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%I #4 Mar 31 2012 12:36:31
%S 1,4,10,54,453,2632,38088,648219,13492068,444723130
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,0,1,4,1,0,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 1's, every 3 is next to 3 4's, every 4 is next to 4 1's, every 5 is next to 5 0's, every 6 is next to 6 1's
%e Some solutions with all values from 0 to 6 for 8X8X8
%e .........0................0................0................0
%e ........1.1..............1.1..............0.0..............0.0
%e .......1.6.1............1.6.1............0.2.1............0.5.0
%e ......0.1.1.0..........0.1.1.0..........1.1.4.1..........0.0.2.1
%e .....1.1.4.2.0........0.2.4.1.1........1.4.3.1.0........0.2.1.4.1
%e ....1.4.3.1.0.0......0.0.1.3.4.1......0.2.1.4.1.1......1.1.4.3.1.0
%e ...0.2.1.4.2.5.0....0.5.2.4.1.2.0....0.5.0.2.1.6.1....1.6.1.1.4.2.0
%e ..0.0.0.1.1.0.0.0..0.0.0.1.1.0.0.0..0.0.0.0.0.1.1.0..0.1.1.0.1.1.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 19 2011
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