A203219 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,2,1,1,0,1,0 for x=0,1,2,3,4,5,6

1, 4, 25, 209, 6570, 247394, 22594350, 4188338350, 1447419327947

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 1'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
........2..............0..............0..............0..............0
.......1.1............2.1............2.1............4.0............1.2
......0.0.0..........1.5.1..........1.5.1..........0.0.0..........1.5.1
.....0.0.2.1........3.1.1.2........3.1.1.2........0.0.2.1........2.1.1.3
....0.6.0.1.3......1.2.0.0.0......1.2.0.0.0......0.6.0.1.3......0.0.0.2.1
...0.0.0.1.5.1....1.0.0.6.0.4....0.0.0.6.0.4....2.0.0.1.5.1....1.0.6.0.0.0
..0.4.0.2.1.1.2..1.2.0.0.0.0.0..0.0.4.0.0.0.0..1.1.0.2.1.1.2..1.2.0.0.4.0.0

Crossrefs

Sequence in context: A005411 A105628 A332257 * A064299 A261898 A038174

Adjacent sequences: A203216 A203217 A203218 * A203220 A203221 A203222

Keyword

nonn

Author

R. H. Hardin Dec 30 2011

Status

approved