A271406 Number of nXnXn triangular 0..7 arrays with new values introduced in sequential zero-upwards order and exactly one inverted 2x2x2 triangle having values all equal.

0, 0, 15, 11247, 144602898, 34755893906751, 91608343580208540348, 1934213218888199972768791470, 309708109612351278656208179310639771, 376951205037184664653857886991084818378381176

Offset

1,3

Comments

Column 7 of A271407.

Links

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

Example

Some solutions for n=4
.....0........0........0........0........0........0........0........0
....1.1......1.1......1.1......1.0......1.0......1.1......1.2......1.1
...0.1.2....2.2.3....0.1.1....1.1.2....2.1.1....2.1.0....3.3.3....2.2.2
..3.3.2.2..0.2.2.2..2.1.3.2..1.1.0.0..2.1.1.1..3.3.2.3..1.3.2.2..2.1.2.3

Crossrefs

Cf. A271407.

Sequence in context: A206513 A271404 A271405 * A384499 A208299 A282945

Adjacent sequences: A271403 A271404 A271405 * A271407 A271408 A271409

Keyword

nonn

Author

R. H. Hardin, Apr 06 2016

Status

approved