A222071 Decimal expansion of (1/105)*Pi^3.

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

Offset

0,1

Comments

Conjectured to be density of densest packing of equal spheres in 7 dimensions (achieved for example by the E_7 lattice).

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer, 3rd. ed., 1998. See p. xix.

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 8.7, p. 507.

Links

Table of n, a(n) for n=0..97.

J. H. Conway and N. J. A. Sloane, What are all the best sphere packings in low dimensions?, Discr. Comp. Geom., 13 (1995), 383-403.

G. Nebe and N. J. A. Sloane, Home page for E_7 lattice.

N. J. A. Sloane and Andrey Zabolotskiy, Table of maximal density of a packing of equal spheres in n-dimensional Euclidean space (some values are only conjectural).

Index entries for transcendental numbers.

Example

0.295297873145712573099774429210489478116431319675...

Mathematica

RealDigits[Pi^3/105, 10, 120][[1]] (* Amiram Eldar, Jun 28 2023 *)

Prog

(PARI) Pi^3/105 \\ Charles R Greathouse IV, Oct 31 2014

Crossrefs

Related constants: A020769, A020789, A093766, A093825, A222066, A222067, A222068, A222069, A222070, A222072, A260646.

Sequence in context: A011068 A078149 A386530 * A160208 A248364 A021776

Adjacent sequences: A222068 A222069 A222070 * A222072 A222073 A222074

Keyword

nonn,cons

Author

N. J. A. Sloane, Feb 10 2013

Status

approved