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

%I #4 Mar 31 2012 12:36:55

%S 1,4,12,91,1025,17899,514912,23374383,1767641965,213207884368

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

%C Every 0 is next to 0 1's, every 1 is next to 1 4's, every 2 is next to 2 0's, every 3 is next to 3 0'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

%e Some solutions with all values from 0 to 6 for 7X7X7

%e ........0..............0..............0..............0..............2

%e .......0.3............2.0............0.0............2.0............0.0

%e ......2.2.0..........1.2.0..........0.6.0..........1.2.0..........0.6.0

%e .....0.5.2.3........2.4.2.0........2.0.0.3........2.4.2.0........3.0.0.2

%e ....0.2.2.0.0......0.0.2.5.2......1.4.2.2.0......0.0.2.5.2......0.2.2.4.1

%e ...0.2.4.0.6.0....0.6.0.2.2.0....2.2.2.5.2.3....0.6.0.2.2.0....3.2.5.2.2.2

%e ..0.2.1.2.0.0.0..0.0.0.3.0.3.0..0.0.0.0.2.0.0..2.0.0.3.0.3.0..0.0.2.0.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 29 2011