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%I #4 Mar 31 2012 12:36:31
%S 1,1,4,23,99,3534,128172,3539360,652403517,143579369777
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,4,3,1,1,1,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 2's, every 1 is next to 1 4's, every 2 is next to 2 3's, every 3 is next to 3 1's, every 4 is next to 4 1's, every 5 is next to 5 1's, every 6 is next to 6 0's
%e Some solutions with all values from 0 to 6 for 8X8X8
%e .........1................1................1................0
%e ........4.1..............1.4..............4.1..............0.0
%e .......1.1.3............3.1.1............1.1.3............0.6.0
%e ......0.3.2.1..........1.2.3.0..........2.3.3.1..........1.0.0.1
%e .....0.0.1.4.1........1.4.1.0.1........1.3.1.4.1........1.4.1.1.4
%e ....0.6.0.1.5.1......0.0.1.5.1.4......4.1.5.1.0.0......3.3.1.5.1.1
%e ...0.0.0.1.1.1.4....0.6.0.1.1.1.1....1.1.1.1.0.6.0....1.1.3.3.1.1.3
%e ..0.0.0.1.4.1.1.1..0.0.0.1.4.1.3.0..0.3.1.4.1.0.0.0..1.4.1.2.1.4.1.0
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 18 2011
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