A198052 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,3,2,1,0,0,1 for x=0,1,2,3,4,5,6

1, 2, 20, 144, 3897, 177020, 16432206, 3384968739, 1417057661680

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 0's, every 6 is next to 6 1'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
.......2.2............0.0............0.0............0.0............3.1
......0.1.3..........0.5.0..........0.5.0..........0.5.0..........1.1.0
.....4.0.1.1........1.3.0.4........1.3.0.4........4.0.3.1........1.6.1.1
....0.0.1.6.1......0.1.1.0.0......0.1.1.0.0......0.0.1.1.0......3.1.1.3.0
...0.5.3.1.1.3....0.1.6.1.1.2....1.1.6.1.1.2....2.1.1.6.1.0....2.1.0.0.5.0
..0.0.0.1.0.1.0..1.3.1.1.3.2.2..0.3.1.1.3.2.2..2.2.3.1.1.3.1..2.2.0.4.0.0.0

Crossrefs

Sequence in context: A081006 A003481 A000183 * A203216 A198647 A081159

Adjacent sequences: A198049 A198050 A198051 * A198053 A198054 A198055

Keyword

nonn

Author

R. H. Hardin Oct 20 2011

Status

approved