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

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 A372227 A246992

Adjacent sequences: A084822 A084823 A084824 * A084826 A084827 A084828

Keyword

hard,more,nonn,changed

Author

Hugo Pfoertner, Jun 12 2003

Extensions

a(4) from Hugo Pfoertner, May 21 2011

Status

approved