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A197754 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,4,3,0,1,0,0 for x=0,1,2,3,4,5,6 0

%I #4 Mar 31 2012 12:36:30

%S 1,1,7,46,620,15146,684630,56031069,8451164309,2311439501298

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

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

%e All solutions with all values from 0 to 6 for 6X6X6

%e .......0............0............0............1............1............0

%e ......2.3..........0.0..........3.2..........4.1..........1.4..........0.0

%e .....3.0.0........0.6.0........0.0.3........1.1.0........0.1.1........0.6.0

%e ....0.0.5.0......1.0.0.3......0.5.0.0......0.0.5.0......0.5.0.0......3.0.0.1

%e ...0.6.0.1.1....4.1.5.0.2....1.1.0.6.0....0.6.0.0.3....3.0.0.6.0....2.0.5.1.4

%e ..0.0.0.1.4.1..1.1.0.0.3.0..1.4.1.0.0.0..0.0.0.3.2.0..0.2.3.0.0.0..0.3.0.0.1.1

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 17 2011

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