A030043 Unreduced denominator of volume of best symplectic packing of n balls in 4-dimensional ball.

1, 2, 4, 1, 25, 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

Offset

1,2

Comments

These fractions are not reduced. For the reduced fractions see A125846/A125847. - N. J. A. Sloane, Feb 12 2021

References

P. Biran, Symplectic packing in dimension 4, Geom. Funct. Anal. 7(1997), 420-437, MR1466333.

Dusa McDuff and Leonid Polterovich, Symplectic packings and algebraic geometry, Invent. Math. 115 (1994), 405-434.

Schlenk, Felix. "Dusa McDuff and symplectic geometry." arXiv preprint arXiv:2011.03317 (2020).

Links

Table of n, a(n) for n=1..91.

Crossrefs

Cf. A030042, A125846/A125847.

Sequence in context: A224783 A214058 A173820 * A045497 A117258 A152285

Adjacent sequences: A030040 A030041 A030042 * A030044 A030045 A030046

Keyword

nonn,frac

Author

N. J. A. Sloane.

Status

approved