A084825 Maximum number of spheres of diameter one that can be packed in a cube of edge length n.

1, 8, 27, 66

Offset

1,2

Comments

The next term a(4) is at least 64. From an extrapolation of Dave Boll's numerical results a(4)~=66 and a(5)~=141 are estimated values for the next terms.

Links

Table of n, a(n) for n=1..4.

Dave Boll, Optimal Packing of Circles and Spheres

Hugo Pfoertner, Densest Packings of Equal Spheres in a Cube

Example

a(3)=27 because there is no known better arrangement than the 3*3*3 cubic one that would allow packing more than 27 spheres into a cube of edge length 3.

Crossrefs

Cf. A084824, A084828, A084617.

Sequence in context: A030293 A030479 A061096 * A270806 A246992 A351601

Adjacent sequences: A084822 A084823 A084824 * A084826 A084827 A084828

Keyword

hard,more,nonn

Author

Hugo Pfoertner, Jun 12 2003

Extensions

a(4) from Hugo Pfoertner, May 21 2011

Replaced dead link to Dave Boll's web page and added link to visualization web page by Hugo Pfoertner, May 21 2011

Status

approved