...1.5.1.0.3.2....1.6.1.2.3.0....2.3.2.1.6.1....2.3.1.1.4.1....1.6.1.2.3.2

%e ..1.0.1.1.2.0.0..0.1.1.0.2.0.2..0.0.2.0.1.1.0..0.2.0.2.0.0.1..0.1.1.0.0.2.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 30 2011

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