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%I #4 Mar 31 2012 12:36:31
%S 1,5,14,69,569,8964,189264,6103090,342274668,29503989612
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,0,2,1,1,0,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 3's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 1'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 8X8X8
%e .........1................2................1................1
%e ........1.0..............2.2..............0.1..............1.0
%e .......3.1.1............0.0.0............1.1.3............3.1.1
%e ......2.1.4.1..........2.0.6.0..........1.4.1.2..........2.1.4.1
%e .....2.2.0.0.1........2.2.0.0.0........0.2.0.2.2........2.2.0.0.1
%e ....0.0.0.5.2.2......3.1.0.5.0.0......0.2.2.0.0.0......0.0.5.0.2.1
%e ...2.0.6.0.0.2.0....1.1.4.0.2.2.0....0.0.0.5.0.6.0....0.6.0.0.2.2.0
%e ..2.2.0.0.0.0.0.0..1.0.1.1.1.2.1.1..0.0.0.0.0.0.0.0..0.0.0.0.0.1.1.1
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 19 2011
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