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

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

%S 1,4,21,265,5408,284316,27312550,4644354501,1817882439930

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

%C Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 2'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 7X7X7

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

%e .......0.0............0.0............1.0............0.0............0.0

%e ......0.6.0..........1.0.0..........3.1.0..........0.6.0..........0.6.0

%e .....0.0.0.2........3.1.5.0........1.0.0.0........0.0.0.2........0.0.0.1

%e ....0.5.0.2.4......0.1.0.0.0......2.0.5.0.0......0.0.5.2.4......0.5.0.1.3

%e ...0.0.1.2.2.2....0.2.2.0.6.0....0.2.2.0.6.0....1.1.0.0.2.2....0.0.2.2.0.1

%e ..0.1.3.1.0.0.0..0.2.4.2.0.0.2..0.2.4.2.0.0.0..0.3.1.2.2.0.0..2.0.2.4.2.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011