A271190 Number of nXnXn triangular 0..4 arrays with new values introduced in sequential zero-upwards order and exactly one upright 2x2x2 triangle having values all different.

0, 1, 72, 10716, 4023409, 3973372776, 10282778195346, 69615227852939489, 1237061064284160182778, 57993308799736991495547414

Offset

1,3

Comments

Column 4 of A271194.

Links

Table of n, a(n) for n=1..10.

Example

Some solutions for n=4
.....0........0........0........0........0........0........0........0
....1.0......1.0......1.1......1.1......1.2......1.2......1.0......1.2
...1.1.0....2.1.2....2.3.1....0.2.1....1.3.2....3.1.1....2.1.0....1.2.3
..2.1.3.2..1.2.2.0..2.0.3.1..0.3.2.2..4.4.3.2..3.3.1.1..1.2.2.1..0.0.2.2

Crossrefs

Cf. A271194.

Sequence in context: A105347 A093236 A146500 * A271191 A271192 A271193

Adjacent sequences: A271187 A271188 A271189 * A271191 A271192 A271193

Keyword

nonn

Author

R. H. Hardin, Apr 01 2016

Status

approved