A203221 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,1,3,1,0,0,0 for x=0,1,2,3,4,5,6

1, 4, 13, 192, 3348, 138856, 12107039, 1984499004, 706287228121, 496787163840091

Offset

1,2

Comments

Every 0 is next to 0 2's, every 1 is next to 1 1's, every 2 is next to 2 3'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 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..............0..............0..............1..............0
.......1.1............1.1............0.4............1.3............1.1
......3.3.2..........0.3.2..........0.0.0..........2.3.1..........0.3.2
.....1.1.3.1........1.1.3.1........0.6.0.1........1.3.1.0........1.1.3.1
....0.0.0.1.0......0.0.0.1.0......0.0.0.1.0......0.1.0.0.0......0.0.0.1.0
...0.0.6.0.5.0....0.6.0.0.5.0....0.5.1.3.3.1....0.5.0.6.0.0....0.0.6.0.5.0
..0.4.0.0.0.0.0..0.0.0.4.0.0.0..0.0.0.1.2.1.0..0.0.0.0.0.4.0..0.4.0.0.0.0.0

Crossrefs

Sequence in context: A042537 A220038 A132512 * A284700 A050629 A348140

Adjacent sequences: A203218 A203219 A203220 * A203222 A203223 A203224

Keyword

nonn

Author

R. H. Hardin Dec 30 2011

Status

approved