%I #4 Mar 31 2012 12:36:55
%S 1,7,39,391,7116,215645,11464709,1047501118,164954468453,
%T 45226508899186
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,0,0,1,1,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 5's, every 1 is next to 1 0's, every 2 is next to 2 0's, every 3 is next to 3 0's, every 4 is next to 4 1's, every 5 is next to 5 1's, every 6 is next to 6 1's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........0..............0..............1..............0..............0
%e .......3.0............1.1............0.1............0.3............0.0
%e ......0.3.0..........1.6.1..........2.4.1..........2.2.0..........2.3.0
%e .....1.1.2.0........0.1.1.0........0.1.1.0........0.1.1.1........0.1.1.1
%e ....1.5.4.1.1......1.1.5.1.2......0.2.5.1.1......1.1.5.4.1......1.1.5.4.1
%e ...0.1.1.1.6.1....1.4.4.1.2.0....0.3.1.1.6.1....1.6.1.1.4.0....1.6.1.1.2.0
%e ..0.2.1.0.1.1.0..1.0.1.1.0.3.0..0.0.2.0.1.1.0..0.1.1.0.1.1.1..0.1.1.0.2.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Dec 29 2011