Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #14 Jun 11 2023 12:19:53
%S 0,1,2,8,24,121
%N Number of prime knotoids in a sphere with n crossings.
%C 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.
%H Dimos Goundaroulis, Julien Dorier and Andrzej Stasiak, <a href="https://arxiv.org/abs/1902.07277">A systematic classification of knotoids on the plane and on the sphere</a>, arXiv:1902.07277 [math.GT], 2019.
%H Vladimir Turaev, <a href="https://arxiv.org/abs/1002.4133">Knotoids</a>, arXiv:1002.4133 [math.GT], 2010.
%Y Cf. A002863.
%K nonn,more
%O 1,3
%A _Lorenzo Sauras Altuzarra_, Apr 02 2023