A197763 - OEIS

%I #4 Mar 31 2012 12:36:30

%S 1,1,7,75,763,18910,792004,61120305,8542334163,2135804958700,

%T 966978394573292

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

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

%e Some solutions with all values from 0 to 6 for 6X6X6

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

%e ......0.0..........1.1..........0.0..........0.0..........1.1..........0.3

%e .....0.6.0........1.5.1........0.4.3........0.6.0........1.5.1........0.4.0

%e ....0.0.0.1......0.0.1.0......1.1.0.0......0.0.0.1......0.1.0.0......1.1.0.0

%e ...0.4.1.5.1....0.6.0.4.0....1.5.0.6.0....3.4.1.5.1....3.4.0.6.0....1.5.0.6.0

%e ..0.3.0.1.1.2..0.0.0.3.0.0..2.1.1.0.0.0..0.0.0.1.1.2..0.0.0.0.0.0..2.1.1.0.0.0

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 17 2011