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%I #5 Mar 31 2012 12:36:31
%S 1,1,4,66,341,6460,235116,18535307,1636763958,270018271251,
%T 89711956850770
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,5,1,1,0,1,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 3's, every 1 is next to 1 5'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 1's, every 6 is next to 6 1's
%e All solutions with all values from 0 to 6 for 8X8X8
%e .........0................0................0................0
%e ........0.2..............1.1..............4.0..............1.1
%e .......2.1.1............2.5.1............0.0.1............2.5.1
%e ......0.1.5.2..........3.1.1.0..........0.1.5.1..........3.1.1.0
%e .....0.0.1.1.0........1.1.6.1.1........0.0.1.1.3........1.1.6.1.1
%e ....0.1.1.6.1.1......1.5.1.1.5.0......2.1.1.6.1.2......1.5.1.1.5.1
%e ...4.0.5.1.1.5.1....2.1.0.0.1.1.0....0.1.5.1.1.5.1....0.1.0.0.1.2.0
%e ..0.0.1.1.3.2.1.0..0.0.0.4.0.0.0.0..0.0.1.2.0.1.1.2..0.0.0.4.0.0.0.0
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 19 2011