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 A197860 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 0,3,2,1,1,2,1 for x=0,1,2,3,4,5,6 0

%I

%S 1,1,7,7,278,1563,32827,1212889,38101597

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

%C Every 0 is next to 0 0's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 1's, every 5 is next to 5 2's, every 6 is next to 6 1's

%e Some solutions with all values from 0 to 6 for 8X8X8

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

%e ........2.2..............2.2..............2.2..............2.2

%e .......1.1.1............2.5.2............2.5.2............2.0.2

%e ......0.3.0.3..........0.2.0.2..........0.2.0.2..........2.5.2.0

%e .....2.2.1.1.1........1.3.2.2.1........1.3.2.2.1........0.2.2.3.1

%e ....2.5.2.1.6.1......0.1.1.4.1.3......4.1.1.4.1.3......1.3.1.1.1.4

%e ...2.0.2.3.1.1.3....1.1.6.1.1.2.1....1.1.6.1.1.2.1....2.1.0.1.6.1.1

%e ..0.2.2.0.1.4.1.0..0.3.1.1.3.2.2.0..0.3.1.1.3.2.2.0..2.2.1.3.1.1.3.0

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 18 2011

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