A198159 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,1,3,1,0,0,0 for x=0,1,2,3,4,5,6

1, 4, 13, 134, 2506, 81923, 5913801, 836958994, 235327275156, 133415063651713, 151040737730161989

Offset

1,2

Comments

Every 0 is next to 0 3's, every 1 is next to 1 1's, every 2 is next to 2 3's, every 3 is next to 3 1'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..11.

Example

Some solutions with all values from 0 to 6 for 7X7X7
........0..............1..............0..............0..............1
.......0.0............1.0............4.0............0.0............1.0
......0.6.0..........0.0.0..........0.0.0..........0.6.0..........0.4.0
.....1.0.0.4........4.0.0.1........0.6.0.1........4.0.0.1........1.0.5.0
....3.1.5.0.0......0.0.5.0.1......0.0.0.1.3......0.0.0.1.3......1.0.0.0.0
...1.2.0.0.0.0....0.6.0.1.2.3....4.0.5.0.2.1....0.5.4.0.2.1....3.2.1.0.6.0
..1.3.1.1.0.0.0..0.0.0.1.3.1.1..0.0.0.1.1.3.1..0.0.0.1.1.3.1..1.1.3.1.0.0.0

Crossrefs

Sequence in context: A006104 A067634 A203215 * A322659 A042537 A220038

Adjacent sequences: A198156 A198157 A198158 * A198160 A198161 A198162

Keyword

nonn

Author

R. H. Hardin Oct 21 2011

Status

approved