A205082 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 1,3,2,1,2,0,0 for x=0,1,2,3,4,5,6

1, 2, 5, 12, 103, 1026, 16225, 423136, 19330620, 1431173789

Offset

1,2

Comments

Every 0 is next to 0 1's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 2'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 7X7X7
........0..............1..............0..............0..............0
.......0.0............3.1............0.0............0.0............0.0
......0.6.0..........1.2.2..........0.0.2..........0.6.0..........2.0.0
.....0.0.0.0........2.4.2.0........0.5.2.2........0.0.0.0........2.2.5.0
....2.2.0.5.0......2.2.0.0.0......0.0.0.4.1......0.5.0.2.2......1.4.0.0.0
...1.2.4.2.0.0....0.0.5.0.6.0....0.6.0.2.2.3....0.0.2.4.2.1....3.2.2.0.6.0
..1.3.1.2.2.0.0..0.0.0.0.0.0.0..0.0.0.0.2.1.1..0.0.2.2.1.3.1..1.1.2.0.0.0.0

Crossrefs

Sequence in context: A145857 A264863 A197706 * A060807 A041095 A041333

Adjacent sequences: A205079 A205080 A205081 * A205083 A205084 A205085

Keyword

nonn

Author

R. H. Hardin Jan 21 2012

Status

approved