A207150 Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,1,0,1,1,0,0 for x=0,1,2,3,4,5,6.

1, 7, 33, 396, 8882, 319895, 21619033, 2684442127, 597964964842

Offset

1,2

Comments

Every 0 is next to 0 3's, every 1 is next to 1 1's, every 2 is next to 2 0'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..9.

Example

Some solutions with all values from 0 to 6 for 7 X 7 X 7
........1..............1..............2..............0..............0
.......1.3............3.1............0.0............0.0............0.1
......0.2.1..........1.2.0..........0.6.0..........0.6.0..........0.0.1
.....0.5.0.1........1.0.5.0........1.0.0.0........1.0.0.0........0.5.2.3
....1.0.0.0.0......0.0.0.0.1......1.0.5.1.1......1.0.0.1.1......0.0.0.1.1
...1.4.1.0.6.0....0.6.0.1.4.1....3.2.0.0.4.0....3.2.5.0.4.0....0.6.0.2.4.0
..0.0.1.2.0.0.0..0.0.0.2.1.0.0..1.1.2.0.1.1.0..1.1.0.0.1.1.0..2.0.0.2.1.1.0

Crossrefs

Sequence in context: A215125 A204706 A197995 * A197565 A202762 A202757

Adjacent sequences: A207147 A207148 A207149 * A207151 A207152 A207153

Keyword

nonn

Author

R. H. Hardin, Feb 15 2012

Status

approved