A205081 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 0,0,1,1,1,1,1 for x=0,1,2,3,4,5,6

1, 3, 6, 70, 1694, 19492, 1373508, 114092895, 11345187570, 4332229490711

Offset

1,2

Comments

Every 0 is next to 0 0'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 1'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 7X7X7
........1..............1..............0..............0..............1
.......0.1............3.0............1.2............2.1............0.1
......2.1.3..........1.1.2..........1.5.1..........1.4.1..........2.1.3
.....0.1.1.0........0.4.1.0........0.1.1.0........0.1.3.0........0.1.1.0
....2.1.6.1.1......1.1.5.1.2......2.1.6.1.1......1.1.4.1.1......1.1.5.1.1
...1.4.1.1.5.2....1.6.1.1.1.0....1.4.1.1.1.3....1.5.3.1.6.1....1.6.1.3.4.1
..0.2.1.0.1.1.0..0.1.1.0.1.3.1..0.1.2.0.2.0.1..0.1.1.0.1.1.0..0.1.1.0.1.2.0

Crossrefs

Sequence in context: A069502 A296374 A362822 * A282175 A182966 A023174

Adjacent sequences: A205078 A205079 A205080 * A205082 A205083 A205084

Keyword

nonn

Author

R. H. Hardin Jan 21 2012

Status

approved