A203222 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,0,0,2,1,1,1 for x=0,1,2,3,4,5,6.

1, 7, 18, 120, 2053, 33224, 1174645, 76951515, 7087224160

Offset: 1

Author

R. H. Hardin Dec 30 2011

Keywords

• nonn

Comments

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

Examples

			Some solutions with all values from 0 to 6 for 7X7X7
........0..............1..............1..............0..............0
.......1.1............1.0............0.1............1.1............2.0
......1.6.1..........1.5.1..........1.5.1..........1.6.1..........1.1.1
.....0.1.1.0........0.1.1.1........1.1.1.0........0.1.1.0........0.1.5.1
....1.1.4.2.1......1.1.4.0.2......1.0.4.1.1......0.2.5.1.1......1.1.4.1.0
...1.5.1.0.3.2....1.6.1.2.3.0....2.3.2.1.6.1....2.3.1.1.4.1....1.6.1.2.3.2
..1.0.1.1.2.0.0..0.1.1.0.2.0.2..0.0.2.0.1.1.0..0.2.0.2.0.0.1..0.1.1.0.0.2.0