OFFSET
1,2
REFERENCES
See A125846 for references.
LINKS
FORMULA
A125846(n)/a(n) is maximal symplectic packing density with n balls, as calculated by McDuff and Polterovich.
G.f.: x*(1 + x + 2*x^2 - 3*x^3 + 4*x^4 + 20*x^5 + 39*x^6 + 225*x^7 - 288*x^8)/(1 - x). - Elmo R. Oliveira, Aug 04 2024
EXAMPLE
For n = 1..9, densities are 1, 1/2, 3/4, 1, 4/5, 24/25, 63/64, 288/289, 1.
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
Jonathan Vos Post, Dec 11 2006
EXTENSIONS
Edited by N. J. A. Sloane, Feb 12 2021
STATUS
approved