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

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

%S 1,2,8,38,554,8027,260677,15253597,1429110202,256355182462,

%T 80077276797247

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

%C Every 0 is next to 0 1's, every 1 is next to 1 5's, every 2 is next to 2 2's, every 3 is next to 3 2's, every 4 is next to 4 0'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 ........2..............2..............2..............0..............0

%e .......2.2............2.2............2.2............2.2............2.2

%e ......0.0.3..........0.0.3..........0.3.3..........2.1.2..........2.1.2

%e .....0.4.2.2........4.0.2.2........4.0.2.2........2.5.2.0........2.5.2.0

%e ....0.0.2.1.2......0.0.2.5.2......0.0.2.1.2......3.2.2.0.0......3.2.2.0.0

%e ...0.6.0.2.5.2....0.6.0.2.1.2....0.6.0.2.5.2....2.0.0.0.6.0....2.0.4.0.6.0

%e ..0.0.0.0.2.2.0..0.0.0.0.2.2.0..0.0.0.0.2.2.0..2.2.0.4.0.0.0..2.2.0.0.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011