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A198003 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,5,1,1,1,1,1 for x=0,1,2,3,4,5,6 0

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

%S 1,1,1,25,31,73,37487,151968,2529733,1741375327,89777954615

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

%C Every 0 is next to 0 2'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 1's

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

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

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

%e ......1.5.1..........1.5.1..........2.5.1..........1.5.1..........1.5.0

%e .....4.1.1.0........4.1.1.0........2.1.1.3........3.1.1.4........4.1.1.3

%e ....1.1.6.1.0......1.1.6.1.0......2.1.6.1.0......0.1.6.1.1......1.1.6.1.1

%e ...1.5.1.1.5.1....1.5.1.1.5.1....1.5.1.1.5.1....1.5.1.1.5.1....0.5.1.1.5.0

%e ..0.1.0.3.1.1.2..2.1.0.3.1.1.2..2.1.1.4.1.1.0..2.1.1.0.0.1.2..0.1.1.0.1.1.0

%K nonn

%O 1,4

%A _R. H. Hardin_ Oct 20 2011

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