A203210 - OEIS

%I #4 Mar 31 2012 12:36:55

%S 1,1,7,44,126,6810,289788,7104040,1498118546,369128120568

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

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

%e .......1.1............1.4............1.1............1.1............0.0

%e ......1.4.1..........0.1.1..........1.4.0..........1.4.1..........0.0.0

%e .....3.0.0.0........0.0.0.3........3.1.0.0........0.0.0.3........0.0.6.0

%e ....1.1.5.0.0......0.0.5.1.1......1.0.5.0.0......0.0.5.1.1......0.5.0.0.0

%e ...1.4.0.0.6.0....0.6.0.0.4.1....1.4.0.0.6.0....0.6.0.0.4.1....1.1.0.1.4.1

%e ..0.0.1.0.0.0.0..0.0.0.0.0.1.2..2.1.1.0.0.0.0..0.0.0.0.1.0.0..1.4.1.3.1.1.2

%K nonn

%O 1,3

%A _R. H. Hardin_ Dec 30 2011