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%I #4 Mar 31 2012 12:37:04
%S 1,1,4,21,134,2338,56701,2696502,216819242,30810645304
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,3,1,2,0,0,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 3's, every 1 is next to 1 3's, every 2 is next to 2 1's, every 3 is next to 3 2's, every 4 is next to 4 0's, every 5 is next to 5 0's, every 6 is next to 6 0's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........0..............0..............0..............0..............0
%e .......4.0............1.2............0.0............2.1............1.2
%e ......0.0.0..........2.3.1..........0.0.0..........1.3.2..........2.3.1
%e .....0.6.0.0........0.1.2.0........0.5.0.0........0.2.1.0........0.1.2.0
%e ....4.0.0.1.2......0.5.0.0.4......2.1.0.6.0......0.0.0.5.0......4.0.0.5.0
%e ...0.0.5.2.3.1....0.0.0.6.0.0....1.3.2.0.0.4....0.0.6.0.0.0....0.0.6.0.0.0
%e ..0.0.0.0.1.2.0..0.0.4.0.0.0.0..0.2.1.0.0.0.0..0.0.0.0.0.4.0..0.4.0.0.4.0.0
%K nonn
%O 1,3
%A _R. H. Hardin_ Jan 21 2012
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