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%I #5 Mar 31 2012 12:36:31
%S 1,7,22,257,5769,258173,21854361,3617298480,1166269109887,
%T 731687066483043
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,1,1,0,3,0,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 2's, every 1 is next to 1 1's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 3'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..............2..............0..............2..............2
%e .......0.0............1.1............0.0............1.1............1.1
%e ......0.6.0..........0.0.3..........0.6.0..........3.0.0..........0.0.0
%e .....0.0.0.0........0.5.0.0........3.0.0.0........0.0.5.0........0.5.0.3
%e ....0.5.3.3.0......0.0.3.3.0......0.4.3.5.0......0.3.3.0.0......0.0.3.4.0
%e ...1.0.0.4.3.1....0.6.0.4.3.3....3.3.3.0.0.1....1.3.4.0.6.0....0.6.0.3.3.1
%e ..2.1.0.3.0.0.1..0.0.0.3.0.0.0..0.0.0.0.3.1.2..1.0.0.3.0.0.0..0.0.0.0.0.0.1
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 20 2011
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