A195157 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,3,2,0,1,0,2 for x=0,1,2,3,4,5,6

1, 2, 20, 252, 7403, 421616, 52543529, 13657426873, 7262057176754

Offset

1,2

Comments

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

Links

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

Example

Some solutions with all values 0 to 6 for 8X8X8
.........0................0................0................0
........2.2..............2.2..............0.0..............2.2
.......2.6.2............2.6.2............3.3.1............2.6.2
......0.2.2.0..........0.2.2.0..........0.0.1.4..........0.2.2.0
.....0.5.0.5.0........0.5.0.1.3........0.1.0.1.1........0.5.0.0.3
....1.0.0.0.0.1......0.0.0.0.0.0......2.2.3.0.3.0......0.0.0.1.3.0
...0.3.1.1.3.3.0....0.3.1.1.3.5.0....2.6.2.0.5.0.2....0.5.3.1.1.0.0
..0.0.1.4.1.0.3.0..0.1.1.4.1.0.0.0..0.2.2.0.0.0.2.2..0.0.0.1.4.1.3.0

Crossrefs

Sequence in context: A293471 A109106 A099976 * A207151 A272568 A229727

Adjacent sequences: A195154 A195155 A195156 * A195158 A195159 A195160

Keyword

nonn

Author

R. H. Hardin Oct 17 2011

Status

approved