A203210 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,4,1,1,1,0,0 for x=0,1,2,3,4,5,6

1, 1, 7, 44, 126, 6810, 289788, 7104040, 1498118546, 369128120568

Offset

1,3

Comments

Every 0 is next to 0 2's, every 1 is next to 1 4's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 1'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
........2..............1..............0..............2..............0
.......1.1............1.4............1.1............1.1............0.0
......1.4.1..........0.1.1..........1.4.0..........1.4.1..........0.0.0
.....3.0.0.0........0.0.0.3........3.1.0.0........0.0.0.3........0.0.6.0
....1.1.5.0.0......0.0.5.1.1......1.0.5.0.0......0.0.5.1.1......0.5.0.0.0
...1.4.0.0.6.0....0.6.0.0.4.1....1.4.0.0.6.0....0.6.0.0.4.1....1.1.0.1.4.1
..0.0.1.0.0.0.0..0.0.0.0.0.1.2..2.1.1.0.0.0.0..0.0.0.0.1.0.0..1.4.1.3.1.1.2

Crossrefs

Sequence in context: A165210 A162454 A378165 * A323923 A026116 A216237

Adjacent sequences: A203207 A203208 A203209 * A203211 A203212 A203213

Keyword

nonn

Author

R. H. Hardin Dec 30 2011

Status

approved