A301281 Numerator of proportion of the volume of a unit box in R^4 that can be filled by n disjoint symplectically embedded balls of equal radius.

1, 1, 2, 8, 9, 48, 224, 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

1,3

Links

Table of n, a(n) for n=1..84.

Felix Schlenk, Symplectic embedding problems, old and new, Bull. Amer. Math. Soc., 55 (2018), pp. 139-182.

Example

1/2, 1, 2/3, 8/9, 9/10, 48/49, 224/225, 1, 1, 1, 1, 1, 1, 1, 1, ...

Crossrefs

Cf. A301282 (denominators), A125846, A125847.

Sequence in context: A221049 A181476 A055678 * A091793 A350454 A109351

Adjacent sequences: A301278 A301279 A301280 * A301282 A301283 A301284

Keyword

nonn,frac,easy

Author

N. J. A. Sloane, Mar 20 2018

Status

approved