A203226 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,0,1,1,1,0,0 for x=0,1,2,3,4,5,6

1, 4, 10, 62, 993, 10608, 269018, 11754673, 619558949, 58326979574

Offset

1,2

Comments

Every 0 is next to 0 3's, every 1 is next to 1 0'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
........0..............0..............0..............1..............0
.......0.0............0.0............0.0............2.0............1.1
......0.6.0..........0.0.0..........0.6.0..........1.0.0..........1.4.3
.....0.0.0.0........0.6.0.0........0.0.0.0........3.2.5.0........0.2.1.1
....0.0.0.2.1......0.0.0.2.1......1.2.0.5.0......1.1.0.0.0......0.0.0.2.0
...0.5.2.1.4.1....0.5.2.1.4.1....1.4.1.2.0.0....0.4.2.0.6.0....0.0.6.0.5.0
..0.0.0.1.3.1.0..0.0.0.1.3.1.0..1.0.1.3.1.2.1..1.1.1.0.0.0.0..0.0.0.0.0.0.0

Crossrefs

Sequence in context: A362705 A323870 A298162 * A300642 A146304 A189893

Adjacent sequences: A203223 A203224 A203225 * A203227 A203228 A203229

Keyword

nonn

Author

R. H. Hardin Dec 30 2011

Status

approved