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

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

%S 1,4,9,59,387,4969,87553,2358187,102676311,6725836038

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

%C Every 0 is next to 0 3'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 ........0..............1..............0..............0..............0

%e .......0.2............3.1............0.2............2.0............0.0

%e ......2.2.4..........1.2.2..........2.2.4..........4.2.2..........0.6.0

%e .....2.0.2.2........2.0.0.0........2.0.2.2........2.2.0.2........2.0.0.0

%e ....1.0.5.0.0......2.0.5.0.0......1.0.5.0.0......0.0.5.0.1......4.2.5.0.2

%e ...3.2.0.0.6.0....0.2.2.0.6.0....3.2.0.0.6.0....0.6.0.0.2.3....2.2.0.0.2.1

%e ..1.1.2.0.0.0.2..0.2.4.2.0.0.0..1.1.2.0.0.0.0..0.0.0.0.2.1.1..0.0.2.2.1.3.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011