login
Number of distinct ways to dissect a cube into n rectangular boxes of equal volume, up to reflection and rotation.
1

%I #16 May 13 2015 11:53:09

%S 1,1,2,8,35,198

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

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

%H Johan Nilsson, <a href="/A257555/a257555.pdf">Illustrations for terms up to a(5)</a>.

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

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

%K nonn,hard,more

%O 1,3

%A _Johan Nilsson_, Apr 29 2015