A198055 - OEIS

%I #4 Mar 31 2012 12:36:32

%S 1,7,24,201,2473,49462,1645915,91920138,8607887484,1360576772241

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

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

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

%e ........2..............0..............2..............0..............1

%e .......0.0............0.0............0.0............0.0............0.1

%e ......0.5.0..........0.4.0..........0.4.0..........0.4.0..........1.1.3

%e .....2.2.0.2........2.1.1.1........1.1.1.2........1.1.1.2........1.6.1.2

%e ....0.1.1.1.3......0.2.1.6.1......1.6.1.2.0......1.6.1.2.0......0.1.1.0.0

%e ...0.4.1.6.1.1....0.5.0.1.1.0....0.1.1.0.5.0....0.1.1.0.5.0....0.4.1.2.5.0

%e ..2.0.0.1.1.0.1..0.0.0.2.3.1.1..1.1.3.2.0.0.0..1.1.3.2.0.0.2..0.0.0.2.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011