login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A257555 Number of distinct ways to dissect a cube into n rectangular boxes of equal volume, up to reflection and rotation. 1
1, 1, 2, 8, 35, 198 (list; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 11 16:48 EDT 2021. Contains 343805 sequences. (Running on oeis4.)