A203211 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,2,0,1,0,0,0 for x=0,1,2,3,4,5,6

1, 4, 39, 454, 13706, 783226, 88598695, 20067022861, 8688856828658

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 0'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..9.

Example

Some solutions with all values from 0 to 6 for 7X7X7
........0..............0..............0..............0..............1
.......0.0............2.1............2.1............1.2............2.0
......0.0.4..........2.0.0..........0.1.3..........3.1.0..........1.0.1
.....0.6.0.0........1.0.5.2........2.1.1.2........2.1.0.4........0.4.2.3
....0.0.0.5.0......3.1.0.0.1......0.1.0.0.0......0.0.5.0.0......0.0.0.1.1
...1.2.1.1.0.0....1.2.0.6.0.0....0.0.5.0.6.0....0.6.0.0.5.0....0.6.0.5.0.2
..0.1.1.3.2.0.2..0.0.1.0.0.4.0..0.4.0.0.0.0.0..0.0.0.0.0.2.1..0.0.0.0.0.1.0

Crossrefs

Sequence in context: A123618 A199757 A046449 * A214823 A275517 A300187

Adjacent sequences: A203208 A203209 A203210 * A203212 A203213 A203214

Keyword

nonn

Author

R. H. Hardin Dec 30 2011

Status

approved