A181624 Decimal expansion of 486^(1/3).

7, 8, 6, 2, 2, 2, 4, 1, 8, 2, 6, 2, 6, 6, 8, 9, 8, 2, 1, 4, 2, 4, 9, 8, 3, 8, 4, 1, 3, 2, 5, 9, 8, 8, 8, 1, 0, 7, 1, 8, 2, 8, 2, 9, 3, 7, 1, 7, 0, 8, 9, 5, 1, 7, 5, 3, 0, 8, 3, 2, 1, 4, 1, 7, 1, 8, 6, 0, 9, 9, 4, 5, 7, 5, 8, 8, 1, 2, 6, 3, 2, 6, 4, 8, 5, 3, 6, 7, 4, 7, 7, 9, 6, 7, 2, 2, 0, 7, 9, 3

Offset

1,1

Comments

The cube root of 486 arises in Bezdek's proof on contact numbers for congruent sphere packings.

References

C. A. Rogers, Packing and Covering, Camb. Univ. Press, 1964.

Links

Table of n, a(n) for n=1..100.

K. Bezdek, On a stronger form of Rogers' lemma and the minimum surface area of Voronoi cells in unit ball packings, J. reine angew. Math. 518 (2000), 131-143.

K. Bezdek, On the maximum number of touching pairs in a finite packing of translates of a convex body, J. Combin. Theory Ser. A 98/1 (2002), 192-200.

Karoly Bezdek, Contact numbers for congruent sphere packings, arXiv:1102.1198 [math.MG], 2011.

H. Harborth, Losung zu Problem 664A, Elem. Math. 29 (1974), 14-15.

G. A. Kabatiansky and V. I. Levenshtein, Bounds for packings on a sphere and in space, Problemy Peredachi Informatsii 14 (1978), 3-25.

G. Kuperberg and O. Schramm, Average kissing numbers for noncongruent sphere packings, Math. Res. Lett. 1/3 (1994), 339-344.

Example

7.86222418262668982142498384132598881...

Mathematica

RealDigits[Surd[486, 3], 10, 120][[1]] (* Harvey P. Dale, Jul 06 2017 *)

Prog

(PARI) sqrtn(486, 3) \\ Charles R Greathouse IV, Apr 25 2016

Crossrefs

Sequence in context: A262898 A004496 A197762 * A277683 A143300 A303985

Adjacent sequences: A181621 A181622 A181623 * A181625 A181626 A181627

Keyword

nonn,easy,cons

Author

Jonathan Vos Post, Feb 08 2011

Status

approved