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A222075 Decimal expansion of (64/10395)*Pi^5. 12
1, 8, 8, 4, 1, 0, 3, 8, 7, 9, 3, 8, 9, 9, 0, 0, 2, 4, 1, 3, 4, 8, 2, 8, 7, 0, 4, 5, 9, 6, 2, 4, 7, 0, 3, 0, 4, 4, 4, 8, 2, 1, 9, 8, 3, 8, 7, 8, 7, 5, 7, 0, 8, 8, 9, 4, 1, 0, 6, 3, 1, 6, 8, 7, 9, 1, 9, 0, 9, 9, 5, 1, 8, 6, 6, 7, 7, 5, 3, 4, 9, 3, 7, 0, 7, 5, 6, 5, 5, 6, 3, 2, 8, 0, 8, 3, 9, 5, 9, 6, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Conjectured to be density of densest packing of equal spheres in 24 dimensions (achieved for example by the Leech lattice).

REFERENCES

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.

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

LINKS

Table of n, a(n) for n=1..101.

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

N. J. A. Sloane, Table of maximal density of a packing of equal spheres in n-dimensional Euclidean space (for n>3 the values are only conjectural).

EXAMPLE

1.8841038793899002413482870459624703044482198387875708894106...

PROG

(Maxima) fpprec : 100$ev((64/10395)*%pi^5)$bfloat(%); /* Martin Ettl, Feb 12 2013 */

(PARI) 64*Pi^5/10395 \\ Charles R Greathouse IV, Oct 31 2014

CROSSREFS

Related constants: A020769, A020789, A093766, A093825, A222066, A222067, A222068, A222069, A222070, A222071, A222072, A222073, A222074.

Sequence in context: A178728 A256489 A129404 * A117040 A085669 A154012

Adjacent sequences:  A222072 A222073 A222074 * A222076 A222077 A222078

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane, Feb 10 2013

STATUS

approved

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Last modified May 31 16:29 EDT 2020. Contains 334748 sequences. (Running on oeis4.)