A198058 - OEIS

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

%S 1,4,25,239,9456,423328,55900189,15136412831,8243506243585

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

%C Every 0 is next to 0 6's, every 1 is next to 1 2's, every 2 is next to 2 1'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 ........0..............2..............2..............2..............2

%e .......0.0............1.1............1.1............1.1............1.1

%e ......0.1.2..........1.6.1..........1.6.1..........1.6.1..........1.6.1

%e .....2.3.1.0........2.1.1.2........2.1.1.2........2.1.1.2........2.1.1.2

%e ....1.1.0.5.0......0.3.0.0.0......0.0.3.0.0......0.3.1.0.0......0.0.3.0.0

%e ...1.6.1.0.0.0....0.1.1.5.0.0....4.0.1.2.5.0....0.4.1.2.5.0....0.5.0.1.0.4

%e ..2.1.1.2.0.4.0..0.0.2.0.0.4.0..0.0.0.1.0.0.0..0.0.0.0.0.0.0..0.0.1.2.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011