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A197681 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,5,0,1,3,6,1 for x=0,1,2,3,4,5,6 0

%I #6 Mar 31 2012 12:36:30

%S 1,4,9,12,24,45,57,71,171,162,294,526,634,774,1965,1306,2739,4924

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

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

%e Some solutions for 5X5X5

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

%e .....0.0........0.0........2.2........2.0........0.0........2.2........0.0

%e ....2.0.2......2.2.2......2.0.2......2.2.2......0.0.0......0.2.0......0.0.0

%e ...2.2.2.2....0.2.2.0....2.0.0.2....0.0.2.0....0.0.0.0....2.2.2.2....0.0.0.0

%e ..0.0.2.0.0..0.0.2.0.2..0.2.2.2.0..2.0.2.2.0..0.0.0.0.2..0.2.0.2.0..2.0.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 17 2011

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