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%I #14 Feb 12 2021 14:16:23
%S 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,
%T 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,
%U 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
%N Denominator of volume of best symplectic packing of n balls in 4-dimensional ball.
%C Explanation, figure, table, references in Traynor. McDuff and Polterovich's existence proof of these packings in nonexplicit; they result from the symplectic blow-up operation. Explicit constructions for n = 8 and n = 9 are still unknown. Biran showed that A125846(n) = A125847(n) = 1 for all n>9.
%D See A125846 for references.
%F A125846(n)/a(n) is maximal symplectic packing density with n balls, as calculated by McDuff and Polterovich.
%e For n = 1..9, densities are 1, 1/2, 3/4, 1, 4/5, 24/25, 63/64, 288/289, 1.
%Y Cf. A125846.
%Y See A030042/A030043 for an unreduced version.
%K nonn,frac
%O 1,2
%A _Jonathan Vos Post_, Dec 11 2006.
%E Edited by _N. J. A. Sloane_, Feb 12 2021
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