A203202 Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,3,0,1,0,1,0 for x=0,1,2,3,4,5,6.

1, 4, 27, 333, 8543, 515425, 61995144, 14944322148, 7917933408831

Offset

1,2

Comments

Every 0 is next to 0 5's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 0's, every 5 is next to 5 1'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 7X7X7
........0..............1..............2..............1..............1
.......0.0............3.1............0.0............1.3............1.3
......1.0.4..........1.5.1..........4.0.1..........1.5.1..........1.5.1
.....1.3.0.0........1.1.1.3........0.0.3.1........3.1.1.1........3.1.1.1
....1.1.0.6.0......0.3.0.0.1......0.6.0.1.1......1.0.0.3.0......1.0.0.3.0
...3.5.1.0.0.0....0.1.0.6.0.0....4.0.0.1.5.3....0.0.6.0.1.0....0.0.6.0.1.2
..1.1.1.3.1.0.2..0.2.2.0.0.4.0..0.0.1.3.1.1.1..0.4.0.0.0.0.2..0.4.0.0.0.2.0

Crossrefs

Sequence in context: A159599 A221411 A304654 * A320961 A239726 A058155

Adjacent sequences: A203199 A203200 A203201 * A203203 A203204 A203205

Keyword

nonn

Author

R. H. Hardin, Dec 30 2011

Status

approved