%I #4 Mar 31 2012 12:36:31
%S 1,1,13,52,786,25425,808145,82768814,12208450292,3222958108566
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,3,4,1,1,0,0 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 4'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 .........0................0................0................1
%e ........0.0..............0.0..............0.0..............3.0
%e .......0.5.0............0.5.1............0.5.1............1.1.1
%e ......3.1.0.1..........1.0.0.3..........1.0.0.3..........1.4.2.3
%e .....1.1.4.1.3........1.3.0.1.1........0.3.1.1.1........3.1.4.1.1
%e ....0.0.1.2.4.1......0.0.1.4.2.1......0.0.1.4.4.1......0.1.1.1.0.0
%e ...0.6.0.3.1.1.0....0.6.0.1.1.4.3....0.6.0.1.2.1.3....0.5.0.3.0.6.0
%e ..0.0.0.1.0.1.3.1..0.0.0.0.3.1.1.1..0.0.0.1.3.1.1.0..0.0.0.1.0.0.0.0
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 18 2011
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