A197857 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,1,2,2,3,2,0 for x=0,1,2,3,4,5,6.

1, 5, 20, 176, 3305, 105716, 6566238, 830613754, 204947432021

Offset

1,2

Comments

Every 0 is next to 0 4's, every 1 is next to 1 1's, every 2 is next to 2 2's, every 3 is next to 3 2's, every 4 is next to 4 3'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..9.

Example

Some solutions with all values from 0 to 6 for 8X8X8
.........0................0................0................0
........2.2..............0.0..............0.0..............2.2
.......2.0.2............0.6.0............0.6.0............2.5.2
......2.3.2.1..........1.0.0.1..........1.0.0.0..........3.2.3.2
.....2.4.3.2.1........1.2.2.2.1........1.2.2.2.3........0.2.3.4.2
....2.3.3.2.0.0......2.2.3.3.2.2......2.2.3.3.2.2......0.0.2.3.3.2
...2.5.2.2.0.6.0....2.5.3.4.3.5.2....2.5.3.4.3.0.2....0.6.0.2.2.5.2
..0.2.2.1.1.0.0.0..0.2.2.2.2.2.2.0..0.2.2.2.2.2.2.0..0.0.0.1.1.2.2.0

Crossrefs

Sequence in context: A354848 A318433 A205338 * A197741 A189317 A203902

Adjacent sequences: A197854 A197855 A197856 * A197858 A197859 A197860

Keyword

nonn

Author

R. H. Hardin, Oct 18 2011

Status

approved