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A222070 Decimal expansion of (1/144)*3^(1/2)*Pi^3. 11
3, 7, 2, 9, 4, 7, 5, 4, 5, 5, 8, 2, 0, 6, 4, 9, 3, 9, 5, 6, 3, 4, 7, 7, 5, 5, 8, 6, 7, 9, 9, 5, 8, 1, 0, 6, 3, 9, 3, 6, 6, 4, 7, 9, 7, 2, 6, 8, 3, 8, 7, 3, 6, 3, 1, 1, 1, 4, 0, 4, 0, 6, 5, 5, 9, 7, 2, 8, 3, 1, 7, 2, 0, 2, 9, 6, 8, 3, 2, 1, 9, 5, 2, 2, 5, 2, 6, 7, 2, 1, 6, 3, 5, 3, 4, 0, 5, 4, 2, 7, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Conjectured to be density of densest packing of equal spheres in six dimensions (achieved for example by the E_6 lattice).
REFERENCES
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer, 3rd. ed., 1998. See p. xix.
LINKS
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_6 lattice.
EXAMPLE
0.3729475455820649395634775586799581063936647972683873631...
MATHEMATICA
RealDigits[Sqrt[3]*Pi^3/144, 10, 120][[1]] (* Amiram Eldar, Jun 28 2023 *)
PROG
(PARI) Pi^3*sqrt(3)/144 \\ Charles R Greathouse IV, Oct 31 2014
CROSSREFS
Sequence in context: A159759 A243964 A197837 * A163917 A266417 A260433
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Feb 10 2013
STATUS
approved

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Last modified August 29 09:16 EDT 2024. Contains 375511 sequences. (Running on oeis4.)