A030042 - OEIS

A030042

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

1, 1, 3, 1, 20, 24, 63, 288, 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

1,3

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. A030043, A125846/A125847.

Sequence in context: A067802 A181832 A139723 * A045496 A024432 A334910

Adjacent sequences: A030039 A030040 A030041 * A030043 A030044 A030045

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane.

STATUS

approved