A205077 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,3,1,2,0,0,0 for x=0,1,2,3,4,5,6

1, 1, 4, 21, 134, 2338, 56701, 2696502, 216819242, 30810645304

Offset

1,3

Comments

Every 0 is next to 0 3's, every 1 is next to 1 3's, every 2 is next to 2 1's, every 3 is next to 3 2's, every 4 is next to 4 0'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..10.

Example

Some solutions with all values from 0 to 6 for 7X7X7
........0..............0..............0..............0..............0
.......4.0............1.2............0.0............2.1............1.2
......0.0.0..........2.3.1..........0.0.0..........1.3.2..........2.3.1
.....0.6.0.0........0.1.2.0........0.5.0.0........0.2.1.0........0.1.2.0
....4.0.0.1.2......0.5.0.0.4......2.1.0.6.0......0.0.0.5.0......4.0.0.5.0
...0.0.5.2.3.1....0.0.0.6.0.0....1.3.2.0.0.4....0.0.6.0.0.0....0.0.6.0.0.0
..0.0.0.0.1.2.0..0.0.4.0.0.0.0..0.2.1.0.0.0.0..0.0.0.0.0.4.0..0.4.0.0.4.0.0

Crossrefs

Sequence in context: A306335 A195440 A001909 * A292928 A367047 A209881

Adjacent sequences: A205074 A205075 A205076 * A205078 A205079 A205080

Keyword

nonn

Author

R. H. Hardin Jan 21 2012

Status

approved