A197866 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,2,0,0,2,0,1 for x=0,1,2,3,4,5,6

1, 4, 42, 793, 32276, 2592379, 423445648, 145596625120, 102532694528027

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..9.

Example

Some solutions with all values from 0 to 6 for 8X8X8
.........0................0................0................0
........0.3..............3.0..............2.0..............2.0
.......0.0.2............0.3.0............1.1.0............1.1.0
......2.0.5.0..........0.2.2.0..........1.6.1.0..........1.6.1.0
.....1.1.0.0.2........3.2.4.2.0........2.1.1.2.0........2.1.1.2.0
....1.6.1.0.2.4......0.0.1.1.1.0......0.0.1.4.2.1......0.0.1.4.2.1
...2.1.1.2.3.2.2....3.5.0.1.6.1.0....0.5.3.2.2.0.1....0.5.0.2.2.0.0
..0.0.0.1.0.0.0.0..0.0.0.2.1.1.2.0..2.0.0.0.0.2.2.0..2.0.3.0.2.0.0.0

Crossrefs

Sequence in context: A221096 A179499 A268567 * A197948 A196194 A197323

Adjacent sequences: A197863 A197864 A197865 * A197867 A197868 A197869

Keyword

nonn

Author

R. H. Hardin Oct 18 2011

Status

approved