A271138 Number of nXnXn triangular 0..3 arrays with new values introduced in sequential zero-upwards order and exactly one 2x2x2 triangle having values all different.

0, 1, 56, 4560, 625280, 158875520, 78509767680, 77552409009664, 155738737883810688, 642865213102166747136, 5496169383763345236125056

Offset

1,3

Comments

Column 3 of A271141.

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......1.2......0.0......1.2......1.2
...0.1.0....2.1.0....1.2.2....0.1.1....2.2.1....1.1.2....1.2.3....0.1.2
..2.2.1.0..1.2.1.1..2.2.3.2..2.1.1.0..2.2.1.3..2.2.2.1..2.2.2.2..2.0.1.1

Crossrefs

Cf. A271141.

Sequence in context: A220108 A003747 A049033 * A271139 A271140 A278324

Adjacent sequences: A271135 A271136 A271137 * A271139 A271140 A271141

Keyword

nonn

Author

R. H. Hardin, Mar 31 2016

Status

approved