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 A125847 Denominator of volume of best symplectic packing of n balls in 4-dimensional ball. 5
 1, 2, 4, 1, 5, 25, 64, 289, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Biran showed that A125846(n) = A125847(n) = 1 for all n >= 9. REFERENCES See A125846 for references. LINKS Table of n, a(n) for n=1..92. Index entries for linear recurrences with constant coefficients, signature (1). 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 Cf. A125846. See A030042/A030043 for an unreduced version. Sequence in context: A090285 A286784 A047908 * A078886 A307796 A095247 Adjacent sequences: A125844 A125845 A125846 * A125848 A125849 A125850 KEYWORD nonn,frac,easy AUTHOR Jonathan Vos Post, Dec 11 2006 EXTENSIONS Edited by N. J. A. Sloane, Feb 12 2021 STATUS approved

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Last modified September 17 18:03 EDT 2024. Contains 375990 sequences. (Running on oeis4.)