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A202757 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,1,0,1,2,0,0 for x=0,1,2,3,4,5,6 0

%I #5 Mar 31 2012 12:36:51

%S 1,7,33,523,13393,671285,69959124,13256354590,5115078510127

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

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

%e .......0.0............0.0............3.1............0.2............1.0

%e ......0.6.0..........0.6.0..........1.0.2..........2.2.4..........1.3.1

%e .....1.0.0.1........1.0.0.0........1.0.0.1........1.0.2.2........0.0.0.1

%e ....1.0.5.0.1......3.1.0.5.0......0.0.5.0.1......1.0.5.0.0......0.0.5.0.2

%e ...3.0.0.2.2.0....1.0.2.2.0.0....0.6.0.2.2.0....0.3.0.0.6.0....0.6.0.2.2.0

%e ..1.1.0.2.4.2.0..1.0.2.4.2.0.0..0.0.0.2.4.2.0..0.1.1.0.0.0.0..2.0.0.2.4.2.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 23 2011

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