%I #4 Mar 31 2012 12:36:55
%S 1,2,11,145,4950,337440,52523314,18534928813,14760206822407,
%T 26441561136591477
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,4,2,0,0,0,2 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6's, every 1 is next to 1 4's, every 2 is next to 2 2's, every 3 is next to 3 0's, every 4 is next to 4 0's, every 5 is next to 5 0's, every 6 is next to 6 2's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........0..............0..............0..............2..............0
%e .......0.3............0.4............2.2............2.2............2.2
%e ......2.2.0..........3.0.0..........2.6.2..........0.0.3..........2.6.2
%e .....2.6.2.0........0.1.4.1........0.2.2.0........0.5.0.0........0.2.2.0
%e ....0.2.2.0.0......2.2.0.0.0......0.0.0.1.0......0.4.0.2.2......0.0.3.0.0
%e ...0.4.1.3.5.0....2.6.2.0.5.3....0.5.0.4.1.0....0.1.0.2.6.2....0.4.0.4.5.0
%e ..0.0.0.0.0.0.0..0.2.2.0.0.0.0..0.3.0.0.0.0.0..0.0.3.0.2.2.0..0.1.1.0.0.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Dec 30 2011