A361991 Number of prime knotoids in a sphere with n crossings.

0, 1, 2, 8, 24, 121

Offset

1,3

Comments

Knotoids are represented by diagrams in a surface which differ from the usual knot diagrams in that the underlying curve is a segment rather than a circle.

Links

Table of n, a(n) for n=1..6.

Dimos Goundaroulis, Julien Dorier and Andrzej Stasiak, A systematic classification of knotoids on the plane and on the sphere, arXiv:1902.07277 [math.GT], 2019.

Vladimir Turaev, Knotoids, arXiv:1002.4133 [math.GT], 2010.

Crossrefs

Cf. A002863.

Sequence in context: A123775 A052624 A272590 * A087982 A176475 A145238

Adjacent sequences: A361988 A361989 A361990 * A361992 A361993 A361994

Keyword

nonn,more

Author

Lorenzo Sauras Altuzarra, Apr 02 2023

Status

approved