A198002 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,3,1,1,1,0,0 for x=0,1,2,3,4,5,6

1, 1, 19, 70, 948, 34816, 1091162, 119556031, 17650368586

Offset

1,3

Comments

Every 0 is next to 0 2's, every 1 is next to 1 3'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 0's, every 6 is next to 6 0's

Links

Table of n, a(n) for n=1..9.

Example

Some solutions with all values from 0 to 6 for 7X7X7
........1..............2..............2..............2..............1
.......3.1............1.1............1.1............1.1............3.1
......1.4.1..........3.4.3..........3.4.3..........1.3.0..........1.4.1
.....0.1.3.1........1.1.1.1........1.1.1.1........1.0.5.0........0.0.1.3
....1.0.0.0.0......0.0.0.0.0......0.0.0.0.1......3.1.0.0.0......0.5.0.0.1
...1.3.5.0.6.0....0.6.0.5.1.1....0.6.0.5.1.3....1.4.1.0.6.0....1.3.0.6.0.0
..2.1.0.0.0.0.0..0.0.0.0.0.3.1..0.0.0.0.0.0.1..2.1.3.1.0.0.0..2.1.1.0.0.0.0

Crossrefs

Sequence in context: A010007 A172078 A196136 * A093350 A226802 A342737

Adjacent sequences: A197999 A198000 A198001 * A198003 A198004 A198005

Keyword

nonn

Author

R. H. Hardin Oct 20 2011

Status

approved