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%I #6 Mar 31 2012 12:36:30
%S 1,1,22,87,1726,68819,4003781,565032173,152764693020,80175405643606
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,3,1,1,0,0,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 2's, every 1 is next to 1 3's, every 2 is next to 2 1's, every 3 is next to 3 1'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 6X6X6
%e .......2............0............2............0............0............0
%e ......1.1..........0.4..........1.1..........0.0..........4.0..........4.0
%e .....1.3.0........0.0.0........1.3.0........0.6.0........0.0.0........0.0.4
%e ....0.0.5.0......0.5.0.0......0.0.5.0......1.0.0.0......0.0.5.0......0.5.0.0
%e ...0.6.0.0.4....1.3.0.6.0....0.6.0.0.4....1.3.5.0.0....0.6.0.3.1....1.3.0.6.0
%e ..0.0.0.0.0.0..2.1.1.0.0.0..0.0.0.4.0.0..2.1.0.0.4.0..0.0.0.1.1.2..2.1.1.0.0.0
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 17 2011
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