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%I #5 Mar 31 2012 12:36:31
%S 1,2,17,164,2549,90950,6988978,961704504,218699376532,98658175034997
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,2,2,0,3,2,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 5's, every 1 is next to 1 2's, every 2 is next to 2 2's, every 3 is next to 3 0's, every 4 is next to 4 3's, every 5 is next to 5 2's, every 6 is next to 6 0's
%e Some solutions with all values from 0 to 6 for 8X8X8
%e .........0................2................0................0
%e ........0.3..............2.2..............3.0..............2.2
%e .......0.3.0............1.0.0............0.3.0............2.5.2
%e ......0.3.4.3..........0.0.6.0..........0.3.4.3..........0.2.5.2
%e .....0.0.3.0.0........2.2.0.0.3........0.0.3.0.0........0.0.2.2.0
%e ....2.2.2.0.6.0......2.5.2.3.4.0......0.6.0.2.2.2......0.3.3.0.0.1
%e ...2.5.5.2.0.0.2....2.5.2.0.3.3.0....2.0.0.2.5.5.2....3.3.4.0.6.0.2
%e ..0.2.2.2.0.1.2.2..0.2.2.0.0.0.3.0..2.2.1.0.2.2.2.0..0.0.0.3.0.0.2.2
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 18 2011
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