A197963 Number of n X n X n 0..6 triangular arrays with each element x equal to the number of its neighbors equal to 6,0,1,0,0,0,1 for x=0,1,2,3,4,5,6.

1, 4, 22, 216, 4565, 170743, 11661907, 1488001671, 356058730204

Offset

1,2

Comments

Every 0 is next to zero 6's, every 1 is next to one 0, every 2 is next to two 1's, every 3 is next to three 0's, every 4 is next to four 0's, every 5 is next to five 0's, every 6 is next to six 1'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:
........0..............0..............0..............0..............0
.......0.0............0.0............0.0............0.4............0.0
......0.5.0..........3.0.0..........0.4.0..........0.0.0..........0.4.0
.....0.2.0.0........0.2.4.0........0.3.1.1........0.0.4.0........0.3.2.0
....1.1.1.4.0......1.1.1.0.0......0.0.1.6.1......0.0.2.1.1......0.0.1.1.1
...1.6.1.2.0.3....1.6.1.3.5.0....0.5.2.1.1.0....0.5.3.1.6.1....0.5.3.1.6.1
..0.1.1.0.0.3.0..0.1.1.0.0.0.0..0.0.0.0.1.1.1..0.0.0.0.1.1.0..0.0.0.0.1.1.0

Crossrefs

Sequence in context: A120482 A207156 A197999 * A260296 A302769 A137158

Adjacent sequences: A197960 A197961 A197962 * A197964 A197965 A197966

Keyword

nonn,more

Author

R. H. Hardin, Oct 19 2011

Status

approved