A197868 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,4,3,1,1,0,0 for x=0,1,2,3,4,5,6

1, 1, 4, 23, 108, 3747, 135196, 4459381, 755829713, 172047582057

Offset

1,3

Comments

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

Links

Table of n, a(n) for n=1..10.

Example

Some solutions with all values from 0 to 6 for 8X8X8
.........0................0................0................0
........1.0..............0.0..............0.0..............1.1
.......1.4.1............0.6.0............0.6.0............1.4.1
......3.1.0.0..........0.0.0.0..........0.0.0.0..........2.3.0.0
.....2.1.0.6.0........0.5.1.1.0........0.5.0.0.0........3.1.1.5.0
....3.1.4.0.0.0......1.0.0.4.0.1......0.0.1.4.1.1......1.1.4.0.0.0
...1.1.1.1.5.0.0....1.4.1.1.1.1.4....1.4.1.1.1.1.4....4.1.0.1.0.6.0
..1.4.1.0.0.0.0.0..0.0.1.3.2.3.1.1..0.1.1.3.2.3.1.1..1.1.0.0.0.0.0.0

Crossrefs

Sequence in context: A241777 A321614 A082970 * A017973 A306669 A124507

Adjacent sequences: A197865 A197866 A197867 * A197869 A197870 A197871

Keyword

nonn

Author

R. H. Hardin Oct 18 2011

Status

approved