%I #4 Mar 31 2012 12:36:31
%S 1,1,25,149,2616,297324,20029669,3450459535,2116727009559
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,3,1,1,1,0,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 1'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..............1..............0..............1..............2
%e .......0.0............2.3............1.3............3.2............1.1
%e ......0.5.0..........0.1.1..........4.1.1..........1.1.0..........3.4.3
%e .....0.0.3.1........1.1.6.1........1.1.6.1........1.6.1.1........1.1.1.1
%e ....0.0.1.1.4......0.3.1.1.3......0.3.1.1.3......3.1.1.3.0......1.6.1.0.0
%e ...0.2.1.6.1.1....0.5.0.1.4.1....0.5.0.1.0.1....1.4.1.0.5.0....3.1.1.3.5.0
%e ..0.1.3.1.1.3.0..0.0.0.1.3.1.2..0.0.0.1.3.1.2..0.1.3.1.0.0.0..0.1.4.1.0.0.0
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 20 2011