A197874 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,2,2,4,2,2,0 for x=0,1,2,3,4,5,6

1, 2, 14, 75, 395, 7824, 301091, 11257797, 652574674, 84965445327, 18374481313916

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..11.

Example

Some solutions with all values from 0 to 6 for 8X8X8
.........2................0................0................0
........2.2..............1.0..............1.0..............0.1
.......0.0.1............0.2.2............0.2.2............2.2.0
......0.6.0.0..........1.2.5.2..........1.2.5.2..........2.5.2.1
.....0.0.0.2.2........0.0.2.4.2........0.0.2.4.2........2.4.2.0.0
....2.2.2.2.4.2......0.6.0.2.3.2......0.6.0.2.3.2......2.3.2.0.6.0
...2.5.4.4.3.4.2....0.0.0.2.4.4.2....2.0.0.2.4.4.2....2.4.4.2.0.0.2
..0.2.2.2.2.2.2.0..0.0.0.0.2.2.2.0..2.2.0.0.2.2.2.0..0.2.2.2.0.0.2.2

Crossrefs

Sequence in context: A119913 A296983 A304049 * A104871 A172060 A277297

Adjacent sequences: A197871 A197872 A197873 * A197875 A197876 A197877

Keyword

nonn

Author

R. H. Hardin Oct 18 2011

Status

approved