A203216 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,3,2,1,0,1,2 for x=0,1,2,3,4,5,6

1, 2, 20, 145, 3738, 159746, 13220858, 2414169949, 858834945528

Offset

1,2

Comments

Every 0 is next to 0 6'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 0's, every 5 is next to 5 1's, every 6 is next to 6 2'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..............1..............0..............0
.......0.0............1.3............3.1............0.4............4.0
......2.2.1..........1.5.1..........1.5.1..........1.0.0..........0.0.1
.....2.6.2.3........3.1.1.1........1.1.1.3........1.3.2.2........2.2.3.1
....0.2.2.1.1......1.2.2.3.1......1.3.2.2.1......1.1.2.6.2......2.6.2.1.1
...4.0.3.1.5.1....0.2.6.2.0.0....0.0.2.6.2.0....3.5.1.2.2.0....0.2.2.1.5.3
..0.0.1.1.1.3.1..0.0.2.2.0.4.0..0.4.0.2.2.0.0..1.1.1.3.1.0.0..0.0.1.3.1.1.1

Crossrefs

Sequence in context: A003481 A000183 A198052 * A198647 A081159 A105489

Adjacent sequences: A203213 A203214 A203215 * A203217 A203218 A203219

Keyword

nonn

Author

R. H. Hardin Dec 30 2011

Status

approved