A268563 Number of immersions of unoriented circle into oriented sphere with 2n double points such that two different choices of orientation of the circle are related by geotopy.
1, 1, 5, 33, 249, 2036, 17572, 157676, 1457037
Offset: 0
Links
- Robert Coquereaux and Jean-Bernard Zuber, Maps, immersions and permutations, Journal of Knot Theory and Its Ramifications, Vol. 25, No. 8 (2016), 1650047; arXiv preprint, arXiv:1507.03163 [math.CO], 2015-2016. See Eq. (16), r_s.
Formula
Extensions
Name clarified and a(0), a(6)-a(8) added using formula by Andrey Zabolotskiy, Jun 07 2024