A164744 Number of nXnXn triangular 1..3 arrays with all 1s connected, all 2s connected, all 3s connected, 1 at the top vertex, 2 at the lower left, and 3 at the lower right

1, 17, 174, 2084, 35489, 950448, 42560032

Offset

2,2

Links

Table of n, a(n) for n=2..8.

Example

All solutions for n=3
.....1........1........1........1........1........1........1........1...
....2.1......1.1......2.3......1.3......2.1......1.1......2.3......1.3..
...2.2.3....2.2.3....2.2.3....2.2.3....2.3.3....2.3.3....2.3.3....2.3.3.
------
.....1........1........1........1........1........1........1........1...
....2.2......2.2......1.1......1.3......2.1......3.3......3.3......1.2..
...2.2.3....2.3.3....2.1.3....2.1.3....2.1.3....2.2.3....2.3.3....2.2.3.
------
.....1...
....3.1..
...2.3.3.

Crossrefs

Sequence in context: A299331 A173647 A119343 * A228214 A246058 A121793

Adjacent sequences: A164741 A164742 A164743 * A164745 A164746 A164747

Keyword

nonn

Author

R. H. Hardin Aug 24 2009

Status

approved