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

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

%S 1,5,29,429,13478,910051,128957786,38406748458,24113736566952

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,1,2,0,2,0,2 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 2's, every 3 is next to 3 0's, every 4 is next to 4 2's, every 5 is next to 5 0's, every 6 is next to 6 2's

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

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

%e .......0.1............0.0............0.0............2.0............0.0

%e ......1.2.2..........0.5.0..........0.5.0..........2.2.0..........0.5.0

%e .....1.2.6.2........2.2.0.0........0.0.2.2........1.4.3.0........2.2.0.0

%e ....2.4.2.2.0......2.6.2.3.0......0.3.2.6.2......1.2.2.0.0......2.6.2.3.0

%e ...2.2.3.0.5.0....0.2.2.4.2.0....0.2.4.2.2.1....0.2.6.2.5.0....1.2.2.4.2.1

%e ..0.0.0.0.0.0.0..0.0.1.1.2.2.0..0.2.2.1.1.0.1..1.1.2.2.0.0.0..1.0.1.1.2.2.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011