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%I #4 Mar 31 2012 12:36:31
%S 1,5,29,432,13645,931718,133709280,40405952450,25811347705734
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,1,2,0,1,0,2 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6'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 1'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 ........0..............0..............0..............0..............0
%e .......1.0............0.1............1.1............2.2............2.2
%e ......1.4.1..........1.4.1..........0.4.0..........0.2.1..........2.6.2
%e .....2.2.1.0........0.1.0.3........0.1.1.0........0.1.4.1........0.2.2.0
%e ....2.6.2.0.0......2.2.0.0.0......2.2.0.0.3......2.2.1.0.0......0.5.0.1.1
%e ...1.2.2.0.5.0....2.6.2.5.0.3....2.6.2.5.0.1....2.6.2.0.5.3....3.0.0.3.4.0
%e ..1.0.0.0.0.3.0..0.2.2.0.0.3.0..0.2.2.0.0.1.0..0.2.2.0.0.0.0..0.1.1.0.1.1.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 19 2011
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