A198041 Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,0,2,0,1,0,1 for x=0,1,2,3,4,5,6.

1, 5, 23, 190, 3032, 91604, 4639102, 420891042, 69477009170

Offset

1,2

Comments

Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 0's, every 4 is next to 4 1's, every 5 is next to 5 0's, every 6 is next to 6 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
.......1.1............0.0............1.1............1.1............1.1
......2.4.1..........0.5.0..........1.6.1..........1.4.2..........1.4.1
.....2.2.1.0........0.0.3.0........0.1.1.0........0.1.2.2........0.2.2.0
....0.0.1.1.1......1.2.2.1.1......1.2.2.3.0......1.1.1.0.0......0.0.2.1.1
...0.5.3.1.6.1....1.4.2.1.6.1....1.4.2.0.5.0....1.6.1.3.5.0....0.5.3.1.6.1
..0.0.0.0.1.1.0..0.1.1.0.1.1.0..0.1.1.0.0.0.0..0.1.1.0.0.0.0..0.0.0.0.1.1.0

Crossrefs

Sequence in context: A203119 A203214 A197965 * A197922 A226154 A203223

Adjacent sequences: A198038 A198039 A198040 * A198042 A198043 A198044

Keyword

nonn

Author

R. H. Hardin, Oct 20 2011

Status

approved