%I
%S 1,7,39,437,8925,305779,18569865,1972604754,365315073334,
%T 118431758924590
%N Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,0,0,0,1,0,0 for x = 0,1,2,3,4,5,6.
%C Every 0 is next to 0 4'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 0's, every 6 is next to 6 0's.
%e Some solutions with all values from 0 to 6 for 7 X 7 X 7
%e ........0..............1..............2..............2..............0
%e .......2.1............0.3............0.0............0.0............3.2
%e ......0.1.4..........0.0.0..........0.0.0..........0.0.0..........0.0.3
%e .....2.3.1.1........0.0.6.0........0.6.0.0........0.0.5.0........0.6.0.0
%e ....3.0.0.3.0......2.3.0.0.0......3.0.0.3.1......1.2.3.0.0......0.0.0.3.1
%e ...0.0.6.0.5.0....0.1.1.3.5.0....2.0.5.2.4.1....1.4.2.0.6.0....3.5.0.3.4.1
%e ..1.3.0.0.0.0.2..1.1.4.1.0.0.2..0.3.0.0.1.1.0..0.1.1.0.0.0.0..0.0.0.0.1.1.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Dec 30 2011
