_R. H. Hardin (rhhardin(AT)att.net) _ Oct 18 2011

editing

approved

allocated Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,2,2,4,2,2,0 for Ron Hardinx=0,1,2,3,4,5,6

1, 2, 14, 75, 395, 7824, 301091, 11257797, 652574674, 84965445327, 18374481313916

1,2

Every 0 is next to 0 3's, every 1 is next to 1 2's, every 2 is next to 2 2's, every 3 is next to 3 4's, every 4 is next to 4 2's, every 5 is next to 5 2's, every 6 is next to 6 0's

Some solutions with all values from 0 to 6 for 8X8X8

.........2................0................0................0

........2.2..............1.0..............1.0..............0.1

.......0.0.1............0.2.2............0.2.2............2.2.0

......0.6.0.0..........1.2.5.2..........1.2.5.2..........2.5.2.1

.....0.0.0.2.2........0.0.2.4.2........0.0.2.4.2........2.4.2.0.0

....2.2.2.2.4.2......0.6.0.2.3.2......0.6.0.2.3.2......2.3.2.0.6.0

...2.5.4.4.3.4.2....0.0.0.2.4.4.2....2.0.0.2.4.4.2....2.4.4.2.0.0.2

..0.2.2.2.2.2.2.0..0.0.0.0.2.2.2.0..2.2.0.0.2.2.2.0..0.2.2.2.0.0.2.2

allocated

nonn

R. H. Hardin (rhhardin(AT)att.net) Oct 18 2011

approved

editing

allocated for Ron Hardin

allocated

approved