A203198 Number of n X n X n 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,0,2,0,0,0,1 for x=0,1,2,3,4,5,6.

1, 5, 26, 273, 6471, 310314, 28982276, 5533436740, 2118285935865, 1626014944250437

Offset

1,2

Comments

Every 0 is next to 0 6'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 0'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..10.

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............1.1............0.0
......0.5.0..........0.4.0..........0.5.0..........1.6.1..........0.5.0
.....0.3.0.2........0.2.2.3........2.0.3.0........0.1.1.0........0.0.3.0
....1.1.1.2.2......1.1.2.0.0......2.2.1.1.1......0.2.2.3.0......0.2.2.1.1
...1.6.1.3.0.0....1.6.1.3.5.0....0.0.3.1.6.1....0.4.2.0.5.0....0.0.2.1.6.1
..0.1.1.0.0.4.0..0.1.1.0.0.0.0..0.4.0.0.1.1.0..0.0.0.3.0.0.0..0.4.0.0.1.1.0

Crossrefs

Sequence in context: A198042 A198157 A048690 * A197784 A279738 A106296

Adjacent sequences: A203195 A203196 A203197 * A203199 A203200 A203201

Keyword

nonn

Author

R. H. Hardin, Dec 30 2011

Status

approved