A271189 Number of nXnXn triangular 0..3 arrays with new values introduced in sequential zero-upwards order and exactly one upright 2x2x2 triangle having values all different.

0, 1, 72, 9168, 2507552, 1585190304, 2396160624384, 8827783282714112, 80206114652132017152, 1811240213474630551305216, 102217269778272804094166401024

Offset

1,3

Comments

Column 3 of A271194.

Links

Table of n, a(n) for n=1..11.

Example

Some solutions for n=4
.....0........0........0........0........0........0........0........0
....0.0......0.1......1.2......1.0......0.0......1.2......1.0......0.1
...0.0.0....2.3.3....1.2.1....2.3.0....1.0.2....1.2.0....2.1.2....1.0.2
..1.2.2.2..2.2.3.2..0.1.1.2..2.3.2.0..1.2.3.3..2.2.0.1..1.2.1.2..3.1.0.0

Crossrefs

Cf. A271194.

Sequence in context: A119750 A283093 A178635 * A093272 A105347 A093236

Adjacent sequences: A271186 A271187 A271188 * A271190 A271191 A271192

Keyword

nonn

Author

R. H. Hardin, Apr 01 2016

Status

approved