A197902 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,0,1,4,1,0,1 for x=0,1,2,3,4,5,6

1, 4, 10, 54, 453, 2632, 38088, 648219, 13492068, 444723130

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 1's, every 3 is next to 3 4'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..10.

Example

Some solutions with all values from 0 to 6 for 8X8X8
.........0................0................0................0
........1.1..............1.1..............0.0..............0.0
.......1.6.1............1.6.1............0.2.1............0.5.0
......0.1.1.0..........0.1.1.0..........1.1.4.1..........0.0.2.1
.....1.1.4.2.0........0.2.4.1.1........1.4.3.1.0........0.2.1.4.1
....1.4.3.1.0.0......0.0.1.3.4.1......0.2.1.4.1.1......1.1.4.3.1.0
...0.2.1.4.2.5.0....0.5.2.4.1.2.0....0.5.0.2.1.6.1....1.6.1.1.4.2.0
..0.0.0.1.1.0.0.0..0.0.0.1.1.0.0.0..0.0.0.0.0.1.1.0..0.1.1.0.1.1.0.0

Crossrefs

Sequence in context: A018844 A007027 A192444 * A276123 A096423 A276130

Adjacent sequences: A197899 A197900 A197901 * A197903 A197904 A197905

Keyword

nonn

Author

R. H. Hardin Oct 19 2011

Status

approved