A257555 Number of distinct ways to dissect a cube into n rectangular boxes of equal volume, up to reflection and rotation.

1, 1, 2, 8, 35, 198

Offset

1,3

Comments

The boxes may have different shapes, as long as they all have the same volume and right angle corners.

Links

Table of n, a(n) for n=1..6.

Johan Nilsson, Illustrations for terms up to a(5).

Example

There are eight ways to dissect a cube into four boxes of equal volume, so a(4)=8.

Crossrefs

Cf. A108066 is a 2D version of the dissection count.

Sequence in context: A030972 A213227 A020009 * A007508 A122674 A203762

Adjacent sequences: A257552 A257553 A257554 * A257556 A257557 A257558

Keyword

nonn,hard,more

Author

Johan Nilsson, Apr 29 2015

Status

approved