%I #4 Mar 31 2012 12:36:31
%S 1,4,4,41,434,2975,123177,4063153,194524778
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 0,0,2,1,2,1,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 0'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 2's, every 5 is next to 5 1's, every 6 is next to 6 1's
%e Some solutions with all values from 0 to 6 for 8X8X8
%e .........1................0................1................0
%e ........0.1..............1.1..............0.3..............1.1
%e .......2.2.2............1.6.1............1.1.1............1.6.1
%e ......2.1.4.2..........0.1.1.0..........1.5.1.0..........0.1.1.0
%e .....0.2.0.2.0........1.1.2.2.2........0.1.2.2.2........2.2.2.1.1
%e ....1.1.2.2.1.3......1.5.2.1.1.2......1.1.2.4.1.2......2.4.4.2.5.1
%e ...1.6.1.1.5.1.1....0.1.1.2.0.4.2....1.6.1.2.0.2.0....0.2.0.2.1.1.0
%e ..0.1.1.0.1.1.0.1..1.3.1.0.2.2.2.0..0.1.1.0.2.2.1.1..1.1.2.2.0.3.1.1
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 18 2011
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