%I #4 Mar 31 2012 12:36:33
%S 1,1,13,54,846,25780,859573,86163253,12266096117,3194757527455
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,3,3,1,1,0,1 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 3'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 1's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........0..............0..............0..............0..............0
%e .......1.1............0.0............1.3............0.0............1.1
%e ......3.2.3..........0.5.0..........4.1.1..........0.5.0..........3.2.3
%e .....1.1.1.1........1.3.0.1........1.1.6.1........1.0.3.1........1.1.1.1
%e ....1.6.1.0.0......4.1.1.1.3......0.3.1.1.3......3.1.1.1.4......0.0.1.6.1
%e ...3.1.1.3.5.0....1.1.6.1.2.1....0.5.0.1.2.1....1.2.1.6.1.1....0.5.3.1.1.3
%e ..0.1.4.1.0.0.0..0.3.1.1.3.1.0..0.0.0.1.3.1.0..0.1.3.1.1.3.0..0.0.0.1.4.1.0
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 21 2011